[{"citation":{"mla":"Horoshko, Dmitri B., et al. “Time-Resolved Second-Order Autocorrelation Function of Parametric down-Conversion.” <i>Physical Review A</i>, vol. 112, no. 2, 023703, American Physical Society (APS), 2025, doi:<a href=\"https://doi.org/10.1103/7ckm-tm3r\">10.1103/7ckm-tm3r</a>.","ama":"Horoshko DB, Srivastava S, Sośnicki F, et al. Time-resolved second-order autocorrelation function of parametric down-conversion. <i>Physical Review A</i>. 2025;112(2). doi:<a href=\"https://doi.org/10.1103/7ckm-tm3r\">10.1103/7ckm-tm3r</a>","bibtex":"@article{Horoshko_Srivastava_Sośnicki_Mikołajczyk_Karpiński_Brecht_Kolobov_2025, title={Time-resolved second-order autocorrelation function of parametric down-conversion}, volume={112}, DOI={<a href=\"https://doi.org/10.1103/7ckm-tm3r\">10.1103/7ckm-tm3r</a>}, number={2023703}, journal={Physical Review A}, publisher={American Physical Society (APS)}, author={Horoshko, Dmitri B. and Srivastava, Shivang and Sośnicki, Filip and Mikołajczyk, Michał and Karpiński, Michał and Brecht, Benjamin and Kolobov, Mikhail I.}, year={2025} }","apa":"Horoshko, D. B., Srivastava, S., Sośnicki, F., Mikołajczyk, M., Karpiński, M., Brecht, B., &#38; Kolobov, M. I. (2025). Time-resolved second-order autocorrelation function of parametric down-conversion. <i>Physical Review A</i>, <i>112</i>(2), Article 023703. <a href=\"https://doi.org/10.1103/7ckm-tm3r\">https://doi.org/10.1103/7ckm-tm3r</a>","ieee":"D. B. Horoshko <i>et al.</i>, “Time-resolved second-order autocorrelation function of parametric down-conversion,” <i>Physical Review A</i>, vol. 112, no. 2, Art. no. 023703, 2025, doi: <a href=\"https://doi.org/10.1103/7ckm-tm3r\">10.1103/7ckm-tm3r</a>.","short":"D.B. Horoshko, S. Srivastava, F. Sośnicki, M. Mikołajczyk, M. Karpiński, B. Brecht, M.I. Kolobov, Physical Review A 112 (2025).","chicago":"Horoshko, Dmitri B., Shivang Srivastava, Filip Sośnicki, Michał Mikołajczyk, Michał Karpiński, Benjamin Brecht, and Mikhail I. Kolobov. “Time-Resolved Second-Order Autocorrelation Function of Parametric down-Conversion.” <i>Physical Review A</i> 112, no. 2 (2025). <a href=\"https://doi.org/10.1103/7ckm-tm3r\">https://doi.org/10.1103/7ckm-tm3r</a>."},"user_id":"27150","volume":112,"_id":"63214","publisher":"American Physical Society (APS)","status":"public","type":"journal_article","department":[{"_id":"15"},{"_id":"623"}],"date_created":"2025-12-18T16:06:13Z","abstract":[{"lang":"eng","text":"<jats:p>We study a possibility of measuring the time-resolved second-order autocorrelation function of one of two beams generated in type-II parametric down-conversion by means of temporal magnification of this beam, bringing its correlation time from the picosecond to the nanosecond scale, which can be resolved by modern photodetectors. We show that such a measurement enables one to infer directly the degree of global coherence of that beam, which is linked by a simple relation to the number of modes characterizing the entanglement between the two generated beams. We illustrate the proposed method by an example of photon pairs generated in a periodically poled potassium titanyl phosphate (KTP) crystal with a symmetric group velocity matching for various durations of the pump pulse, resulting in different numbers of modes. Our theoretical model also shows that the magnified double-heralded autocorrelation function of one beam exhibits a local maximum around zero delay time, corresponding to photon bunching at a short time scale.</jats:p>"}],"issue":"2","publication":"Physical Review A","doi":"10.1103/7ckm-tm3r","article_number":"023703","language":[{"iso":"eng"}],"date_updated":"2025-12-18T16:06:34Z","publication_status":"published","intvolume":"       112","title":"Time-resolved second-order autocorrelation function of parametric down-conversion","year":"2025","author":[{"full_name":"Horoshko, Dmitri B.","first_name":"Dmitri B.","last_name":"Horoshko"},{"full_name":"Srivastava, Shivang","first_name":"Shivang","last_name":"Srivastava"},{"full_name":"Sośnicki, Filip","last_name":"Sośnicki","first_name":"Filip"},{"last_name":"Mikołajczyk","first_name":"Michał","full_name":"Mikołajczyk, Michał"},{"full_name":"Karpiński, Michał","first_name":"Michał","last_name":"Karpiński"},{"orcid":"0000-0003-4140-0556 ","first_name":"Benjamin","last_name":"Brecht","full_name":"Brecht, Benjamin","id":"27150"},{"first_name":"Mikhail I.","last_name":"Kolobov","full_name":"Kolobov, Mikhail I."}],"publication_identifier":{"issn":["2469-9926","2469-9934"]}},{"publisher":"IOP Publishing","_id":"63215","volume":10,"user_id":"27150","status":"public","citation":{"bibtex":"@article{Serino_Rambach_Brecht_Romero_Silberhorn_2025, title={Self-guided tomography of time-frequency qudits}, volume={10}, DOI={<a href=\"https://doi.org/10.1088/2058-9565/adb0ea\">10.1088/2058-9565/adb0ea</a>}, number={2025024}, journal={Quantum Science and Technology}, publisher={IOP Publishing}, author={Serino, Laura Maria and Rambach, Markus and Brecht, Benjamin and Romero, Jacquiline and Silberhorn, Christine}, year={2025} }","ama":"Serino LM, Rambach M, Brecht B, Romero J, Silberhorn C. Self-guided tomography of time-frequency qudits. <i>Quantum Science and Technology</i>. 2025;10(2). doi:<a href=\"https://doi.org/10.1088/2058-9565/adb0ea\">10.1088/2058-9565/adb0ea</a>","mla":"Serino, Laura Maria, et al. “Self-Guided Tomography of Time-Frequency Qudits.” <i>Quantum Science and Technology</i>, vol. 10, no. 2, 025024, IOP Publishing, 2025, doi:<a href=\"https://doi.org/10.1088/2058-9565/adb0ea\">10.1088/2058-9565/adb0ea</a>.","short":"L.M. Serino, M. Rambach, B. Brecht, J. Romero, C. Silberhorn, Quantum Science and Technology 10 (2025).","chicago":"Serino, Laura Maria, Markus Rambach, Benjamin Brecht, Jacquiline Romero, and Christine Silberhorn. “Self-Guided Tomography of Time-Frequency Qudits.” <i>Quantum Science and Technology</i> 10, no. 2 (2025). <a href=\"https://doi.org/10.1088/2058-9565/adb0ea\">https://doi.org/10.1088/2058-9565/adb0ea</a>.","ieee":"L. M. Serino, M. Rambach, B. Brecht, J. Romero, and C. Silberhorn, “Self-guided tomography of time-frequency qudits,” <i>Quantum Science and Technology</i>, vol. 10, no. 2, Art. no. 025024, 2025, doi: <a href=\"https://doi.org/10.1088/2058-9565/adb0ea\">10.1088/2058-9565/adb0ea</a>.","apa":"Serino, L. M., Rambach, M., Brecht, B., Romero, J., &#38; Silberhorn, C. (2025). Self-guided tomography of time-frequency qudits. <i>Quantum Science and Technology</i>, <i>10</i>(2), Article 025024. <a href=\"https://doi.org/10.1088/2058-9565/adb0ea\">https://doi.org/10.1088/2058-9565/adb0ea</a>"},"language":[{"iso":"eng"}],"article_number":"025024","doi":"10.1088/2058-9565/adb0ea","publication_identifier":{"issn":["2058-9565"]},"author":[{"id":"88242","last_name":"Serino","first_name":"Laura Maria","full_name":"Serino, Laura Maria"},{"full_name":"Rambach, Markus","first_name":"Markus","last_name":"Rambach"},{"full_name":"Brecht, Benjamin","orcid":"0000-0003-4140-0556 ","first_name":"Benjamin","last_name":"Brecht","id":"27150"},{"last_name":"Romero","first_name":"Jacquiline","full_name":"Romero, Jacquiline"},{"last_name":"Silberhorn","first_name":"Christine","full_name":"Silberhorn, Christine","id":"26263"}],"title":"Self-guided tomography of time-frequency qudits","year":"2025","intvolume":"        10","date_updated":"2025-12-18T16:07:35Z","publication_status":"published","date_created":"2025-12-18T16:07:11Z","department":[{"_id":"15"},{"_id":"623"}],"type":"journal_article","issue":"2","publication":"Quantum Science and Technology","abstract":[{"text":"<jats:title>Abstract</jats:title>\r\n               <jats:p>High-dimensional time-frequency encodings have the potential to significantly advance quantum information science; however, practical applications require precise knowledge of the encoded quantum states, which becomes increasingly challenging for larger Hilbert spaces. Self-guided tomography (SGT) has emerged as a practical and scalable technique for this purpose in the spatial domain. Here, we apply SGT to estimate time-frequency states using a multi-output quantum pulse gate. We achieve fidelities of more than 99% for 3- and 5-dimensional states without the need for calibration or post-processing. We demonstrate the robustness of SGT against statistical and environmental noise, highlighting its efficacy in the photon-starved regime typical of quantum information applications.</jats:p>","lang":"eng"}]},{"status":"public","publisher":"Wiley","_id":"63223","user_id":"117722","volume":8,"citation":{"ama":"Johannsmann D, Häusner P, Langhoff A, Leppin C, Reviakine I, Vanoppen V. The Frequency‐Domain Lattice Boltzmann Method (FreqD‐LBM): A Versatile Tool to Predict the QCM Response Induced by Structured Samples. <i>Advanced Theory and Simulations</i>. 2025;8(7). doi:<a href=\"https://doi.org/10.1002/adts.202401373\">10.1002/adts.202401373</a>","bibtex":"@article{Johannsmann_Häusner_Langhoff_Leppin_Reviakine_Vanoppen_2025, title={The Frequency‐Domain Lattice Boltzmann Method (FreqD‐LBM): A Versatile Tool to Predict the QCM Response Induced by Structured Samples}, volume={8}, DOI={<a href=\"https://doi.org/10.1002/adts.202401373\">10.1002/adts.202401373</a>}, number={72401373}, journal={Advanced Theory and Simulations}, publisher={Wiley}, author={Johannsmann, Diethelm and Häusner, Paul and Langhoff, Arne and Leppin, Christian and Reviakine, Ilya and Vanoppen, Viktor}, year={2025} }","mla":"Johannsmann, Diethelm, et al. “The Frequency‐Domain Lattice Boltzmann Method (FreqD‐LBM): A Versatile Tool to Predict the QCM Response Induced by Structured Samples.” <i>Advanced Theory and Simulations</i>, vol. 8, no. 7, 2401373, Wiley, 2025, doi:<a href=\"https://doi.org/10.1002/adts.202401373\">10.1002/adts.202401373</a>.","chicago":"Johannsmann, Diethelm, Paul Häusner, Arne Langhoff, Christian Leppin, Ilya Reviakine, and Viktor Vanoppen. “The Frequency‐Domain Lattice Boltzmann Method (FreqD‐LBM): A Versatile Tool to Predict the QCM Response Induced by Structured Samples.” <i>Advanced Theory and Simulations</i> 8, no. 7 (2025). <a href=\"https://doi.org/10.1002/adts.202401373\">https://doi.org/10.1002/adts.202401373</a>.","short":"D. Johannsmann, P. Häusner, A. Langhoff, C. Leppin, I. Reviakine, V. Vanoppen, Advanced Theory and Simulations 8 (2025).","apa":"Johannsmann, D., Häusner, P., Langhoff, A., Leppin, C., Reviakine, I., &#38; Vanoppen, V. (2025). The Frequency‐Domain Lattice Boltzmann Method (FreqD‐LBM): A Versatile Tool to Predict the QCM Response Induced by Structured Samples. <i>Advanced Theory and Simulations</i>, <i>8</i>(7), Article 2401373. <a href=\"https://doi.org/10.1002/adts.202401373\">https://doi.org/10.1002/adts.202401373</a>","ieee":"D. Johannsmann, P. Häusner, A. Langhoff, C. Leppin, I. Reviakine, and V. Vanoppen, “The Frequency‐Domain Lattice Boltzmann Method (FreqD‐LBM): A Versatile Tool to Predict the QCM Response Induced by Structured Samples,” <i>Advanced Theory and Simulations</i>, vol. 8, no. 7, Art. no. 2401373, 2025, doi: <a href=\"https://doi.org/10.1002/adts.202401373\">10.1002/adts.202401373</a>."},"quality_controlled":"1","title":"The Frequency‐Domain Lattice Boltzmann Method (FreqD‐LBM): A Versatile Tool to Predict the QCM Response Induced by Structured Samples","year":"2025","author":[{"last_name":"Johannsmann","first_name":"Diethelm","full_name":"Johannsmann, Diethelm"},{"full_name":"Häusner, Paul","first_name":"Paul","last_name":"Häusner"},{"first_name":"Arne","last_name":"Langhoff","full_name":"Langhoff, Arne"},{"last_name":"Leppin","first_name":"Christian","full_name":"Leppin, Christian","id":"117722"},{"first_name":"Ilya","last_name":"Reviakine","full_name":"Reviakine, Ilya"},{"last_name":"Vanoppen","first_name":"Viktor","full_name":"Vanoppen, Viktor"}],"publication_identifier":{"issn":["2513-0390","2513-0390"]},"date_updated":"2025-12-18T17:46:34Z","publication_status":"published","intvolume":"         8","article_type":"original","article_number":"2401373","language":[{"iso":"eng"}],"doi":"10.1002/adts.202401373","publication":"Advanced Theory and Simulations","issue":"7","abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>The quartz crystal microbalance with dissipation monitoring (QCM‐D) is routinely used to investigate structured samples. Here, a simulation technique is described, that predicts the shifts of frequency and half bandwidth, Δ<jats:italic>f<jats:sub>n</jats:sub></jats:italic> and ΔΓ<jats:italic><jats:sub>n</jats:sub></jats:italic>, of a quartz resonator operating on different overtone orders, <jats:italic>n</jats:italic>, induced by structured samples in contact with the resonator surface in liquid. The technique, abbreviated as FreqD‐LBM, solves the Stokes equation in the frequency domain. The solution provides the complex amplitude of the area‐averaged tangential stress at the resonator surface, from which Δ<jats:italic>f<jats:sub>n</jats:sub></jats:italic> and ΔΓ<jats:italic><jats:sub>n</jats:sub></jats:italic> are derived. Because the dynamical variables are complex amplitudes, the viscosity can be complex, as well. The technique naturally covers viscoelasticity. Limitations are linked to the grid resolution and to problems at large viscosity. Validation steps include viscoelastic films, rough surfaces, an oscillating cylinder in a viscous medium, and a free‐floating sphere above the resonator. Application examples are soft adsorbed particles, stiff adsorbed particles, and a large, immobile spherical cap above the resonator, which allows to study the high‐frequency properties of the material in the gap. FreqDLBM runs on an office PC and does not require expert knowledge of numerical techniques. It is accessible to an experimentalist.</jats:p>","lang":"eng"}],"date_created":"2025-12-18T16:57:22Z","type":"journal_article"},{"quality_controlled":"1","citation":{"mla":"Stich, Michael, et al. “Comparing the SEI Formation on Copper and Amorphous Carbon: A Study with Combined Operando Methods.” <i>Batteries</i>, vol. 11, no. 7, 273, MDPI AG, 2025, doi:<a href=\"https://doi.org/10.3390/batteries11070273\">10.3390/batteries11070273</a>.","bibtex":"@article{Stich_Leppin_Krauss_Valdes Landa_Pantenburg_Roling_Bund_2025, title={Comparing the SEI Formation on Copper and Amorphous Carbon: A Study with Combined Operando Methods}, volume={11}, DOI={<a href=\"https://doi.org/10.3390/batteries11070273\">10.3390/batteries11070273</a>}, number={7273}, journal={Batteries}, publisher={MDPI AG}, author={Stich, Michael and Leppin, Christian and Krauss, Falk Thorsten and Valdes Landa, Jesus Eduardo and Pantenburg, Isabel and Roling, Bernhard and Bund, Andreas}, year={2025} }","ama":"Stich M, Leppin C, Krauss FT, et al. Comparing the SEI Formation on Copper and Amorphous Carbon: A Study with Combined Operando Methods. <i>Batteries</i>. 2025;11(7). doi:<a href=\"https://doi.org/10.3390/batteries11070273\">10.3390/batteries11070273</a>","ieee":"M. Stich <i>et al.</i>, “Comparing the SEI Formation on Copper and Amorphous Carbon: A Study with Combined Operando Methods,” <i>Batteries</i>, vol. 11, no. 7, Art. no. 273, 2025, doi: <a href=\"https://doi.org/10.3390/batteries11070273\">10.3390/batteries11070273</a>.","apa":"Stich, M., Leppin, C., Krauss, F. T., Valdes Landa, J. E., Pantenburg, I., Roling, B., &#38; Bund, A. (2025). Comparing the SEI Formation on Copper and Amorphous Carbon: A Study with Combined Operando Methods. <i>Batteries</i>, <i>11</i>(7), Article 273. <a href=\"https://doi.org/10.3390/batteries11070273\">https://doi.org/10.3390/batteries11070273</a>","short":"M. Stich, C. Leppin, F.T. Krauss, J.E. Valdes Landa, I. Pantenburg, B. Roling, A. Bund, Batteries 11 (2025).","chicago":"Stich, Michael, Christian Leppin, Falk Thorsten Krauss, Jesus Eduardo Valdes Landa, Isabel Pantenburg, Bernhard Roling, and Andreas Bund. “Comparing the SEI Formation on Copper and Amorphous Carbon: A Study with Combined Operando Methods.” <i>Batteries</i> 11, no. 7 (2025). <a href=\"https://doi.org/10.3390/batteries11070273\">https://doi.org/10.3390/batteries11070273</a>."},"volume":11,"user_id":"117722","publisher":"MDPI AG","_id":"63222","status":"public","type":"journal_article","date_created":"2025-12-18T16:56:12Z","extern":"1","abstract":[{"text":"<jats:p>The solid electrolyte interphase (SEI) on the anode of lithium-ion batteries (LIBs) has been studied thoroughly due to its crucial importance to the battery’s long-term performance. At the same time, most studies of the SEI apply ex situ characterization methods, which may introduce artifacts or misinterpretations as they do not investigate the SEI in its unaltered state immersed in liquid battery electrolyte. Thus, in this work, we focus on using the non-destructive combination of electrochemical quartz crystal microbalance with dissipation monitoring (EQCM-D) and impedance spectroscopy (EIS) in the same electrochemical cell. EQCM-D can not only probe the solidified products of the SEI but also allows for the monitoring of viscoelastic layers and viscosity changes of the electrolyte at the interphase during the SEI formation. EIS complements those results by providing electrochemical properties of the formed interphase. Our results highlight substantial differences in the physical and electrochemical properties between the SEI formed on copper and on amorphous carbon and show how formation parameters and the additive vinylene carbonate (VC) influence their growth. The EQCM-D results show consistently that much thicker SEIs are formed on carbon substrates in comparison to copper substrates.</jats:p>","lang":"eng"}],"publication":"Batteries","issue":"7","doi":"10.3390/batteries11070273","language":[{"iso":"eng"}],"article_number":"273","article_type":"original","intvolume":"        11","publication_status":"published","date_updated":"2025-12-18T17:47:08Z","publication_identifier":{"issn":["2313-0105"]},"author":[{"full_name":"Stich, Michael","last_name":"Stich","first_name":"Michael"},{"last_name":"Leppin","first_name":"Christian","full_name":"Leppin, Christian","id":"117722"},{"full_name":"Krauss, Falk Thorsten","first_name":"Falk Thorsten","last_name":"Krauss"},{"first_name":"Jesus Eduardo","last_name":"Valdes Landa","full_name":"Valdes Landa, Jesus Eduardo"},{"full_name":"Pantenburg, Isabel","last_name":"Pantenburg","first_name":"Isabel"},{"first_name":"Bernhard","last_name":"Roling","full_name":"Roling, Bernhard"},{"last_name":"Bund","first_name":"Andreas","full_name":"Bund, Andreas"}],"year":"2025","title":"Comparing the SEI Formation on Copper and Amorphous Carbon: A Study with Combined Operando Methods"},{"intvolume":"        14","article_type":"original","date_updated":"2025-12-18T17:41:57Z","publication_status":"published","publication_identifier":{"issn":["2223-7747"]},"author":[{"last_name":"Langhoff","first_name":"Arne","full_name":"Langhoff, Arne"},{"full_name":"Peschel, Astrid","last_name":"Peschel","first_name":"Astrid"},{"full_name":"Leppin, Christian","first_name":"Christian","last_name":"Leppin","id":"117722"},{"full_name":"Kruppert, Sebastian","last_name":"Kruppert","first_name":"Sebastian"},{"first_name":"Thomas","last_name":"Speck","full_name":"Speck, Thomas"},{"first_name":"Diethelm","last_name":"Johannsmann","full_name":"Johannsmann, Diethelm"}],"year":"2025","title":"Rapid Solidification of Plant Latices from Campanula glomerata Driven by a Sudden Decrease in Hydrostatic Pressure","doi":"10.3390/plants14050798","language":[{"iso":"eng"}],"article_number":"798","abstract":[{"lang":"eng","text":"<jats:p>By monitoring the solidification of droplets of plant latices with a fast quartz crystal microbalance with dissipation monitoring (QCM-D), droplets from Campanula glomerata were found to solidify much faster than droplets from Euphorbia characias and also faster than droplets from all technical latices tested. A similar conclusion was drawn from optical videos, where the plants were injured and the milky fluid was stretched (sometimes forming fibers) after the cut. Rapid solidification cannot be explained with physical drying because physical drying is transport-limited and therefore is inherently slow. It can, however, be explained with coagulation being triggered by a sudden decrease in hydrostatic pressure. A mechanism based on a pressure drop is corroborated by optical videos of both plants being injured under water. While the liquid exuded by E. characias keeps streaming away, the liquid exuded by C. glomerata quickly forms a plug even under water. Presumably, the pressure drop causes an influx of serum into the laticifers. The serum, in turn, triggers a transition from a liquid–liquid phase separated state (an LLPS state) of a resin and hardener to a single-phase state. QCM measurements, optical videos, and cryo-SEM images suggest that LLPS plays a role in the solidification of C. glomerata.</jats:p>"}],"extern":"1","publication":"Plants","issue":"5","type":"journal_article","date_created":"2025-12-18T16:58:15Z","status":"public","volume":14,"user_id":"117722","_id":"63224","publisher":"MDPI AG","citation":{"chicago":"Langhoff, Arne, Astrid Peschel, Christian Leppin, Sebastian Kruppert, Thomas Speck, and Diethelm Johannsmann. “Rapid Solidification of Plant Latices from Campanula Glomerata Driven by a Sudden Decrease in Hydrostatic Pressure.” <i>Plants</i> 14, no. 5 (2025). <a href=\"https://doi.org/10.3390/plants14050798\">https://doi.org/10.3390/plants14050798</a>.","short":"A. Langhoff, A. Peschel, C. Leppin, S. Kruppert, T. Speck, D. Johannsmann, Plants 14 (2025).","apa":"Langhoff, A., Peschel, A., Leppin, C., Kruppert, S., Speck, T., &#38; Johannsmann, D. (2025). Rapid Solidification of Plant Latices from Campanula glomerata Driven by a Sudden Decrease in Hydrostatic Pressure. <i>Plants</i>, <i>14</i>(5), Article 798. <a href=\"https://doi.org/10.3390/plants14050798\">https://doi.org/10.3390/plants14050798</a>","ieee":"A. Langhoff, A. Peschel, C. Leppin, S. Kruppert, T. Speck, and D. Johannsmann, “Rapid Solidification of Plant Latices from Campanula glomerata Driven by a Sudden Decrease in Hydrostatic Pressure,” <i>Plants</i>, vol. 14, no. 5, Art. no. 798, 2025, doi: <a href=\"https://doi.org/10.3390/plants14050798\">10.3390/plants14050798</a>.","ama":"Langhoff A, Peschel A, Leppin C, Kruppert S, Speck T, Johannsmann D. Rapid Solidification of Plant Latices from Campanula glomerata Driven by a Sudden Decrease in Hydrostatic Pressure. <i>Plants</i>. 2025;14(5). doi:<a href=\"https://doi.org/10.3390/plants14050798\">10.3390/plants14050798</a>","bibtex":"@article{Langhoff_Peschel_Leppin_Kruppert_Speck_Johannsmann_2025, title={Rapid Solidification of Plant Latices from Campanula glomerata Driven by a Sudden Decrease in Hydrostatic Pressure}, volume={14}, DOI={<a href=\"https://doi.org/10.3390/plants14050798\">10.3390/plants14050798</a>}, number={5798}, journal={Plants}, publisher={MDPI AG}, author={Langhoff, Arne and Peschel, Astrid and Leppin, Christian and Kruppert, Sebastian and Speck, Thomas and Johannsmann, Diethelm}, year={2025} }","mla":"Langhoff, Arne, et al. “Rapid Solidification of Plant Latices from Campanula Glomerata Driven by a Sudden Decrease in Hydrostatic Pressure.” <i>Plants</i>, vol. 14, no. 5, 798, MDPI AG, 2025, doi:<a href=\"https://doi.org/10.3390/plants14050798\">10.3390/plants14050798</a>."}},{"type":"journal_article","date_created":"2025-12-18T16:59:12Z","abstract":[{"lang":"eng","text":"Various polycations and polyanions were sequentially adsorbed onto the gold electrode of a quartz crystal microbalance with dissipation monitoring. The study focused on determining the adsorption kinetics, viscoelastic properties, and electroresponsivity of polyelectrolyte layers. For the first time, it was demonstrated that the structure (compact or expanded) of the layers can be determined by electroresponsivity. Viscoelastic modeling alone did not provide a conclusive answer as to whether the layers were compact or expanded. The study was further enriched by streaming potential and contact angle measurements, where polyelectrolyte multilayers were formed on mica. It was found that successive adsorption of layers led to periodic inversion of the zeta potential. Systematic differences were observed between the different top layers, which were explained by intermixing between layers. The presence or absence of interpenetration, as determined by the measurements of streaming potential and contact angles, correlated well with electroresponsivity."}],"extern":"1","issue":"2","publication":"Biomacromolecules","doi":"10.1021/acs.biomac.4c01205","language":[{"iso":"eng"}],"intvolume":"        26","article_type":"original","date_updated":"2025-12-18T17:44:44Z","publication_status":"published","publication_identifier":{"issn":["1525-7797","1526-4602"]},"author":[{"id":"117722","last_name":"Leppin","first_name":"Christian","full_name":"Leppin, Christian"},{"first_name":"Agata","last_name":"Pomorska","full_name":"Pomorska, Agata"},{"last_name":"Morga","first_name":"Maria","full_name":"Morga, Maria"},{"first_name":"Pawel","last_name":"Pomastowski","full_name":"Pomastowski, Pawel"},{"full_name":"Fijałkowski, Piotr","last_name":"Fijałkowski","first_name":"Piotr"},{"full_name":"Michna, Aneta","last_name":"Michna","first_name":"Aneta"},{"full_name":"Johannsmann, Diethelm","first_name":"Diethelm","last_name":"Johannsmann"}],"year":"2025","title":"Swelling Degree of Polyelectrolyte Layers Determined by an Electrochemical Quartz Crystal Microbalance","citation":{"chicago":"Leppin, Christian, Agata Pomorska, Maria Morga, Pawel Pomastowski, Piotr Fijałkowski, Aneta Michna, and Diethelm Johannsmann. “Swelling Degree of Polyelectrolyte Layers Determined by an Electrochemical Quartz Crystal Microbalance.” <i>Biomacromolecules</i> 26, no. 2 (2025): 914–28. <a href=\"https://doi.org/10.1021/acs.biomac.4c01205\">https://doi.org/10.1021/acs.biomac.4c01205</a>.","short":"C. Leppin, A. Pomorska, M. Morga, P. Pomastowski, P. Fijałkowski, A. Michna, D. Johannsmann, Biomacromolecules 26 (2025) 914–928.","apa":"Leppin, C., Pomorska, A., Morga, M., Pomastowski, P., Fijałkowski, P., Michna, A., &#38; Johannsmann, D. (2025). Swelling Degree of Polyelectrolyte Layers Determined by an Electrochemical Quartz Crystal Microbalance. <i>Biomacromolecules</i>, <i>26</i>(2), 914–928. <a href=\"https://doi.org/10.1021/acs.biomac.4c01205\">https://doi.org/10.1021/acs.biomac.4c01205</a>","ieee":"C. Leppin <i>et al.</i>, “Swelling Degree of Polyelectrolyte Layers Determined by an Electrochemical Quartz Crystal Microbalance,” <i>Biomacromolecules</i>, vol. 26, no. 2, pp. 914–928, 2025, doi: <a href=\"https://doi.org/10.1021/acs.biomac.4c01205\">10.1021/acs.biomac.4c01205</a>.","ama":"Leppin C, Pomorska A, Morga M, et al. Swelling Degree of Polyelectrolyte Layers Determined by an Electrochemical Quartz Crystal Microbalance. <i>Biomacromolecules</i>. 2025;26(2):914-928. doi:<a href=\"https://doi.org/10.1021/acs.biomac.4c01205\">10.1021/acs.biomac.4c01205</a>","bibtex":"@article{Leppin_Pomorska_Morga_Pomastowski_Fijałkowski_Michna_Johannsmann_2025, title={Swelling Degree of Polyelectrolyte Layers Determined by an Electrochemical Quartz Crystal Microbalance}, volume={26}, DOI={<a href=\"https://doi.org/10.1021/acs.biomac.4c01205\">10.1021/acs.biomac.4c01205</a>}, number={2}, journal={Biomacromolecules}, publisher={American Chemical Society (ACS)}, author={Leppin, Christian and Pomorska, Agata and Morga, Maria and Pomastowski, Pawel and Fijałkowski, Piotr and Michna, Aneta and Johannsmann, Diethelm}, year={2025}, pages={914–928} }","mla":"Leppin, Christian, et al. “Swelling Degree of Polyelectrolyte Layers Determined by an Electrochemical Quartz Crystal Microbalance.” <i>Biomacromolecules</i>, vol. 26, no. 2, American Chemical Society (ACS), 2025, pp. 914–28, doi:<a href=\"https://doi.org/10.1021/acs.biomac.4c01205\">10.1021/acs.biomac.4c01205</a>."},"volume":26,"user_id":"117722","_id":"63225","publisher":"American Chemical Society (ACS)","page":"914-928","status":"public"},{"citation":{"ieee":"C. Leppin, A. Langhoff, and D. Johannsmann, “A fast electrochemical quartz crystal microbalance (EQCM) evidences the presence of nanobubbles in alkaline water splitting,” <i>Physical Chemistry Chemical Physics</i>, vol. 27, no. 37, pp. 19733–19747, 2025, doi: <a href=\"https://doi.org/10.1039/d5cp02691a\">10.1039/d5cp02691a</a>.","apa":"Leppin, C., Langhoff, A., &#38; Johannsmann, D. (2025). A fast electrochemical quartz crystal microbalance (EQCM) evidences the presence of nanobubbles in alkaline water splitting. <i>Physical Chemistry Chemical Physics</i>, <i>27</i>(37), 19733–19747. <a href=\"https://doi.org/10.1039/d5cp02691a\">https://doi.org/10.1039/d5cp02691a</a>","short":"C. Leppin, A. Langhoff, D. Johannsmann, Physical Chemistry Chemical Physics 27 (2025) 19733–19747.","chicago":"Leppin, Christian, Arne Langhoff, and Diethelm Johannsmann. “A Fast Electrochemical Quartz Crystal Microbalance (EQCM) Evidences the Presence of Nanobubbles in Alkaline Water Splitting.” <i>Physical Chemistry Chemical Physics</i> 27, no. 37 (2025): 19733–47. <a href=\"https://doi.org/10.1039/d5cp02691a\">https://doi.org/10.1039/d5cp02691a</a>.","mla":"Leppin, Christian, et al. “A Fast Electrochemical Quartz Crystal Microbalance (EQCM) Evidences the Presence of Nanobubbles in Alkaline Water Splitting.” <i>Physical Chemistry Chemical Physics</i>, vol. 27, no. 37, Royal Society of Chemistry (RSC), 2025, pp. 19733–47, doi:<a href=\"https://doi.org/10.1039/d5cp02691a\">10.1039/d5cp02691a</a>.","bibtex":"@article{Leppin_Langhoff_Johannsmann_2025, title={A fast electrochemical quartz crystal microbalance (EQCM) evidences the presence of nanobubbles in alkaline water splitting}, volume={27}, DOI={<a href=\"https://doi.org/10.1039/d5cp02691a\">10.1039/d5cp02691a</a>}, number={37}, journal={Physical Chemistry Chemical Physics}, publisher={Royal Society of Chemistry (RSC)}, author={Leppin, Christian and Langhoff, Arne and Johannsmann, Diethelm}, year={2025}, pages={19733–19747} }","ama":"Leppin C, Langhoff A, Johannsmann D. A fast electrochemical quartz crystal microbalance (EQCM) evidences the presence of nanobubbles in alkaline water splitting. <i>Physical Chemistry Chemical Physics</i>. 2025;27(37):19733-19747. doi:<a href=\"https://doi.org/10.1039/d5cp02691a\">10.1039/d5cp02691a</a>"},"_id":"63226","publisher":"Royal Society of Chemistry (RSC)","page":"19733-19747","volume":27,"user_id":"117722","status":"public","date_created":"2025-12-18T17:00:11Z","type":"journal_article","issue":"37","publication":"Physical Chemistry Chemical Physics","abstract":[{"lang":"eng","text":"<jats:p>Nanobubbles in water splitting are recognized by the EQCM-D. They are ubiquitous. Lifetimes are in the range of seconds.</jats:p>"}],"extern":"1","language":[{"iso":"eng"}],"doi":"10.1039/d5cp02691a","publication_identifier":{"issn":["1463-9076","1463-9084"]},"author":[{"id":"117722","full_name":"Leppin, Christian","last_name":"Leppin","first_name":"Christian"},{"first_name":"Arne","last_name":"Langhoff","full_name":"Langhoff, Arne"},{"first_name":"Diethelm","last_name":"Johannsmann","full_name":"Johannsmann, Diethelm"}],"title":"A fast electrochemical quartz crystal microbalance (EQCM) evidences the presence of nanobubbles in alkaline water splitting","year":"2025","intvolume":"        27","article_type":"original","date_updated":"2025-12-18T17:43:25Z","publication_status":"published"},{"date_created":"2025-12-18T18:59:39Z","type":"journal_article","publication":"Journal of the European Mathematical Society","citation":{"ama":"Winkler M. Can diffusion degeneracies enhance complexity in chemotactic aggregation? Finite-time blow-up on spheres in a quasilinear Keller–Segel system. <i>Journal of the European Mathematical Society</i>. Published online 2025. doi:<a href=\"https://doi.org/10.4171/jems/1607\">10.4171/jems/1607</a>","bibtex":"@article{Winkler_2025, title={Can diffusion degeneracies enhance complexity in chemotactic aggregation? Finite-time blow-up on spheres in a quasilinear Keller–Segel system}, DOI={<a href=\"https://doi.org/10.4171/jems/1607\">10.4171/jems/1607</a>}, journal={Journal of the European Mathematical Society}, publisher={European Mathematical Society - EMS - Publishing House GmbH}, author={Winkler, Michael}, year={2025} }","mla":"Winkler, Michael. “Can Diffusion Degeneracies Enhance Complexity in Chemotactic Aggregation? Finite-Time Blow-up on Spheres in a Quasilinear Keller–Segel System.” <i>Journal of the European Mathematical Society</i>, European Mathematical Society - EMS - Publishing House GmbH, 2025, doi:<a href=\"https://doi.org/10.4171/jems/1607\">10.4171/jems/1607</a>.","chicago":"Winkler, Michael. “Can Diffusion Degeneracies Enhance Complexity in Chemotactic Aggregation? Finite-Time Blow-up on Spheres in a Quasilinear Keller–Segel System.” <i>Journal of the European Mathematical Society</i>, 2025. <a href=\"https://doi.org/10.4171/jems/1607\">https://doi.org/10.4171/jems/1607</a>.","short":"M. Winkler, Journal of the European Mathematical Society (2025).","apa":"Winkler, M. (2025). Can diffusion degeneracies enhance complexity in chemotactic aggregation? Finite-time blow-up on spheres in a quasilinear Keller–Segel system. <i>Journal of the European Mathematical Society</i>. <a href=\"https://doi.org/10.4171/jems/1607\">https://doi.org/10.4171/jems/1607</a>","ieee":"M. Winkler, “Can diffusion degeneracies enhance complexity in chemotactic aggregation? Finite-time blow-up on spheres in a quasilinear Keller–Segel system,” <i>Journal of the European Mathematical Society</i>, 2025, doi: <a href=\"https://doi.org/10.4171/jems/1607\">10.4171/jems/1607</a>."},"abstract":[{"text":"<jats:p>\r\n            The Cauchy problem in \r\n            <jats:inline-formula>\r\n              <jats:tex-math>\\mathbb{R}^{n}</jats:tex-math>\r\n            </jats:inline-formula>\r\n             for the cross-diffusion system \r\n          </jats:p>\r\n          <jats:p>\r\n            <jats:disp-formula>\r\n              <jats:tex-math>\\begin{cases}u_{t} = \\nabla \\cdot (D(u)\\nabla u) - \\nabla\\cdot (u\\nabla v), \\\\ 0 = \\Delta v +u,\\end{cases}</jats:tex-math>\r\n            </jats:disp-formula>\r\n          </jats:p>\r\n          <jats:p>\r\n             is considered for \r\n            <jats:inline-formula>\r\n              <jats:tex-math>n\\ge 2</jats:tex-math>\r\n            </jats:inline-formula>\r\n             and under assumptions ensuring that \r\n            <jats:inline-formula>\r\n              <jats:tex-math>D</jats:tex-math>\r\n            </jats:inline-formula>\r\n             suitably generalizes the prototype given by \r\n          </jats:p>\r\n          <jats:p>\r\n            <jats:disp-formula>\r\n              <jats:tex-math>D(\\xi)=(\\xi+1)^{-\\alpha}, \\quad \\xi\\ge 0.</jats:tex-math>\r\n            </jats:disp-formula>\r\n          </jats:p>\r\n          <jats:p>\r\n             Under the assumption that \r\n            <jats:inline-formula>\r\n              <jats:tex-math>\\alpha&gt;1</jats:tex-math>\r\n            </jats:inline-formula>\r\n            , it is shown that for any \r\n            <jats:inline-formula>\r\n              <jats:tex-math>r_{\\star}&gt;0</jats:tex-math>\r\n            </jats:inline-formula>\r\n             and \r\n            <jats:inline-formula>\r\n              <jats:tex-math>\\delta\\in (0,1)</jats:tex-math>\r\n            </jats:inline-formula>\r\n             one can find radially symmetric initial data from \r\n            <jats:inline-formula>\r\n              <jats:tex-math>C_{0}^{\\infty}(\\mathbb{R}^{n})</jats:tex-math>\r\n            </jats:inline-formula>\r\n             such that the corresponding solution blows up within some finite time, and that this explosion occurs throughout certain spheres in an appropriate sense, with any such sphere being located in the annulus \r\n            <jats:inline-formula>\r\n              <jats:tex-math>\\overline{B}_{r_\\star+\\delta}(0)\\setminus B_{(1-\\delta)r_\\star}(0)</jats:tex-math>\r\n            </jats:inline-formula>\r\n            .This is complemented by a result revealing that when \r\n            <jats:inline-formula>\r\n              <jats:tex-math>\\alpha&lt;1</jats:tex-math>\r\n            </jats:inline-formula>\r\n            , any finite-mass unbounded radial solution must blow up exclusively at the spatial origin.\r\n          </jats:p>","lang":"eng"}],"_id":"63244","publisher":"European Mathematical Society - EMS - Publishing House GmbH","language":[{"iso":"eng"}],"user_id":"31496","doi":"10.4171/jems/1607","title":"Can diffusion degeneracies enhance complexity in chemotactic aggregation? Finite-time blow-up on spheres in a quasilinear Keller–Segel system","year":"2025","status":"public","publication_identifier":{"issn":["1435-9855","1435-9863"]},"author":[{"id":"31496","first_name":"Michael","last_name":"Winkler","full_name":"Winkler, Michael"}],"publication_status":"published","date_updated":"2025-12-18T20:12:36Z"},{"citation":{"chicago":"Tao, Youshan, and Michael Winkler. “A Switch in Dimension Dependence of Critical Blow-up Exponents in a Keller-Segel System Involving Indirect Signal Production.” <i>Journal of Differential Equations</i> 423 (2025): 197–239. <a href=\"https://doi.org/10.1016/j.jde.2024.12.040\">https://doi.org/10.1016/j.jde.2024.12.040</a>.","short":"Y. Tao, M. Winkler, Journal of Differential Equations 423 (2025) 197–239.","apa":"Tao, Y., &#38; Winkler, M. (2025). A switch in dimension dependence of critical blow-up exponents in a Keller-Segel system involving indirect signal production. <i>Journal of Differential Equations</i>, <i>423</i>, 197–239. <a href=\"https://doi.org/10.1016/j.jde.2024.12.040\">https://doi.org/10.1016/j.jde.2024.12.040</a>","ieee":"Y. Tao and M. Winkler, “A switch in dimension dependence of critical blow-up exponents in a Keller-Segel system involving indirect signal production,” <i>Journal of Differential Equations</i>, vol. 423, pp. 197–239, 2025, doi: <a href=\"https://doi.org/10.1016/j.jde.2024.12.040\">10.1016/j.jde.2024.12.040</a>.","ama":"Tao Y, Winkler M. A switch in dimension dependence of critical blow-up exponents in a Keller-Segel system involving indirect signal production. <i>Journal of Differential Equations</i>. 2025;423:197-239. doi:<a href=\"https://doi.org/10.1016/j.jde.2024.12.040\">10.1016/j.jde.2024.12.040</a>","bibtex":"@article{Tao_Winkler_2025, title={A switch in dimension dependence of critical blow-up exponents in a Keller-Segel system involving indirect signal production}, volume={423}, DOI={<a href=\"https://doi.org/10.1016/j.jde.2024.12.040\">10.1016/j.jde.2024.12.040</a>}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Tao, Youshan and Winkler, Michael}, year={2025}, pages={197–239} }","mla":"Tao, Youshan, and Michael Winkler. “A Switch in Dimension Dependence of Critical Blow-up Exponents in a Keller-Segel System Involving Indirect Signal Production.” <i>Journal of Differential Equations</i>, vol. 423, Elsevier BV, 2025, pp. 197–239, doi:<a href=\"https://doi.org/10.1016/j.jde.2024.12.040\">10.1016/j.jde.2024.12.040</a>."},"publication":"Journal of Differential Equations","type":"journal_article","date_created":"2025-12-18T19:01:40Z","intvolume":"       423","date_updated":"2025-12-18T20:12:58Z","publication_status":"published","author":[{"first_name":"Youshan","last_name":"Tao","full_name":"Tao, Youshan"},{"first_name":"Michael","last_name":"Winkler","full_name":"Winkler, Michael","id":"31496"}],"publication_identifier":{"issn":["0022-0396"]},"status":"public","title":"A switch in dimension dependence of critical blow-up exponents in a Keller-Segel system involving indirect signal production","year":"2025","volume":423,"doi":"10.1016/j.jde.2024.12.040","user_id":"31496","_id":"63247","language":[{"iso":"eng"}],"publisher":"Elsevier BV","page":"197-239"},{"publication_identifier":{"issn":["1674-7283","1869-1862"]},"author":[{"first_name":"Youshan","last_name":"Tao","full_name":"Tao, Youshan"},{"first_name":"Michael","last_name":"Winkler","full_name":"Winkler, Michael","id":"31496"}],"title":"A unified approach to existence theories for singular chemotaxis systems with nonlinear signal production","status":"public","year":"2025","intvolume":"        68","publication_status":"published","date_updated":"2025-12-18T20:13:40Z","publisher":"Springer Science and Business Media LLC","_id":"63252","language":[{"iso":"eng"}],"page":"2867-2900","volume":68,"user_id":"31496","doi":"10.1007/s11425-023-2397-y","citation":{"mla":"Tao, Youshan, and Michael Winkler. “A Unified Approach to Existence Theories for Singular Chemotaxis Systems with Nonlinear Signal Production.” <i>Science China Mathematics</i>, vol. 68, no. 12, Springer Science and Business Media LLC, 2025, pp. 2867–900, doi:<a href=\"https://doi.org/10.1007/s11425-023-2397-y\">10.1007/s11425-023-2397-y</a>.","bibtex":"@article{Tao_Winkler_2025, title={A unified approach to existence theories for singular chemotaxis systems with nonlinear signal production}, volume={68}, DOI={<a href=\"https://doi.org/10.1007/s11425-023-2397-y\">10.1007/s11425-023-2397-y</a>}, number={12}, journal={Science China Mathematics}, publisher={Springer Science and Business Media LLC}, author={Tao, Youshan and Winkler, Michael}, year={2025}, pages={2867–2900} }","ama":"Tao Y, Winkler M. A unified approach to existence theories for singular chemotaxis systems with nonlinear signal production. <i>Science China Mathematics</i>. 2025;68(12):2867-2900. doi:<a href=\"https://doi.org/10.1007/s11425-023-2397-y\">10.1007/s11425-023-2397-y</a>","ieee":"Y. Tao and M. Winkler, “A unified approach to existence theories for singular chemotaxis systems with nonlinear signal production,” <i>Science China Mathematics</i>, vol. 68, no. 12, pp. 2867–2900, 2025, doi: <a href=\"https://doi.org/10.1007/s11425-023-2397-y\">10.1007/s11425-023-2397-y</a>.","apa":"Tao, Y., &#38; Winkler, M. (2025). A unified approach to existence theories for singular chemotaxis systems with nonlinear signal production. <i>Science China Mathematics</i>, <i>68</i>(12), 2867–2900. <a href=\"https://doi.org/10.1007/s11425-023-2397-y\">https://doi.org/10.1007/s11425-023-2397-y</a>","short":"Y. Tao, M. Winkler, Science China Mathematics 68 (2025) 2867–2900.","chicago":"Tao, Youshan, and Michael Winkler. “A Unified Approach to Existence Theories for Singular Chemotaxis Systems with Nonlinear Signal Production.” <i>Science China Mathematics</i> 68, no. 12 (2025): 2867–2900. <a href=\"https://doi.org/10.1007/s11425-023-2397-y\">https://doi.org/10.1007/s11425-023-2397-y</a>."},"issue":"12","publication":"Science China Mathematics","date_created":"2025-12-18T19:04:17Z","type":"journal_article"},{"year":"2025","title":"Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters","publication_identifier":{"issn":["0095-4616","1432-0606"]},"author":[{"id":"31496","first_name":"Michael","last_name":"Winkler","full_name":"Winkler, Michael"}],"publication_status":"published","date_updated":"2025-12-18T20:20:16Z","intvolume":"        91","article_number":"44","language":[{"iso":"eng"}],"doi":"10.1007/s00245-025-10243-9","publication":"Applied Mathematics &amp; Optimization","issue":"2","abstract":[{"text":"<jats:title>Abstract</jats:title>\r\n          <jats:p>A Neumann-type initial-boundary value problem for <jats:disp-formula>\r\n              <jats:alternatives>\r\n                <jats:tex-math>$$\\begin{aligned} \\left\\{ \\begin{array}{l} u_{tt} = \\nabla \\cdot (\\gamma (\\Theta ) \\nabla u_t) + a \\nabla \\cdot (\\gamma (\\Theta ) \\nabla u) + \\nabla \\cdot f(\\Theta ), \\\\ \\Theta _t = D\\Delta \\Theta + \\Gamma (\\Theta ) |\\nabla u_t|^2 + F(\\Theta )\\cdot \\nabla u_t, \\end{array} \\right. \\end{aligned}$$</jats:tex-math>\r\n                <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mtable>\r\n                      <mml:mtr>\r\n                        <mml:mtd>\r\n                          <mml:mfenced>\r\n                            <mml:mrow>\r\n                              <mml:mtable>\r\n                                <mml:mtr>\r\n                                  <mml:mtd>\r\n                                    <mml:mrow>\r\n                                      <mml:msub>\r\n                                        <mml:mi>u</mml:mi>\r\n                                        <mml:mrow>\r\n                                          <mml:mi>tt</mml:mi>\r\n                                        </mml:mrow>\r\n                                      </mml:msub>\r\n                                      <mml:mo>=</mml:mo>\r\n                                      <mml:mi>∇</mml:mi>\r\n                                      <mml:mo>·</mml:mo>\r\n                                      <mml:mrow>\r\n                                        <mml:mo>(</mml:mo>\r\n                                        <mml:mi>γ</mml:mi>\r\n                                        <mml:mrow>\r\n                                          <mml:mo>(</mml:mo>\r\n                                          <mml:mi>Θ</mml:mi>\r\n                                          <mml:mo>)</mml:mo>\r\n                                        </mml:mrow>\r\n                                        <mml:mi>∇</mml:mi>\r\n                                        <mml:msub>\r\n                                          <mml:mi>u</mml:mi>\r\n                                          <mml:mi>t</mml:mi>\r\n                                        </mml:msub>\r\n                                        <mml:mo>)</mml:mo>\r\n                                      </mml:mrow>\r\n                                      <mml:mo>+</mml:mo>\r\n                                      <mml:mi>a</mml:mi>\r\n                                      <mml:mi>∇</mml:mi>\r\n                                      <mml:mo>·</mml:mo>\r\n                                      <mml:mrow>\r\n                                        <mml:mo>(</mml:mo>\r\n                                        <mml:mi>γ</mml:mi>\r\n                                        <mml:mrow>\r\n                                          <mml:mo>(</mml:mo>\r\n                                          <mml:mi>Θ</mml:mi>\r\n                                          <mml:mo>)</mml:mo>\r\n                                        </mml:mrow>\r\n                                        <mml:mi>∇</mml:mi>\r\n                                        <mml:mi>u</mml:mi>\r\n                                        <mml:mo>)</mml:mo>\r\n                                      </mml:mrow>\r\n                                      <mml:mo>+</mml:mo>\r\n                                      <mml:mi>∇</mml:mi>\r\n                                      <mml:mo>·</mml:mo>\r\n                                      <mml:mi>f</mml:mi>\r\n                                      <mml:mrow>\r\n                                        <mml:mo>(</mml:mo>\r\n                                        <mml:mi>Θ</mml:mi>\r\n                                        <mml:mo>)</mml:mo>\r\n                                      </mml:mrow>\r\n                                      <mml:mo>,</mml:mo>\r\n                                    </mml:mrow>\r\n                                  </mml:mtd>\r\n                                </mml:mtr>\r\n                                <mml:mtr>\r\n                                  <mml:mtd>\r\n                                    <mml:mrow>\r\n                                      <mml:mrow/>\r\n                                      <mml:msub>\r\n                                        <mml:mi>Θ</mml:mi>\r\n                                        <mml:mi>t</mml:mi>\r\n                                      </mml:msub>\r\n                                      <mml:mo>=</mml:mo>\r\n                                      <mml:mi>D</mml:mi>\r\n                                      <mml:mi>Δ</mml:mi>\r\n                                      <mml:mi>Θ</mml:mi>\r\n                                      <mml:mo>+</mml:mo>\r\n                                      <mml:mi>Γ</mml:mi>\r\n                                      <mml:mrow>\r\n                                        <mml:mo>(</mml:mo>\r\n                                        <mml:mi>Θ</mml:mi>\r\n                                        <mml:mo>)</mml:mo>\r\n                                      </mml:mrow>\r\n                                      <mml:msup>\r\n                                        <mml:mrow>\r\n                                          <mml:mo>|</mml:mo>\r\n                                          <mml:mi>∇</mml:mi>\r\n                                          <mml:msub>\r\n                                            <mml:mi>u</mml:mi>\r\n                                            <mml:mi>t</mml:mi>\r\n                                          </mml:msub>\r\n                                          <mml:mo>|</mml:mo>\r\n                                        </mml:mrow>\r\n                                        <mml:mn>2</mml:mn>\r\n                                      </mml:msup>\r\n                                      <mml:mo>+</mml:mo>\r\n                                      <mml:mi>F</mml:mi>\r\n                                      <mml:mrow>\r\n                                        <mml:mo>(</mml:mo>\r\n                                        <mml:mi>Θ</mml:mi>\r\n                                        <mml:mo>)</mml:mo>\r\n                                      </mml:mrow>\r\n                                      <mml:mo>·</mml:mo>\r\n                                      <mml:mi>∇</mml:mi>\r\n                                      <mml:msub>\r\n                                        <mml:mi>u</mml:mi>\r\n                                        <mml:mi>t</mml:mi>\r\n                                      </mml:msub>\r\n                                      <mml:mo>,</mml:mo>\r\n                                    </mml:mrow>\r\n                                  </mml:mtd>\r\n                                </mml:mtr>\r\n                              </mml:mtable>\r\n                            </mml:mrow>\r\n                          </mml:mfenced>\r\n                        </mml:mtd>\r\n                      </mml:mtr>\r\n                    </mml:mtable>\r\n                  </mml:mrow>\r\n                </mml:math>\r\n              </jats:alternatives>\r\n            </jats:disp-formula>is considered in a smoothly bounded domain <jats:inline-formula>\r\n              <jats:alternatives>\r\n                <jats:tex-math>$$\\Omega \\subset \\mathbb {R}^n$$</jats:tex-math>\r\n                <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mi>Ω</mml:mi>\r\n                    <mml:mo>⊂</mml:mo>\r\n                    <mml:msup>\r\n                      <mml:mrow>\r\n                        <mml:mi>R</mml:mi>\r\n                      </mml:mrow>\r\n                      <mml:mi>n</mml:mi>\r\n                    </mml:msup>\r\n                  </mml:mrow>\r\n                </mml:math>\r\n              </jats:alternatives>\r\n            </jats:inline-formula>, <jats:inline-formula>\r\n              <jats:alternatives>\r\n                <jats:tex-math>$$n\\ge 1$$</jats:tex-math>\r\n                <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mi>n</mml:mi>\r\n                    <mml:mo>≥</mml:mo>\r\n                    <mml:mn>1</mml:mn>\r\n                  </mml:mrow>\r\n                </mml:math>\r\n              </jats:alternatives>\r\n            </jats:inline-formula>. In the case when <jats:inline-formula>\r\n              <jats:alternatives>\r\n                <jats:tex-math>$$n=1$$</jats:tex-math>\r\n                <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mi>n</mml:mi>\r\n                    <mml:mo>=</mml:mo>\r\n                    <mml:mn>1</mml:mn>\r\n                  </mml:mrow>\r\n                </mml:math>\r\n              </jats:alternatives>\r\n            </jats:inline-formula>, <jats:inline-formula>\r\n              <jats:alternatives>\r\n                <jats:tex-math>$$\\gamma \\equiv \\Gamma $$</jats:tex-math>\r\n                <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mi>γ</mml:mi>\r\n                    <mml:mo>≡</mml:mo>\r\n                    <mml:mi>Γ</mml:mi>\r\n                  </mml:mrow>\r\n                </mml:math>\r\n              </jats:alternatives>\r\n            </jats:inline-formula> and <jats:inline-formula>\r\n              <jats:alternatives>\r\n                <jats:tex-math>$$f\\equiv F$$</jats:tex-math>\r\n                <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mi>f</mml:mi>\r\n                    <mml:mo>≡</mml:mo>\r\n                    <mml:mi>F</mml:mi>\r\n                  </mml:mrow>\r\n                </mml:math>\r\n              </jats:alternatives>\r\n            </jats:inline-formula>, this system coincides with the standard model for heat generation in a viscoelastic material of Kelvin-Voigt type, well-understood in situations in which <jats:inline-formula>\r\n              <jats:alternatives>\r\n                <jats:tex-math>$$\\gamma =const$$</jats:tex-math>\r\n                <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mi>γ</mml:mi>\r\n                    <mml:mo>=</mml:mo>\r\n                    <mml:mi>c</mml:mi>\r\n                    <mml:mi>o</mml:mi>\r\n                    <mml:mi>n</mml:mi>\r\n                    <mml:mi>s</mml:mi>\r\n                    <mml:mi>t</mml:mi>\r\n                  </mml:mrow>\r\n                </mml:math>\r\n              </jats:alternatives>\r\n            </jats:inline-formula>. Covering scenarios in which all key ingredients <jats:inline-formula>\r\n              <jats:alternatives>\r\n                <jats:tex-math>$$\\gamma ,\\Gamma ,f$$</jats:tex-math>\r\n                <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mi>γ</mml:mi>\r\n                    <mml:mo>,</mml:mo>\r\n                    <mml:mi>Γ</mml:mi>\r\n                    <mml:mo>,</mml:mo>\r\n                    <mml:mi>f</mml:mi>\r\n                  </mml:mrow>\r\n                </mml:math>\r\n              </jats:alternatives>\r\n            </jats:inline-formula> and <jats:italic>F</jats:italic> may depend on the temperature <jats:inline-formula>\r\n              <jats:alternatives>\r\n                <jats:tex-math>$$\\Theta $$</jats:tex-math>\r\n                <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mi>Θ</mml:mi>\r\n                </mml:math>\r\n              </jats:alternatives>\r\n            </jats:inline-formula> here, for initial data which merely satisfy <jats:inline-formula>\r\n              <jats:alternatives>\r\n                <jats:tex-math>$$u_0\\in W^{1,p+2}(\\Omega )$$</jats:tex-math>\r\n                <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:msub>\r\n                      <mml:mi>u</mml:mi>\r\n                      <mml:mn>0</mml:mn>\r\n                    </mml:msub>\r\n                    <mml:mo>∈</mml:mo>\r\n                    <mml:msup>\r\n                      <mml:mi>W</mml:mi>\r\n                      <mml:mrow>\r\n                        <mml:mn>1</mml:mn>\r\n                        <mml:mo>,</mml:mo>\r\n                        <mml:mi>p</mml:mi>\r\n                        <mml:mo>+</mml:mo>\r\n                        <mml:mn>2</mml:mn>\r\n                      </mml:mrow>\r\n                    </mml:msup>\r\n                    <mml:mrow>\r\n                      <mml:mo>(</mml:mo>\r\n                      <mml:mi>Ω</mml:mi>\r\n                      <mml:mo>)</mml:mo>\r\n                    </mml:mrow>\r\n                  </mml:mrow>\r\n                </mml:math>\r\n              </jats:alternatives>\r\n            </jats:inline-formula>, <jats:inline-formula>\r\n              <jats:alternatives>\r\n                <jats:tex-math>$$u_{0t}\\in W^{1,p}(\\Omega )$$</jats:tex-math>\r\n                <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:msub>\r\n                      <mml:mi>u</mml:mi>\r\n                      <mml:mrow>\r\n                        <mml:mn>0</mml:mn>\r\n                        <mml:mi>t</mml:mi>\r\n                      </mml:mrow>\r\n                    </mml:msub>\r\n                    <mml:mo>∈</mml:mo>\r\n                    <mml:msup>\r\n                      <mml:mi>W</mml:mi>\r\n                      <mml:mrow>\r\n                        <mml:mn>1</mml:mn>\r\n                        <mml:mo>,</mml:mo>\r\n                        <mml:mi>p</mml:mi>\r\n                      </mml:mrow>\r\n                    </mml:msup>\r\n                    <mml:mrow>\r\n                      <mml:mo>(</mml:mo>\r\n                      <mml:mi>Ω</mml:mi>\r\n                      <mml:mo>)</mml:mo>\r\n                    </mml:mrow>\r\n                  </mml:mrow>\r\n                </mml:math>\r\n              </jats:alternatives>\r\n            </jats:inline-formula> and <jats:inline-formula>\r\n              <jats:alternatives>\r\n                <jats:tex-math>$$\\Theta _0\\in W^{1,p}(\\Omega )$$</jats:tex-math>\r\n                <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:msub>\r\n                      <mml:mi>Θ</mml:mi>\r\n                      <mml:mn>0</mml:mn>\r\n                    </mml:msub>\r\n                    <mml:mo>∈</mml:mo>\r\n                    <mml:msup>\r\n                      <mml:mi>W</mml:mi>\r\n                      <mml:mrow>\r\n                        <mml:mn>1</mml:mn>\r\n                        <mml:mo>,</mml:mo>\r\n                        <mml:mi>p</mml:mi>\r\n                      </mml:mrow>\r\n                    </mml:msup>\r\n                    <mml:mrow>\r\n                      <mml:mo>(</mml:mo>\r\n                      <mml:mi>Ω</mml:mi>\r\n                      <mml:mo>)</mml:mo>\r\n                    </mml:mrow>\r\n                  </mml:mrow>\r\n                </mml:math>\r\n              </jats:alternatives>\r\n            </jats:inline-formula> with some <jats:inline-formula>\r\n              <jats:alternatives>\r\n                <jats:tex-math>$$p\\ge 2$$</jats:tex-math>\r\n                <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mi>p</mml:mi>\r\n                    <mml:mo>≥</mml:mo>\r\n                    <mml:mn>2</mml:mn>\r\n                  </mml:mrow>\r\n                </mml:math>\r\n              </jats:alternatives>\r\n            </jats:inline-formula> such that <jats:inline-formula>\r\n              <jats:alternatives>\r\n                <jats:tex-math>$$p&gt;n$$</jats:tex-math>\r\n                <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mi>p</mml:mi>\r\n                    <mml:mo>&gt;</mml:mo>\r\n                    <mml:mi>n</mml:mi>\r\n                  </mml:mrow>\r\n                </mml:math>\r\n              </jats:alternatives>\r\n            </jats:inline-formula>, a result on local-in-time existence and uniqueness is derived in a natural framework of weak solvability.</jats:p>","lang":"eng"}],"date_created":"2025-12-18T20:20:06Z","type":"journal_article","status":"public","_id":"63344","publisher":"Springer Science and Business Media LLC","user_id":"31496","volume":91,"citation":{"mla":"Winkler, Michael. “Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters.” <i>Applied Mathematics &#38;amp; Optimization</i>, vol. 91, no. 2, 44, Springer Science and Business Media LLC, 2025, doi:<a href=\"https://doi.org/10.1007/s00245-025-10243-9\">10.1007/s00245-025-10243-9</a>.","bibtex":"@article{Winkler_2025, title={Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters}, volume={91}, DOI={<a href=\"https://doi.org/10.1007/s00245-025-10243-9\">10.1007/s00245-025-10243-9</a>}, number={244}, journal={Applied Mathematics &#38;amp; Optimization}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2025} }","ama":"Winkler M. Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters. <i>Applied Mathematics &#38;amp; Optimization</i>. 2025;91(2). doi:<a href=\"https://doi.org/10.1007/s00245-025-10243-9\">10.1007/s00245-025-10243-9</a>","ieee":"M. Winkler, “Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters,” <i>Applied Mathematics &#38;amp; Optimization</i>, vol. 91, no. 2, Art. no. 44, 2025, doi: <a href=\"https://doi.org/10.1007/s00245-025-10243-9\">10.1007/s00245-025-10243-9</a>.","apa":"Winkler, M. (2025). Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters. <i>Applied Mathematics &#38;amp; Optimization</i>, <i>91</i>(2), Article 44. <a href=\"https://doi.org/10.1007/s00245-025-10243-9\">https://doi.org/10.1007/s00245-025-10243-9</a>","short":"M. Winkler, Applied Mathematics &#38;amp; Optimization 91 (2025).","chicago":"Winkler, Michael. “Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters.” <i>Applied Mathematics &#38;amp; Optimization</i> 91, no. 2 (2025). <a href=\"https://doi.org/10.1007/s00245-025-10243-9\">https://doi.org/10.1007/s00245-025-10243-9</a>."}},{"doi":"10.1007/s41808-025-00316-9","language":[{"iso":"eng"}],"intvolume":"        11","publication_status":"published","date_updated":"2025-12-18T20:16:49Z","publication_identifier":{"issn":["2296-9020","2296-9039"]},"author":[{"full_name":"Hanfland, Celina","first_name":"Celina","last_name":"Hanfland"},{"last_name":"Winkler","first_name":"Michael","full_name":"Winkler, Michael","id":"31496"}],"year":"2025","title":"Exactly wave-type homoclinic orbits and emergence of transient exponential growth in a super-fast diffusion equation","type":"journal_article","date_created":"2025-12-18T18:57:21Z","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title>\r\n                  <jats:p>\r\n                    For\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$p&gt;2$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mi>p</mml:mi>\r\n                            <mml:mo>&gt;</mml:mo>\r\n                            <mml:mn>2</mml:mn>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    , the equation\r\n                    <jats:disp-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$\\begin{aligned} u_t = u^p u_{xx}, \\qquad x\\in \\mathbb {R}, \\ t\\in \\mathbb {R}, \\end{aligned}$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mtable>\r\n                              <mml:mtr>\r\n                                <mml:mtd>\r\n                                  <mml:mrow>\r\n                                    <mml:msub>\r\n                                      <mml:mi>u</mml:mi>\r\n                                      <mml:mi>t</mml:mi>\r\n                                    </mml:msub>\r\n                                    <mml:mo>=</mml:mo>\r\n                                    <mml:msup>\r\n                                      <mml:mi>u</mml:mi>\r\n                                      <mml:mi>p</mml:mi>\r\n                                    </mml:msup>\r\n                                    <mml:msub>\r\n                                      <mml:mi>u</mml:mi>\r\n                                      <mml:mrow>\r\n                                        <mml:mi>xx</mml:mi>\r\n                                      </mml:mrow>\r\n                                    </mml:msub>\r\n                                    <mml:mo>,</mml:mo>\r\n                                    <mml:mspace/>\r\n                                    <mml:mi>x</mml:mi>\r\n                                    <mml:mo>∈</mml:mo>\r\n                                    <mml:mi>R</mml:mi>\r\n                                    <mml:mo>,</mml:mo>\r\n                                    <mml:mspace/>\r\n                                    <mml:mi>t</mml:mi>\r\n                                    <mml:mo>∈</mml:mo>\r\n                                    <mml:mi>R</mml:mi>\r\n                                    <mml:mo>,</mml:mo>\r\n                                  </mml:mrow>\r\n                                </mml:mtd>\r\n                              </mml:mtr>\r\n                            </mml:mtable>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:disp-formula>\r\n                    is shown to admit positive and spatially increasing smooth solutions on all of\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$\\mathbb {R}\\times \\mathbb {R}$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mi>R</mml:mi>\r\n                            <mml:mo>×</mml:mo>\r\n                            <mml:mi>R</mml:mi>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    which are precisely of the form of an accelerating wave for\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$t&lt;0$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mi>t</mml:mi>\r\n                            <mml:mo>&lt;</mml:mo>\r\n                            <mml:mn>0</mml:mn>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    , and of a wave slowing down for\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$t&gt;0$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mi>t</mml:mi>\r\n                            <mml:mo>&gt;</mml:mo>\r\n                            <mml:mn>0</mml:mn>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    . These solutions satisfy\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$u(\\cdot ,t)\\rightarrow 0$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mi>u</mml:mi>\r\n                            <mml:mo>(</mml:mo>\r\n                            <mml:mo>·</mml:mo>\r\n                            <mml:mo>,</mml:mo>\r\n                            <mml:mi>t</mml:mi>\r\n                            <mml:mo>)</mml:mo>\r\n                            <mml:mo>→</mml:mo>\r\n                            <mml:mn>0</mml:mn>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    in\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$L^\\infty _{loc}(\\mathbb {R})$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:msubsup>\r\n                              <mml:mi>L</mml:mi>\r\n                              <mml:mrow>\r\n                                <mml:mi>loc</mml:mi>\r\n                              </mml:mrow>\r\n                              <mml:mi>∞</mml:mi>\r\n                            </mml:msubsup>\r\n                            <mml:mrow>\r\n                              <mml:mo>(</mml:mo>\r\n                              <mml:mi>R</mml:mi>\r\n                              <mml:mo>)</mml:mo>\r\n                            </mml:mrow>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    as\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$t\\rightarrow + \\infty $$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mi>t</mml:mi>\r\n                            <mml:mo>→</mml:mo>\r\n                            <mml:mo>+</mml:mo>\r\n                            <mml:mi>∞</mml:mi>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    and as\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$t\\rightarrow -\\infty $$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mi>t</mml:mi>\r\n                            <mml:mo>→</mml:mo>\r\n                            <mml:mo>-</mml:mo>\r\n                            <mml:mi>∞</mml:mi>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    , and exhibit a yet apparently undiscovered phenomenon of transient rapid spatial growth, in the sense that\r\n                    <jats:disp-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$\\begin{aligned} \\lim _{x\\rightarrow +\\infty } x^{-1} u(x,t) \\quad \\text{ exists } \\text{ for } \\text{ all } t&lt;0, \\end{aligned}$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mtable>\r\n                              <mml:mtr>\r\n                                <mml:mtd>\r\n                                  <mml:mrow>\r\n                                    <mml:munder>\r\n                                      <mml:mo>lim</mml:mo>\r\n                                      <mml:mrow>\r\n                                        <mml:mi>x</mml:mi>\r\n                                        <mml:mo>→</mml:mo>\r\n                                        <mml:mo>+</mml:mo>\r\n                                        <mml:mi>∞</mml:mi>\r\n                                      </mml:mrow>\r\n                                    </mml:munder>\r\n                                    <mml:msup>\r\n                                      <mml:mi>x</mml:mi>\r\n                                      <mml:mrow>\r\n                                        <mml:mo>-</mml:mo>\r\n                                        <mml:mn>1</mml:mn>\r\n                                      </mml:mrow>\r\n                                    </mml:msup>\r\n                                    <mml:mi>u</mml:mi>\r\n                                    <mml:mrow>\r\n                                      <mml:mo>(</mml:mo>\r\n                                      <mml:mi>x</mml:mi>\r\n                                      <mml:mo>,</mml:mo>\r\n                                      <mml:mi>t</mml:mi>\r\n                                      <mml:mo>)</mml:mo>\r\n                                    </mml:mrow>\r\n                                    <mml:mspace/>\r\n                                    <mml:mspace/>\r\n                                    <mml:mtext>exists</mml:mtext>\r\n                                    <mml:mspace/>\r\n                                    <mml:mspace/>\r\n                                    <mml:mtext>for</mml:mtext>\r\n                                    <mml:mspace/>\r\n                                    <mml:mspace/>\r\n                                    <mml:mtext>all</mml:mtext>\r\n                                    <mml:mspace/>\r\n                                    <mml:mi>t</mml:mi>\r\n                                    <mml:mo>&lt;</mml:mo>\r\n                                    <mml:mn>0</mml:mn>\r\n                                    <mml:mo>,</mml:mo>\r\n                                  </mml:mrow>\r\n                                </mml:mtd>\r\n                              </mml:mtr>\r\n                            </mml:mtable>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:disp-formula>\r\n                    that\r\n                    <jats:disp-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$\\begin{aligned} \\lim _{x\\rightarrow +\\infty } x^{-\\frac{2}{p}} u(x,t) \\quad \\text{ exists } \\text{ for } \\text{ all } t&gt;0, \\end{aligned}$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mtable>\r\n                              <mml:mtr>\r\n                                <mml:mtd>\r\n                                  <mml:mrow>\r\n                                    <mml:munder>\r\n                                      <mml:mo>lim</mml:mo>\r\n                                      <mml:mrow>\r\n                                        <mml:mi>x</mml:mi>\r\n                                        <mml:mo>→</mml:mo>\r\n                                        <mml:mo>+</mml:mo>\r\n                                        <mml:mi>∞</mml:mi>\r\n                                      </mml:mrow>\r\n                                    </mml:munder>\r\n                                    <mml:msup>\r\n                                      <mml:mi>x</mml:mi>\r\n                                      <mml:mrow>\r\n                                        <mml:mo>-</mml:mo>\r\n                                        <mml:mfrac>\r\n                                          <mml:mn>2</mml:mn>\r\n                                          <mml:mi>p</mml:mi>\r\n                                        </mml:mfrac>\r\n                                      </mml:mrow>\r\n                                    </mml:msup>\r\n                                    <mml:mi>u</mml:mi>\r\n                                    <mml:mrow>\r\n                                      <mml:mo>(</mml:mo>\r\n                                      <mml:mi>x</mml:mi>\r\n                                      <mml:mo>,</mml:mo>\r\n                                      <mml:mi>t</mml:mi>\r\n                                      <mml:mo>)</mml:mo>\r\n                                    </mml:mrow>\r\n                                    <mml:mspace/>\r\n                                    <mml:mspace/>\r\n                                    <mml:mtext>exists</mml:mtext>\r\n                                    <mml:mspace/>\r\n                                    <mml:mspace/>\r\n                                    <mml:mtext>for</mml:mtext>\r\n                                    <mml:mspace/>\r\n                                    <mml:mspace/>\r\n                                    <mml:mtext>all</mml:mtext>\r\n                                    <mml:mspace/>\r\n                                    <mml:mi>t</mml:mi>\r\n                                    <mml:mo>&gt;</mml:mo>\r\n                                    <mml:mn>0</mml:mn>\r\n                                    <mml:mo>,</mml:mo>\r\n                                  </mml:mrow>\r\n                                </mml:mtd>\r\n                              </mml:mtr>\r\n                            </mml:mtable>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:disp-formula>\r\n                    but that\r\n                    <jats:disp-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$\\begin{aligned} u(x,0)=K e^{\\alpha x} \\qquad \\text{ for } \\text{ all } x\\in \\mathbb {R}\\end{aligned}$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mtable>\r\n                              <mml:mtr>\r\n                                <mml:mtd>\r\n                                  <mml:mrow>\r\n                                    <mml:mi>u</mml:mi>\r\n                                    <mml:mrow>\r\n                                      <mml:mo>(</mml:mo>\r\n                                      <mml:mi>x</mml:mi>\r\n                                      <mml:mo>,</mml:mo>\r\n                                      <mml:mn>0</mml:mn>\r\n                                      <mml:mo>)</mml:mo>\r\n                                    </mml:mrow>\r\n                                    <mml:mo>=</mml:mo>\r\n                                    <mml:mi>K</mml:mi>\r\n                                    <mml:msup>\r\n                                      <mml:mi>e</mml:mi>\r\n                                      <mml:mrow>\r\n                                        <mml:mi>α</mml:mi>\r\n                                        <mml:mi>x</mml:mi>\r\n                                      </mml:mrow>\r\n                                    </mml:msup>\r\n                                    <mml:mspace/>\r\n                                    <mml:mspace/>\r\n                                    <mml:mtext>for</mml:mtext>\r\n                                    <mml:mspace/>\r\n                                    <mml:mspace/>\r\n                                    <mml:mtext>all</mml:mtext>\r\n                                    <mml:mspace/>\r\n                                    <mml:mi>x</mml:mi>\r\n                                    <mml:mo>∈</mml:mo>\r\n                                    <mml:mi>R</mml:mi>\r\n                                  </mml:mrow>\r\n                                </mml:mtd>\r\n                              </mml:mtr>\r\n                            </mml:mtable>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:disp-formula>\r\n                    with some\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$K&gt;0$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mi>K</mml:mi>\r\n                            <mml:mo>&gt;</mml:mo>\r\n                            <mml:mn>0</mml:mn>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    and\r\n                    <jats:inline-formula>\r\n                      <jats:alternatives>\r\n                        <jats:tex-math>$$\\alpha &gt;0$$</jats:tex-math>\r\n                        <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                          <mml:mrow>\r\n                            <mml:mi>α</mml:mi>\r\n                            <mml:mo>&gt;</mml:mo>\r\n                            <mml:mn>0</mml:mn>\r\n                          </mml:mrow>\r\n                        </mml:math>\r\n                      </jats:alternatives>\r\n                    </jats:inline-formula>\r\n                    .\r\n                  </jats:p>"}],"issue":"3","publication":"Journal of Elliptic and Parabolic Equations","volume":11,"user_id":"31496","_id":"63242","publisher":"Springer Science and Business Media LLC","page":"2041-2063","status":"public","citation":{"ama":"Hanfland C, Winkler M. Exactly wave-type homoclinic orbits and emergence of transient exponential growth in a super-fast diffusion equation. <i>Journal of Elliptic and Parabolic Equations</i>. 2025;11(3):2041-2063. doi:<a href=\"https://doi.org/10.1007/s41808-025-00316-9\">10.1007/s41808-025-00316-9</a>","bibtex":"@article{Hanfland_Winkler_2025, title={Exactly wave-type homoclinic orbits and emergence of transient exponential growth in a super-fast diffusion equation}, volume={11}, DOI={<a href=\"https://doi.org/10.1007/s41808-025-00316-9\">10.1007/s41808-025-00316-9</a>}, number={3}, journal={Journal of Elliptic and Parabolic Equations}, publisher={Springer Science and Business Media LLC}, author={Hanfland, Celina and Winkler, Michael}, year={2025}, pages={2041–2063} }","mla":"Hanfland, Celina, and Michael Winkler. “Exactly Wave-Type Homoclinic Orbits and Emergence of Transient Exponential Growth in a Super-Fast Diffusion Equation.” <i>Journal of Elliptic and Parabolic Equations</i>, vol. 11, no. 3, Springer Science and Business Media LLC, 2025, pp. 2041–63, doi:<a href=\"https://doi.org/10.1007/s41808-025-00316-9\">10.1007/s41808-025-00316-9</a>.","short":"C. Hanfland, M. Winkler, Journal of Elliptic and Parabolic Equations 11 (2025) 2041–2063.","chicago":"Hanfland, Celina, and Michael Winkler. “Exactly Wave-Type Homoclinic Orbits and Emergence of Transient Exponential Growth in a Super-Fast Diffusion Equation.” <i>Journal of Elliptic and Parabolic Equations</i> 11, no. 3 (2025): 2041–63. <a href=\"https://doi.org/10.1007/s41808-025-00316-9\">https://doi.org/10.1007/s41808-025-00316-9</a>.","apa":"Hanfland, C., &#38; Winkler, M. (2025). Exactly wave-type homoclinic orbits and emergence of transient exponential growth in a super-fast diffusion equation. <i>Journal of Elliptic and Parabolic Equations</i>, <i>11</i>(3), 2041–2063. <a href=\"https://doi.org/10.1007/s41808-025-00316-9\">https://doi.org/10.1007/s41808-025-00316-9</a>","ieee":"C. Hanfland and M. Winkler, “Exactly wave-type homoclinic orbits and emergence of transient exponential growth in a super-fast diffusion equation,” <i>Journal of Elliptic and Parabolic Equations</i>, vol. 11, no. 3, pp. 2041–2063, 2025, doi: <a href=\"https://doi.org/10.1007/s41808-025-00316-9\">10.1007/s41808-025-00316-9</a>."}},{"citation":{"mla":"Winkler, Michael. “Effects of Degeneracies in Taxis-Driven Evolution.” <i>Mathematical Models and Methods in Applied Sciences</i>, vol. 35, no. 02, World Scientific Pub Co Pte Ltd, 2025, pp. 283–343, doi:<a href=\"https://doi.org/10.1142/s0218202525400020\">10.1142/s0218202525400020</a>.","bibtex":"@article{Winkler_2025, title={Effects of degeneracies in taxis-driven evolution}, volume={35}, DOI={<a href=\"https://doi.org/10.1142/s0218202525400020\">10.1142/s0218202525400020</a>}, number={02}, journal={Mathematical Models and Methods in Applied Sciences}, publisher={World Scientific Pub Co Pte Ltd}, author={Winkler, Michael}, year={2025}, pages={283–343} }","ama":"Winkler M. Effects of degeneracies in taxis-driven evolution. <i>Mathematical Models and Methods in Applied Sciences</i>. 2025;35(02):283-343. doi:<a href=\"https://doi.org/10.1142/s0218202525400020\">10.1142/s0218202525400020</a>","ieee":"M. Winkler, “Effects of degeneracies in taxis-driven evolution,” <i>Mathematical Models and Methods in Applied Sciences</i>, vol. 35, no. 02, pp. 283–343, 2025, doi: <a href=\"https://doi.org/10.1142/s0218202525400020\">10.1142/s0218202525400020</a>.","apa":"Winkler, M. (2025). Effects of degeneracies in taxis-driven evolution. <i>Mathematical Models and Methods in Applied Sciences</i>, <i>35</i>(02), 283–343. <a href=\"https://doi.org/10.1142/s0218202525400020\">https://doi.org/10.1142/s0218202525400020</a>","short":"M. Winkler, Mathematical Models and Methods in Applied Sciences 35 (2025) 283–343.","chicago":"Winkler, Michael. “Effects of Degeneracies in Taxis-Driven Evolution.” <i>Mathematical Models and Methods in Applied Sciences</i> 35, no. 02 (2025): 283–343. <a href=\"https://doi.org/10.1142/s0218202525400020\">https://doi.org/10.1142/s0218202525400020</a>."},"status":"public","user_id":"31496","volume":35,"page":"283-343","publisher":"World Scientific Pub Co Pte Ltd","_id":"63164","abstract":[{"lang":"eng","text":"<jats:p> Refined investigation of chemotaxis processes has revealed a significant role of degeneracies in corresponding motilities in a number of application contexts. A rapidly growing literature concerned with the analysis of resulting mathematical models has been capable of solving fundamental issues, but various problems have remained open, or even newly arisen. The goal of the paper consists in a summary of some developments in this area, and particularly in the discussion of the question how far the introduction of degeneracies may influence the behavior of solutions to chemotaxis systems. </jats:p>"}],"publication":"Mathematical Models and Methods in Applied Sciences","issue":"02","type":"journal_article","date_created":"2025-12-16T19:23:40Z","date_updated":"2025-12-18T20:16:23Z","publication_status":"published","intvolume":"        35","year":"2025","title":"Effects of degeneracies in taxis-driven evolution","publication_identifier":{"issn":["0218-2025","1793-6314"]},"author":[{"full_name":"Winkler, Michael","first_name":"Michael","last_name":"Winkler","id":"31496"}],"doi":"10.1142/s0218202525400020","language":[{"iso":"eng"}]},{"date_created":"2025-07-25T12:26:51Z","type":"conference","department":[{"_id":"52"}],"publication":"2025 IEEE International Electric Machines & Drives Conference (IEMDC)","citation":{"ieee":"D. Jakobeit, M. Peña López, M. Schenke, B. Haucke-Korber, and O. Wallscheid, “Structural Optimization of Meta-Reinforcement Learning-based Finite-Control-Set Direct Torque Control of Permanent Magnet Synchronous Motors,” 2025, doi: <a href=\"https://doi.org/10.1109/iemdc60492.2025.11061179\">10.1109/iemdc60492.2025.11061179</a>.","apa":"Jakobeit, D., Peña López, M., Schenke, M., Haucke-Korber, B., &#38; Wallscheid, O. (2025). Structural Optimization of Meta-Reinforcement Learning-based Finite-Control-Set Direct Torque Control of Permanent Magnet Synchronous Motors. <i>2025 IEEE International Electric Machines &#38; Drives Conference (IEMDC)</i>. <a href=\"https://doi.org/10.1109/iemdc60492.2025.11061179\">https://doi.org/10.1109/iemdc60492.2025.11061179</a>","short":"D. Jakobeit, M. Peña López, M. Schenke, B. Haucke-Korber, O. Wallscheid, in: 2025 IEEE International Electric Machines &#38; Drives Conference (IEMDC), IEEE, 2025.","chicago":"Jakobeit, Darius, Mario Peña López, Maximilian Schenke, Barnabas Haucke-Korber, and Oliver Wallscheid. “Structural Optimization of Meta-Reinforcement Learning-Based Finite-Control-Set Direct Torque Control of Permanent Magnet Synchronous Motors.” In <i>2025 IEEE International Electric Machines &#38; Drives Conference (IEMDC)</i>. IEEE, 2025. <a href=\"https://doi.org/10.1109/iemdc60492.2025.11061179\">https://doi.org/10.1109/iemdc60492.2025.11061179</a>.","mla":"Jakobeit, Darius, et al. “Structural Optimization of Meta-Reinforcement Learning-Based Finite-Control-Set Direct Torque Control of Permanent Magnet Synchronous Motors.” <i>2025 IEEE International Electric Machines &#38; Drives Conference (IEMDC)</i>, IEEE, 2025, doi:<a href=\"https://doi.org/10.1109/iemdc60492.2025.11061179\">10.1109/iemdc60492.2025.11061179</a>.","bibtex":"@inproceedings{Jakobeit_Peña López_Schenke_Haucke-Korber_Wallscheid_2025, title={Structural Optimization of Meta-Reinforcement Learning-based Finite-Control-Set Direct Torque Control of Permanent Magnet Synchronous Motors}, DOI={<a href=\"https://doi.org/10.1109/iemdc60492.2025.11061179\">10.1109/iemdc60492.2025.11061179</a>}, booktitle={2025 IEEE International Electric Machines &#38; Drives Conference (IEMDC)}, publisher={IEEE}, author={Jakobeit, Darius and Peña López, Mario and Schenke, Maximilian and Haucke-Korber, Barnabas and Wallscheid, Oliver}, year={2025} }","ama":"Jakobeit D, Peña López M, Schenke M, Haucke-Korber B, Wallscheid O. Structural Optimization of Meta-Reinforcement Learning-based Finite-Control-Set Direct Torque Control of Permanent Magnet Synchronous Motors. In: <i>2025 IEEE International Electric Machines &#38; Drives Conference (IEMDC)</i>. IEEE; 2025. doi:<a href=\"https://doi.org/10.1109/iemdc60492.2025.11061179\">10.1109/iemdc60492.2025.11061179</a>"},"language":[{"iso":"eng"}],"_id":"60746","publisher":"IEEE","doi":"10.1109/iemdc60492.2025.11061179","user_id":"93461","title":"Structural Optimization of Meta-Reinforcement Learning-based Finite-Control-Set Direct Torque Control of Permanent Magnet Synchronous Motors","year":"2025","status":"public","author":[{"first_name":"Darius","last_name":"Jakobeit","full_name":"Jakobeit, Darius"},{"full_name":"Peña López, Mario","last_name":"Peña López","first_name":"Mario","orcid":"0000-0001-5381-3660","id":"82862"},{"full_name":"Schenke, Maximilian","first_name":"Maximilian","orcid":"0000-0001-5427-9527","last_name":"Schenke","id":"52638"},{"id":"93461","last_name":"Haucke-Korber","first_name":"Barnabas","orcid":"0000-0003-0862-2069","full_name":"Haucke-Korber, Barnabas"},{"orcid":"https://orcid.org/0000-0001-9362-8777","last_name":"Wallscheid","first_name":"Oliver","full_name":"Wallscheid, Oliver","id":"11291"}],"date_updated":"2025-12-19T12:42:54Z","publication_status":"published"},{"publisher":"IEEE","_id":"60745","language":[{"iso":"eng"}],"user_id":"93461","doi":"10.1109/iemdc60492.2025.11061093","author":[{"first_name":"Barnabas","last_name":"Haucke-Korber","orcid":"0000-0003-0862-2069","full_name":"Haucke-Korber, Barnabas","id":"93461"},{"full_name":"Aung, Nyi Nyi","last_name":"Aung","first_name":"Nyi Nyi"},{"id":"52638","full_name":"Schenke, Maximilian","first_name":"Maximilian","last_name":"Schenke","orcid":"0000-0001-5427-9527"},{"id":"82862","full_name":"Peña López, Mario","orcid":"0000-0001-5381-3660","last_name":"Peña López","first_name":"Mario"},{"last_name":"Jakobeit","first_name":"Darius","full_name":"Jakobeit, Darius"},{"id":"11291","full_name":"Wallscheid, Oliver","orcid":"https://orcid.org/0000-0001-9362-8777","first_name":"Oliver","last_name":"Wallscheid"}],"status":"public","title":"Reinforcement Learning-based Direct Torque Control of Externally Excited Synchronous Motors: a Proof of Concept","year":"2025","publication_status":"published","date_updated":"2025-12-19T12:43:17Z","date_created":"2025-07-25T12:26:35Z","department":[{"_id":"52"}],"type":"conference","citation":{"chicago":"Haucke-Korber, Barnabas, Nyi Nyi Aung, Maximilian Schenke, Mario Peña López, Darius Jakobeit, and Oliver Wallscheid. “Reinforcement Learning-Based Direct Torque Control of Externally Excited Synchronous Motors: A Proof of Concept.” In <i>2025 IEEE International Electric Machines &#38; Drives Conference (IEMDC)</i>. IEEE, 2025. <a href=\"https://doi.org/10.1109/iemdc60492.2025.11061093\">https://doi.org/10.1109/iemdc60492.2025.11061093</a>.","short":"B. Haucke-Korber, N.N. Aung, M. Schenke, M. Peña López, D. Jakobeit, O. Wallscheid, in: 2025 IEEE International Electric Machines &#38; Drives Conference (IEMDC), IEEE, 2025.","apa":"Haucke-Korber, B., Aung, N. N., Schenke, M., Peña López, M., Jakobeit, D., &#38; Wallscheid, O. (2025). Reinforcement Learning-based Direct Torque Control of Externally Excited Synchronous Motors: a Proof of Concept. <i>2025 IEEE International Electric Machines &#38; Drives Conference (IEMDC)</i>. <a href=\"https://doi.org/10.1109/iemdc60492.2025.11061093\">https://doi.org/10.1109/iemdc60492.2025.11061093</a>","ieee":"B. Haucke-Korber, N. N. Aung, M. Schenke, M. Peña López, D. Jakobeit, and O. Wallscheid, “Reinforcement Learning-based Direct Torque Control of Externally Excited Synchronous Motors: a Proof of Concept,” 2025, doi: <a href=\"https://doi.org/10.1109/iemdc60492.2025.11061093\">10.1109/iemdc60492.2025.11061093</a>.","ama":"Haucke-Korber B, Aung NN, Schenke M, Peña López M, Jakobeit D, Wallscheid O. Reinforcement Learning-based Direct Torque Control of Externally Excited Synchronous Motors: a Proof of Concept. In: <i>2025 IEEE International Electric Machines &#38; Drives Conference (IEMDC)</i>. IEEE; 2025. doi:<a href=\"https://doi.org/10.1109/iemdc60492.2025.11061093\">10.1109/iemdc60492.2025.11061093</a>","bibtex":"@inproceedings{Haucke-Korber_Aung_Schenke_Peña López_Jakobeit_Wallscheid_2025, title={Reinforcement Learning-based Direct Torque Control of Externally Excited Synchronous Motors: a Proof of Concept}, DOI={<a href=\"https://doi.org/10.1109/iemdc60492.2025.11061093\">10.1109/iemdc60492.2025.11061093</a>}, booktitle={2025 IEEE International Electric Machines &#38; Drives Conference (IEMDC)}, publisher={IEEE}, author={Haucke-Korber, Barnabas and Aung, Nyi Nyi and Schenke, Maximilian and Peña López, Mario and Jakobeit, Darius and Wallscheid, Oliver}, year={2025} }","mla":"Haucke-Korber, Barnabas, et al. “Reinforcement Learning-Based Direct Torque Control of Externally Excited Synchronous Motors: A Proof of Concept.” <i>2025 IEEE International Electric Machines &#38; Drives Conference (IEMDC)</i>, IEEE, 2025, doi:<a href=\"https://doi.org/10.1109/iemdc60492.2025.11061093\">10.1109/iemdc60492.2025.11061093</a>."},"publication":"2025 IEEE International Electric Machines & Drives Conference (IEMDC)"},{"doi":"10.1109/iemdc60492.2025.11061032","user_id":"93461","_id":"60744","publisher":"IEEE","language":[{"iso":"eng"}],"date_updated":"2025-12-19T12:43:37Z","publication_status":"published","author":[{"id":"82862","last_name":"Peña López","orcid":"0000-0001-5381-3660","first_name":"Mario","full_name":"Peña López, Mario"},{"full_name":"Schenke, Maximilian","first_name":"Maximilian","last_name":"Schenke","orcid":"0000-0001-5427-9527","id":"52638"},{"full_name":"Jakobeit, Darius","first_name":"Darius","last_name":"Jakobeit"},{"full_name":"Haucke-Korber, Barnabas","orcid":"0000-0003-0862-2069","first_name":"Barnabas","last_name":"Haucke-Korber","id":"93461"},{"id":"11291","full_name":"Wallscheid, Oliver","first_name":"Oliver","orcid":"https://orcid.org/0000-0001-9362-8777","last_name":"Wallscheid"}],"status":"public","year":"2025","title":"Reinforcement Learning Control of Three-Level Converter Permanent Magnet Synchronous Machine Drives","department":[{"_id":"52"}],"type":"conference","date_created":"2025-07-25T12:26:05Z","citation":{"mla":"Peña López, Mario, et al. “Reinforcement Learning Control of Three-Level Converter Permanent Magnet Synchronous Machine Drives.” <i>2025 IEEE International Electric Machines &#38; Drives Conference (IEMDC)</i>, IEEE, 2025, doi:<a href=\"https://doi.org/10.1109/iemdc60492.2025.11061032\">10.1109/iemdc60492.2025.11061032</a>.","bibtex":"@inproceedings{Peña López_Schenke_Jakobeit_Haucke-Korber_Wallscheid_2025, title={Reinforcement Learning Control of Three-Level Converter Permanent Magnet Synchronous Machine Drives}, DOI={<a href=\"https://doi.org/10.1109/iemdc60492.2025.11061032\">10.1109/iemdc60492.2025.11061032</a>}, booktitle={2025 IEEE International Electric Machines &#38; Drives Conference (IEMDC)}, publisher={IEEE}, author={Peña López, Mario and Schenke, Maximilian and Jakobeit, Darius and Haucke-Korber, Barnabas and Wallscheid, Oliver}, year={2025} }","ama":"Peña López M, Schenke M, Jakobeit D, Haucke-Korber B, Wallscheid O. Reinforcement Learning Control of Three-Level Converter Permanent Magnet Synchronous Machine Drives. In: <i>2025 IEEE International Electric Machines &#38; Drives Conference (IEMDC)</i>. IEEE; 2025. doi:<a href=\"https://doi.org/10.1109/iemdc60492.2025.11061032\">10.1109/iemdc60492.2025.11061032</a>","ieee":"M. Peña López, M. Schenke, D. Jakobeit, B. Haucke-Korber, and O. Wallscheid, “Reinforcement Learning Control of Three-Level Converter Permanent Magnet Synchronous Machine Drives,” 2025, doi: <a href=\"https://doi.org/10.1109/iemdc60492.2025.11061032\">10.1109/iemdc60492.2025.11061032</a>.","apa":"Peña López, M., Schenke, M., Jakobeit, D., Haucke-Korber, B., &#38; Wallscheid, O. (2025). Reinforcement Learning Control of Three-Level Converter Permanent Magnet Synchronous Machine Drives. <i>2025 IEEE International Electric Machines &#38; Drives Conference (IEMDC)</i>. <a href=\"https://doi.org/10.1109/iemdc60492.2025.11061032\">https://doi.org/10.1109/iemdc60492.2025.11061032</a>","short":"M. Peña López, M. Schenke, D. Jakobeit, B. Haucke-Korber, O. Wallscheid, in: 2025 IEEE International Electric Machines &#38; Drives Conference (IEMDC), IEEE, 2025.","chicago":"Peña López, Mario, Maximilian Schenke, Darius Jakobeit, Barnabas Haucke-Korber, and Oliver Wallscheid. “Reinforcement Learning Control of Three-Level Converter Permanent Magnet Synchronous Machine Drives.” In <i>2025 IEEE International Electric Machines &#38; Drives Conference (IEMDC)</i>. IEEE, 2025. <a href=\"https://doi.org/10.1109/iemdc60492.2025.11061032\">https://doi.org/10.1109/iemdc60492.2025.11061032</a>."},"publication":"2025 IEEE International Electric Machines & Drives Conference (IEMDC)"},{"abstract":[{"lang":"eng","text":"Two fundamental ways to represent a group are as permutations and as matrices. In this paper, we study linear representations of groups that intertwine with a permutation representation. Recently, D'Alconzo and Di Scala investigated how small the matrices in such a linear representation can be. The minimal dimension of such a representation is the \\emph{linear dimension of the group action} and this has applications in cryptography and cryptosystems.\r\n\r\nWe develop the idea of linear dimension from an algebraic point of view by using the theory of permutation modules. We give structural results about representations of minimal dimension and investigate the implications of faithfulness, transitivity and primitivity on the linear dimension. Furthermore, we compute the linear dimension of several classes of finite primitive permutation groups. We also study wreath products, allowing us to determine the linear dimension of imprimitive group actions. Finally, we give the linear dimension of almost simple finite $2$-transitive groups, some of which may be used for further applications in cryptography. Our results also open up many new questions about linear representations of group actions."}],"citation":{"bibtex":"@article{Devillers_Giudici_Hawtin_Klawuhn_Morgan_2025, title={Linear dimension of group actions}, author={Devillers, Alice and Giudici, Michael and Hawtin, Daniel R. and Klawuhn, Lukas-André Dominik and Morgan, Luke}, year={2025} }","ama":"Devillers A, Giudici M, Hawtin DR, Klawuhn L-AD, Morgan L. Linear dimension of group actions. Published online 2025.","mla":"Devillers, Alice, et al. <i>Linear Dimension of Group Actions</i>. 2025.","chicago":"Devillers, Alice, Michael Giudici, Daniel R. Hawtin, Lukas-André Dominik Klawuhn, and Luke Morgan. “Linear Dimension of Group Actions,” 2025.","short":"A. Devillers, M. Giudici, D.R. Hawtin, L.-A.D. Klawuhn, L. Morgan, (2025).","ieee":"A. Devillers, M. Giudici, D. R. Hawtin, L.-A. D. Klawuhn, and L. Morgan, “Linear dimension of group actions.” 2025.","apa":"Devillers, A., Giudici, M., Hawtin, D. R., Klawuhn, L.-A. D., &#38; Morgan, L. (2025). <i>Linear dimension of group actions</i>."},"department":[{"_id":"100"}],"type":"preprint","date_created":"2025-12-19T11:20:46Z","external_id":{"arxiv":["2512.16079"]},"date_updated":"2025-12-19T11:23:41Z","author":[{"first_name":"Alice","last_name":"Devillers","full_name":"Devillers, Alice"},{"first_name":"Michael","last_name":"Giudici","full_name":"Giudici, Michael"},{"last_name":"Hawtin","first_name":"Daniel R.","full_name":"Hawtin, Daniel R."},{"id":"91965","full_name":"Klawuhn, Lukas-André Dominik","first_name":"Lukas-André Dominik","orcid":"0009-0009-7736-4885","last_name":"Klawuhn"},{"full_name":"Morgan, Luke","first_name":"Luke","last_name":"Morgan"}],"title":"Linear dimension of group actions","year":"2025","status":"public","user_id":"91965","language":[{"iso":"eng"}],"_id":"63384"},{"doi":"10.3224/fug.v5i2.02","language":[{"iso":"ger"}],"publication_status":"published","date_updated":"2025-12-19T15:53:01Z","article_type":"original","intvolume":"         5","title":"Protest gegen Kommerzialisierung im Fußball: Theoretische Überlegungen zu Entstehung, Strukturen und Nutzen","year":"2025","publication_identifier":{"issn":["2568-0420","2568-0439"]},"author":[{"id":"31513","last_name":"Riedl","first_name":"Lars","full_name":"Riedl, Lars"},{"first_name":"Heiko","last_name":"Meier","full_name":"Meier, Heiko","id":"21765"}],"type":"journal_article","department":[{"_id":"175"}],"date_created":"2025-12-04T15:57:56Z","abstract":[{"lang":"eng","text":"<jats:p>Ausgangspunkt des Beitrags sind die wiederkehrenden Zuschauerproteste gegen die Kommerzialisierung des Fußballs und die Frage nach einer Erklärung für deren Entstehung. Gezeigt wird, dass Zuschauerproteste bereits umfassend beforscht sind, bislang allerdings keine theoretische Einordung zu ihrer Entwicklung vorgelegt wurde. Entsprechend liegt das Ziel des Beitrags darin, unter Rückgriff auf systemtheoretische Überlegungen, insbesondere auch zur Funktion des Publikums für den Fußball, und typologische Unterscheidungen, angereichert durch kulturanthropologische Betrachtungen, theoretische Erklärungen für die Ursprünge und Bedeutung von Zuschauerprotesten zu liefern. Im Anschluss hieran wird betrachtet, wie sich Zuschauerproteste in theoretische Konzepte zu Protestbewegungen einordnen lassen, um abschließend deren Nutzen für die Fußballclubs und -verbände zu bestimmen.</jats:p>"}],"publication":"FuG – Zeitschrift für Fußball und Gesellschaft","issue":"2-2023","user_id":"21765","volume":5,"page":"97 - 119","_id":"62906","publisher":"Verlag Barbara Budrich GmbH","status":"public","quality_controlled":"1","citation":{"short":"L. Riedl, H. Meier, FuG – Zeitschrift für Fußball und Gesellschaft 5 (2025) 97–119.","chicago":"Riedl, Lars, and Heiko Meier. “Protest gegen Kommerzialisierung im Fußball: Theoretische Überlegungen zu Entstehung, Strukturen und Nutzen.” <i>FuG – Zeitschrift für Fußball und Gesellschaft</i> 5, no. 2–2023 (2025): 97–119. <a href=\"https://doi.org/10.3224/fug.v5i2.02\">https://doi.org/10.3224/fug.v5i2.02</a>.","apa":"Riedl, L., &#38; Meier, H. (2025). Protest gegen Kommerzialisierung im Fußball: Theoretische Überlegungen zu Entstehung, Strukturen und Nutzen. <i>FuG – Zeitschrift für Fußball und Gesellschaft</i>, <i>5</i>(2–2023), 97–119. <a href=\"https://doi.org/10.3224/fug.v5i2.02\">https://doi.org/10.3224/fug.v5i2.02</a>","ieee":"L. Riedl and H. Meier, “Protest gegen Kommerzialisierung im Fußball: Theoretische Überlegungen zu Entstehung, Strukturen und Nutzen,” <i>FuG – Zeitschrift für Fußball und Gesellschaft</i>, vol. 5, no. 2–2023, pp. 97–119, 2025, doi: <a href=\"https://doi.org/10.3224/fug.v5i2.02\">10.3224/fug.v5i2.02</a>.","ama":"Riedl L, Meier H. Protest gegen Kommerzialisierung im Fußball: Theoretische Überlegungen zu Entstehung, Strukturen und Nutzen. <i>FuG – Zeitschrift für Fußball und Gesellschaft</i>. 2025;5(2-2023):97-119. doi:<a href=\"https://doi.org/10.3224/fug.v5i2.02\">10.3224/fug.v5i2.02</a>","bibtex":"@article{Riedl_Meier_2025, title={Protest gegen Kommerzialisierung im Fußball: Theoretische Überlegungen zu Entstehung, Strukturen und Nutzen}, volume={5}, DOI={<a href=\"https://doi.org/10.3224/fug.v5i2.02\">10.3224/fug.v5i2.02</a>}, number={2–2023}, journal={FuG – Zeitschrift für Fußball und Gesellschaft}, publisher={Verlag Barbara Budrich GmbH}, author={Riedl, Lars and Meier, Heiko}, year={2025}, pages={97–119} }","mla":"Riedl, Lars, and Heiko Meier. “Protest gegen Kommerzialisierung im Fußball: Theoretische Überlegungen zu Entstehung, Strukturen und Nutzen.” <i>FuG – Zeitschrift für Fußball und Gesellschaft</i>, vol. 5, no. 2–2023, Verlag Barbara Budrich GmbH, 2025, pp. 97–119, doi:<a href=\"https://doi.org/10.3224/fug.v5i2.02\">10.3224/fug.v5i2.02</a>."}},{"volume":9,"user_id":"7888","_id":"63347","publisher":"MDPI AG","status":"public","quality_controlled":"1","citation":{"ama":"Wiens E, Hijazi D, Jüttner M, Homberg W, Kensy MD, Tillmann W. In Situ Investigation of the Frictional Behaviour in Friction-Spinning. <i>Journal of Manufacturing and Materials Processing</i>. 2025;9(9). doi:<a href=\"https://doi.org/10.3390/jmmp9090302\">10.3390/jmmp9090302</a>","bibtex":"@article{Wiens_Hijazi_Jüttner_Homberg_Kensy_Tillmann_2025, title={In Situ Investigation of the Frictional Behaviour in Friction-Spinning}, volume={9}, DOI={<a href=\"https://doi.org/10.3390/jmmp9090302\">10.3390/jmmp9090302</a>}, number={9302}, journal={Journal of Manufacturing and Materials Processing}, publisher={MDPI AG}, author={Wiens, Eugen and Hijazi, Dina and Jüttner, Maik and Homberg, Werner and Kensy, Mark Dennis and Tillmann, Wolfgang}, year={2025} }","mla":"Wiens, Eugen, et al. “In Situ Investigation of the Frictional Behaviour in Friction-Spinning.” <i>Journal of Manufacturing and Materials Processing</i>, vol. 9, no. 9, 302, MDPI AG, 2025, doi:<a href=\"https://doi.org/10.3390/jmmp9090302\">10.3390/jmmp9090302</a>.","chicago":"Wiens, Eugen, Dina Hijazi, Maik Jüttner, Werner Homberg, Mark Dennis Kensy, and Wolfgang Tillmann. “In Situ Investigation of the Frictional Behaviour in Friction-Spinning.” <i>Journal of Manufacturing and Materials Processing</i> 9, no. 9 (2025). <a href=\"https://doi.org/10.3390/jmmp9090302\">https://doi.org/10.3390/jmmp9090302</a>.","short":"E. Wiens, D. Hijazi, M. Jüttner, W. Homberg, M.D. Kensy, W. Tillmann, Journal of Manufacturing and Materials Processing 9 (2025).","apa":"Wiens, E., Hijazi, D., Jüttner, M., Homberg, W., Kensy, M. D., &#38; Tillmann, W. (2025). In Situ Investigation of the Frictional Behaviour in Friction-Spinning. <i>Journal of Manufacturing and Materials Processing</i>, <i>9</i>(9), Article 302. <a href=\"https://doi.org/10.3390/jmmp9090302\">https://doi.org/10.3390/jmmp9090302</a>","ieee":"E. Wiens, D. Hijazi, M. Jüttner, W. Homberg, M. D. Kensy, and W. Tillmann, “In Situ Investigation of the Frictional Behaviour in Friction-Spinning,” <i>Journal of Manufacturing and Materials Processing</i>, vol. 9, no. 9, Art. no. 302, 2025, doi: <a href=\"https://doi.org/10.3390/jmmp9090302\">10.3390/jmmp9090302</a>."},"doi":"10.3390/jmmp9090302","language":[{"iso":"eng"}],"article_number":"302","intvolume":"         9","publication_status":"published","date_updated":"2025-12-22T10:39:34Z","publication_identifier":{"issn":["2504-4494"]},"author":[{"id":"7888","last_name":"Wiens","first_name":"Eugen","full_name":"Wiens, Eugen"},{"full_name":"Hijazi, Dina","last_name":"Hijazi","first_name":"Dina"},{"first_name":"Maik","last_name":"Jüttner","full_name":"Jüttner, Maik"},{"id":"233","full_name":"Homberg, Werner","last_name":"Homberg","first_name":"Werner"},{"full_name":"Kensy, Mark Dennis","first_name":"Mark Dennis","last_name":"Kensy"},{"last_name":"Tillmann","first_name":"Wolfgang","full_name":"Tillmann, Wolfgang"}],"year":"2025","title":"In Situ Investigation of the Frictional Behaviour in Friction-Spinning","department":[{"_id":"156"}],"type":"journal_article","date_created":"2025-12-19T10:05:03Z","abstract":[{"text":"<jats:p>Friction-spinning is an incremental thermomechanical forming process that has huge potential due to its simple yet effective mechanism of utilising friction between a rotating workpiece and a forming tool to increase the workpiece’s temperature, which reduces the required forces and increases formability during the forming process. Despite the simplicity of the process’s setup, the thermomechanical loads and high relative velocities involved, especially in the contact zone, make the application of classical methods for characterising friction inaccurate. It is therefore essential to find a way to describe the frictional behaviour under real process conditions to be able to gain a holistic understanding of the process and the effect of the adjustable parameters on the outcome, especially the temperature. To achieve this goal, an experimental setup that considers the actual process boundary conditions in forming tubes made of EN AW-6060 was used to measure in situ normal and frictional forces, in addition to process temperatures, under varying rotational speed and feed rate values.</jats:p>","lang":"eng"}],"publication":"Journal of Manufacturing and Materials Processing","issue":"9"},{"date_created":"2025-12-22T08:37:02Z","external_id":{"arxiv":["2511.09191"]},"department":[{"_id":"94"}],"type":"preprint","citation":{"short":"S.-S. Byun, J. Jalowy, Y.-W. Lee, G. Schehr, ArXiv:2511.09191 (2025).","chicago":"Byun, Sung-Soo, Jonas Jalowy, Yong-Woo Lee, and Grégory Schehr. “Moderate-to-Large Deviation Asymptotics for Real Eigenvalues of the Elliptic Ginibre Matrices.” <i>ArXiv:2511.09191</i>, 2025.","apa":"Byun, S.-S., Jalowy, J., Lee, Y.-W., &#38; Schehr, G. (2025). Moderate-to-large deviation asymptotics for real eigenvalues of the elliptic Ginibre matrices. In <i>arXiv:2511.09191</i>.","ieee":"S.-S. Byun, J. Jalowy, Y.-W. Lee, and G. Schehr, “Moderate-to-large deviation asymptotics for real eigenvalues of the elliptic Ginibre matrices,” <i>arXiv:2511.09191</i>. 2025.","ama":"Byun S-S, Jalowy J, Lee Y-W, Schehr G. Moderate-to-large deviation asymptotics for real eigenvalues of the elliptic Ginibre matrices. <i>arXiv:251109191</i>. Published online 2025.","bibtex":"@article{Byun_Jalowy_Lee_Schehr_2025, title={Moderate-to-large deviation asymptotics for real eigenvalues of the elliptic Ginibre matrices}, journal={arXiv:2511.09191}, author={Byun, Sung-Soo and Jalowy, Jonas and Lee, Yong-Woo and Schehr, Grégory}, year={2025} }","mla":"Byun, Sung-Soo, et al. “Moderate-to-Large Deviation Asymptotics for Real Eigenvalues of the Elliptic Ginibre Matrices.” <i>ArXiv:2511.09191</i>, 2025."},"publication":"arXiv:2511.09191","abstract":[{"text":"We study the statistics of the number of real eigenvalues in the elliptic deformation of the real Ginibre ensemble. As the matrix dimension grows, the law of large numbers and the central limit theorem for the number of real eigenvalues are well understood, but the probabilities of rare events remain largely unexplored. Large deviation type results have been obtained only in extreme cases, when either a vanishingly small proportion of eigenvalues are real or almost all eigenvalues are real. Here, in both the strong and weak asymmetry regimes, we derive the probabilities of rare events in the moderate-to-large deviation regime, thereby providing a natural connection between the previously known regime of Gaussian fluctuations and the large deviation regime. Our results are new even for the classical real Ginibre ensemble.","lang":"eng"}],"_id":"63394","language":[{"iso":"eng"}],"user_id":"113768","author":[{"full_name":"Byun, Sung-Soo","first_name":"Sung-Soo","last_name":"Byun"},{"id":"113768","full_name":"Jalowy, Jonas","orcid":"0000-0001-9624-2685","first_name":"Jonas","last_name":"Jalowy"},{"first_name":"Yong-Woo","last_name":"Lee","full_name":"Lee, Yong-Woo"},{"last_name":"Schehr","first_name":"Grégory","full_name":"Schehr, Grégory"}],"status":"public","year":"2025","title":"Moderate-to-large deviation asymptotics for real eigenvalues of the elliptic Ginibre matrices","date_updated":"2025-12-22T08:37:35Z"}]
