[{"year":"2025","quality_controlled":"1","issue":"7","title":"The Frequency‐Domain Lattice Boltzmann Method (FreqD‐LBM): A Versatile Tool to Predict the QCM Response Induced by Structured Samples","publisher":"Wiley","date_created":"2025-12-18T16:57:22Z","abstract":[{"lang":"eng","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>"}],"publication":"Advanced Theory and Simulations","language":[{"iso":"eng"}],"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>","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>.","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>.","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>","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} }","short":"D. Johannsmann, P. Häusner, A. Langhoff, C. Leppin, I. Reviakine, V. Vanoppen, Advanced Theory and Simulations 8 (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>."},"intvolume":"         8","publication_status":"published","publication_identifier":{"issn":["2513-0390","2513-0390"]},"doi":"10.1002/adts.202401373","date_updated":"2025-12-18T17:46:34Z","author":[{"first_name":"Diethelm","last_name":"Johannsmann","full_name":"Johannsmann, Diethelm"},{"full_name":"Häusner, Paul","last_name":"Häusner","first_name":"Paul"},{"first_name":"Arne","full_name":"Langhoff, Arne","last_name":"Langhoff"},{"first_name":"Christian","last_name":"Leppin","full_name":"Leppin, Christian","id":"117722"},{"first_name":"Ilya","last_name":"Reviakine","full_name":"Reviakine, Ilya"},{"last_name":"Vanoppen","full_name":"Vanoppen, Viktor","first_name":"Viktor"}],"volume":8,"status":"public","type":"journal_article","article_type":"original","article_number":"2401373","_id":"63223","user_id":"117722"},{"title":"Comparing the SEI Formation on Copper and Amorphous Carbon: A Study with Combined Operando Methods","doi":"10.3390/batteries11070273","publisher":"MDPI AG","date_updated":"2025-12-18T17:47:08Z","volume":11,"date_created":"2025-12-18T16:56:12Z","author":[{"first_name":"Michael","full_name":"Stich, Michael","last_name":"Stich"},{"id":"117722","full_name":"Leppin, Christian","last_name":"Leppin","first_name":"Christian"},{"first_name":"Falk Thorsten","last_name":"Krauss","full_name":"Krauss, Falk Thorsten"},{"last_name":"Valdes Landa","full_name":"Valdes Landa, Jesus Eduardo","first_name":"Jesus Eduardo"},{"last_name":"Pantenburg","full_name":"Pantenburg, Isabel","first_name":"Isabel"},{"first_name":"Bernhard","last_name":"Roling","full_name":"Roling, Bernhard"},{"last_name":"Bund","full_name":"Bund, Andreas","first_name":"Andreas"}],"year":"2025","intvolume":"        11","citation":{"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>.","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>.","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>.","short":"M. Stich, C. Leppin, F.T. Krauss, J.E. Valdes Landa, I. Pantenburg, B. Roling, A. Bund, Batteries 11 (2025).","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} }","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>"},"publication_identifier":{"issn":["2313-0105"]},"quality_controlled":"1","publication_status":"published","issue":"7","article_type":"original","article_number":"273","extern":"1","language":[{"iso":"eng"}],"_id":"63222","user_id":"117722","abstract":[{"lang":"eng","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>"}],"status":"public","publication":"Batteries","type":"journal_article"},{"title":"Rapid Solidification of Plant Latices from Campanula glomerata Driven by a Sudden Decrease in Hydrostatic Pressure","publisher":"MDPI AG","date_created":"2025-12-18T16:58:15Z","year":"2025","issue":"5","language":[{"iso":"eng"}],"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>"}],"publication":"Plants","doi":"10.3390/plants14050798","date_updated":"2025-12-18T17:41:57Z","volume":14,"author":[{"first_name":"Arne","full_name":"Langhoff, Arne","last_name":"Langhoff"},{"full_name":"Peschel, Astrid","last_name":"Peschel","first_name":"Astrid"},{"first_name":"Christian","last_name":"Leppin","full_name":"Leppin, Christian","id":"117722"},{"full_name":"Kruppert, Sebastian","last_name":"Kruppert","first_name":"Sebastian"},{"first_name":"Thomas","full_name":"Speck, Thomas","last_name":"Speck"},{"full_name":"Johannsmann, Diethelm","last_name":"Johannsmann","first_name":"Diethelm"}],"intvolume":"        14","citation":{"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>.","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>.","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>","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>","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} }","short":"A. Langhoff, A. Peschel, C. Leppin, S. Kruppert, T. Speck, D. Johannsmann, Plants 14 (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>."},"publication_identifier":{"issn":["2223-7747"]},"publication_status":"published","article_type":"original","article_number":"798","extern":"1","_id":"63224","user_id":"117722","status":"public","type":"journal_article"},{"user_id":"117722","_id":"63225","extern":"1","article_type":"original","type":"journal_article","status":"public","volume":26,"author":[{"first_name":"Christian","id":"117722","full_name":"Leppin, Christian","last_name":"Leppin"},{"last_name":"Pomorska","full_name":"Pomorska, Agata","first_name":"Agata"},{"first_name":"Maria","full_name":"Morga, Maria","last_name":"Morga"},{"last_name":"Pomastowski","full_name":"Pomastowski, Pawel","first_name":"Pawel"},{"first_name":"Piotr","full_name":"Fijałkowski, Piotr","last_name":"Fijałkowski"},{"last_name":"Michna","full_name":"Michna, Aneta","first_name":"Aneta"},{"first_name":"Diethelm","last_name":"Johannsmann","full_name":"Johannsmann, Diethelm"}],"date_updated":"2025-12-18T17:44:44Z","doi":"10.1021/acs.biomac.4c01205","publication_identifier":{"issn":["1525-7797","1526-4602"]},"publication_status":"published","intvolume":"        26","page":"914-928","citation":{"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>","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>.","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>.","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>","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>.","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} }","short":"C. Leppin, A. Pomorska, M. Morga, P. Pomastowski, P. Fijałkowski, A. Michna, D. Johannsmann, Biomacromolecules 26 (2025) 914–928."},"language":[{"iso":"eng"}],"publication":"Biomacromolecules","abstract":[{"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.","lang":"eng"}],"date_created":"2025-12-18T16:59:12Z","publisher":"American Chemical Society (ACS)","title":"Swelling Degree of Polyelectrolyte Layers Determined by an Electrochemical Quartz Crystal Microbalance","issue":"2","year":"2025"},{"doi":"10.1039/d5cp02691a","title":"A fast electrochemical quartz crystal microbalance (EQCM) evidences the presence of nanobubbles in alkaline water splitting","author":[{"id":"117722","full_name":"Leppin, Christian","last_name":"Leppin","first_name":"Christian"},{"last_name":"Langhoff","full_name":"Langhoff, Arne","first_name":"Arne"},{"first_name":"Diethelm","last_name":"Johannsmann","full_name":"Johannsmann, Diethelm"}],"date_created":"2025-12-18T17:00:11Z","volume":27,"publisher":"Royal Society of Chemistry (RSC)","date_updated":"2025-12-18T17:43:25Z","citation":{"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>","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} }","short":"C. Leppin, A. Langhoff, D. Johannsmann, Physical Chemistry Chemical Physics 27 (2025) 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>","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>.","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>."},"page":"19733-19747","intvolume":"        27","year":"2025","issue":"37","publication_status":"published","publication_identifier":{"issn":["1463-9076","1463-9084"]},"extern":"1","language":[{"iso":"eng"}],"article_type":"original","user_id":"117722","_id":"63226","status":"public","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>"}],"type":"journal_article","publication":"Physical Chemistry Chemical Physics"},{"year":"2025","citation":{"ieee":"L. K. Schmitt-Richter, S. Wüllner, K. Schmidt, and M. Ebeling, “Von der Idee zur Umsetzung – Der Schulversuch an der Maria-Montessori-Gesamtschule in Düsseldorf,” <i>Pädagogikunterricht. Die Fachzeitschrift für die pädagogische Fächergruppe.</i>, vol. 45, no. 4, pp. 65–70, 2025.","chicago":"Schmitt-Richter, Lena Katharina, Sabrina Wüllner, Katharina Schmidt, and Muna Ebeling. “Von Der Idee Zur Umsetzung – Der Schulversuch an Der Maria-Montessori-Gesamtschule in Düsseldorf.” <i>Pädagogikunterricht. Die Fachzeitschrift Für Die Pädagogische Fächergruppe.</i> 45, no. 4 (2025): 65–70.","ama":"Schmitt-Richter LK, Wüllner S, Schmidt K, Ebeling M. Von der Idee zur Umsetzung – Der Schulversuch an der Maria-Montessori-Gesamtschule in Düsseldorf. <i>Pädagogikunterricht Die Fachzeitschrift für die pädagogische Fächergruppe</i>. 2025;45(4):65-70.","bibtex":"@article{Schmitt-Richter_Wüllner_Schmidt_Ebeling_2025, title={Von der Idee zur Umsetzung – Der Schulversuch an der Maria-Montessori-Gesamtschule in Düsseldorf}, volume={45}, number={4}, journal={Pädagogikunterricht. Die Fachzeitschrift für die pädagogische Fächergruppe.}, author={Schmitt-Richter, Lena Katharina and Wüllner, Sabrina and Schmidt, Katharina and Ebeling, Muna}, year={2025}, pages={65–70} }","mla":"Schmitt-Richter, Lena Katharina, et al. “Von Der Idee Zur Umsetzung – Der Schulversuch an Der Maria-Montessori-Gesamtschule in Düsseldorf.” <i>Pädagogikunterricht. Die Fachzeitschrift Für Die Pädagogische Fächergruppe.</i>, vol. 45, no. 4, 2025, pp. 65–70.","short":"L.K. Schmitt-Richter, S. Wüllner, K. Schmidt, M. Ebeling, Pädagogikunterricht. Die Fachzeitschrift Für Die Pädagogische Fächergruppe. 45 (2025) 65–70.","apa":"Schmitt-Richter, L. K., Wüllner, S., Schmidt, K., &#38; Ebeling, M. (2025). Von der Idee zur Umsetzung – Der Schulversuch an der Maria-Montessori-Gesamtschule in Düsseldorf. <i>Pädagogikunterricht. Die Fachzeitschrift Für Die Pädagogische Fächergruppe.</i>, <i>45</i>(4), 65–70."},"page":"65-70","intvolume":"        45","issue":"4","title":"Von der Idee zur Umsetzung – Der Schulversuch an der Maria-Montessori-Gesamtschule in Düsseldorf","date_updated":"2025-12-18T18:42:16Z","date_created":"2025-12-18T18:38:06Z","author":[{"last_name":"Schmitt-Richter","full_name":"Schmitt-Richter, Lena Katharina","first_name":"Lena Katharina"},{"full_name":"Wüllner, Sabrina","id":"105046","last_name":"Wüllner","first_name":"Sabrina"},{"first_name":"Katharina","last_name":"Schmidt","full_name":"Schmidt, Katharina"},{"first_name":"Muna","full_name":"Ebeling, Muna","last_name":"Ebeling"}],"volume":45,"status":"public","type":"journal_article","publication":"Pädagogikunterricht. Die Fachzeitschrift für die pädagogische Fächergruppe.","language":[{"iso":"eng"}],"_id":"63241","user_id":"105046"},{"author":[{"first_name":"Michael","full_name":"Winkler, Michael","id":"31496","last_name":"Winkler"}],"date_created":"2025-12-18T18:59:39Z","publisher":"European Mathematical Society - EMS - Publishing House GmbH","date_updated":"2025-12-18T20:12:36Z","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","publication_identifier":{"issn":["1435-9855","1435-9863"]},"publication_status":"published","citation":{"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>.","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>.","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>","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>.","short":"M. Winkler, Journal of the European Mathematical Society (2025).","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} }","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>"},"year":"2025","user_id":"31496","_id":"63244","language":[{"iso":"eng"}],"publication":"Journal of the European Mathematical Society","type":"journal_article","status":"public","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"}]},{"status":"public","type":"journal_article","publication":"Journal of Differential Equations","language":[{"iso":"eng"}],"user_id":"31496","_id":"63247","citation":{"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>.","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} }","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>","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>","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>.","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>."},"intvolume":"       423","page":"197-239","year":"2025","publication_status":"published","publication_identifier":{"issn":["0022-0396"]},"doi":"10.1016/j.jde.2024.12.040","title":"A switch in dimension dependence of critical blow-up exponents in a Keller-Segel system involving indirect signal production","date_created":"2025-12-18T19:01:40Z","author":[{"first_name":"Youshan","full_name":"Tao, Youshan","last_name":"Tao"},{"last_name":"Winkler","full_name":"Winkler, Michael","id":"31496","first_name":"Michael"}],"volume":423,"date_updated":"2025-12-18T20:12:58Z","publisher":"Elsevier BV"},{"publication":"Science China Mathematics","type":"journal_article","status":"public","user_id":"31496","_id":"63252","language":[{"iso":"eng"}],"issue":"12","publication_identifier":{"issn":["1674-7283","1869-1862"]},"publication_status":"published","intvolume":"        68","page":"2867-2900","citation":{"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>","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} }","short":"Y. Tao, M. Winkler, Science China Mathematics 68 (2025) 2867–2900.","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>.","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>.","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>.","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>"},"year":"2025","volume":68,"author":[{"first_name":"Youshan","full_name":"Tao, Youshan","last_name":"Tao"},{"first_name":"Michael","full_name":"Winkler, Michael","id":"31496","last_name":"Winkler"}],"date_created":"2025-12-18T19:04:17Z","date_updated":"2025-12-18T20:13:40Z","publisher":"Springer Science and Business Media LLC","doi":"10.1007/s11425-023-2397-y","title":"A unified approach to existence theories for singular chemotaxis systems with nonlinear signal production"},{"issue":"2","publication_identifier":{"issn":["0095-4616","1432-0606"]},"publication_status":"published","intvolume":"        91","citation":{"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>","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} }","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>.","short":"M. Winkler, Applied Mathematics &#38;amp; Optimization 91 (2025).","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>.","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>.","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>"},"year":"2025","volume":91,"date_created":"2025-12-18T20:20:06Z","author":[{"last_name":"Winkler","id":"31496","full_name":"Winkler, Michael","first_name":"Michael"}],"publisher":"Springer Science and Business Media LLC","date_updated":"2025-12-18T20:20:16Z","doi":"10.1007/s00245-025-10243-9","title":"Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters","publication":"Applied Mathematics &amp; Optimization","type":"journal_article","status":"public","abstract":[{"lang":"eng","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>"}],"user_id":"31496","_id":"63344","language":[{"iso":"eng"}],"article_number":"44"},{"doi":"10.1007/s41808-025-00316-9","title":"Exactly wave-type homoclinic orbits and emergence of transient exponential growth in a super-fast diffusion equation","volume":11,"author":[{"first_name":"Celina","last_name":"Hanfland","full_name":"Hanfland, Celina"},{"first_name":"Michael","last_name":"Winkler","id":"31496","full_name":"Winkler, Michael"}],"date_created":"2025-12-18T18:57:21Z","date_updated":"2025-12-18T20:16:49Z","publisher":"Springer Science and Business Media LLC","intvolume":"        11","page":"2041-2063","citation":{"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.","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} }","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>","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>","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>.","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>."},"year":"2025","issue":"3","publication_identifier":{"issn":["2296-9020","2296-9039"]},"publication_status":"published","language":[{"iso":"eng"}],"user_id":"31496","_id":"63242","status":"public","abstract":[{"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>","lang":"eng"}],"publication":"Journal of Elliptic and Parabolic Equations","type":"journal_article"},{"year":"2025","intvolume":"        35","page":"283-343","citation":{"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>","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>.","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.","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} }","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>."},"publication_identifier":{"issn":["0218-2025","1793-6314"]},"publication_status":"published","issue":"02","title":"Effects of degeneracies in taxis-driven evolution","doi":"10.1142/s0218202525400020","date_updated":"2025-12-18T20:16:23Z","publisher":"World Scientific Pub Co Pte Ltd","volume":35,"author":[{"first_name":"Michael","full_name":"Winkler, Michael","id":"31496","last_name":"Winkler"}],"date_created":"2025-12-16T19:23:40Z","abstract":[{"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>","lang":"eng"}],"status":"public","publication":"Mathematical Models and Methods in Applied Sciences","type":"journal_article","language":[{"iso":"eng"}],"_id":"63164","user_id":"31496"},{"user_id":"93461","department":[{"_id":"52"}],"_id":"60746","language":[{"iso":"eng"}],"type":"conference","publication":"2025 IEEE International Electric Machines & Drives Conference (IEMDC)","status":"public","author":[{"last_name":"Jakobeit","full_name":"Jakobeit, Darius","first_name":"Darius"},{"first_name":"Mario","id":"82862","full_name":"Peña López, Mario","last_name":"Peña López","orcid":"0000-0001-5381-3660"},{"first_name":"Maximilian","orcid":"0000-0001-5427-9527","last_name":"Schenke","full_name":"Schenke, Maximilian","id":"52638"},{"first_name":"Barnabas","full_name":"Haucke-Korber, Barnabas","id":"93461","last_name":"Haucke-Korber","orcid":"0000-0003-0862-2069"},{"first_name":"Oliver","full_name":"Wallscheid, Oliver","id":"11291","last_name":"Wallscheid","orcid":"https://orcid.org/0000-0001-9362-8777"}],"date_created":"2025-07-25T12:26:51Z","publisher":"IEEE","date_updated":"2025-12-19T12:42:54Z","doi":"10.1109/iemdc60492.2025.11061179","title":"Structural Optimization of Meta-Reinforcement Learning-based Finite-Control-Set Direct Torque Control of Permanent Magnet Synchronous Motors","publication_status":"published","citation":{"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>","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>.","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>.","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>","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>.","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.","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} }"},"year":"2025"},{"type":"conference","publication":"2025 IEEE International Electric Machines & Drives Conference (IEMDC)","status":"public","user_id":"93461","department":[{"_id":"52"}],"_id":"60745","language":[{"iso":"eng"}],"publication_status":"published","citation":{"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>","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.","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>.","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>","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>.","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>."},"year":"2025","date_created":"2025-07-25T12:26:35Z","author":[{"first_name":"Barnabas","full_name":"Haucke-Korber, Barnabas","id":"93461","last_name":"Haucke-Korber","orcid":"0000-0003-0862-2069"},{"full_name":"Aung, Nyi Nyi","last_name":"Aung","first_name":"Nyi Nyi"},{"orcid":"0000-0001-5427-9527","last_name":"Schenke","full_name":"Schenke, Maximilian","id":"52638","first_name":"Maximilian"},{"id":"82862","full_name":"Peña López, Mario","orcid":"0000-0001-5381-3660","last_name":"Peña López","first_name":"Mario"},{"last_name":"Jakobeit","full_name":"Jakobeit, Darius","first_name":"Darius"},{"first_name":"Oliver","orcid":"https://orcid.org/0000-0001-9362-8777","last_name":"Wallscheid","id":"11291","full_name":"Wallscheid, Oliver"}],"date_updated":"2025-12-19T12:43:17Z","publisher":"IEEE","doi":"10.1109/iemdc60492.2025.11061093","title":"Reinforcement Learning-based Direct Torque Control of Externally Excited Synchronous Motors: a Proof of Concept"},{"type":"preprint","status":"public","abstract":[{"lang":"eng","text":"Intersection distribution and non-hitting index are concepts introduced recently by Li and Pott as a new way to view the behaviour of a collection of finite field polynomials. With both an algebraic interpretation via the intersection of a polynomial with a set of lines, and a geometric interpretation via a (q+1)-set possessing an internal nucleus, the concepts have proved their usefulness as a new way to view various long-standing problems, and have applications in areas such as Kakeya sets. In this paper, by exploiting connections with diverse areas including the theory of algebraic curves, cyclotomy and the enumeration of irreducible polynomials, we establish new results and resolve various Open Problems of Li and Pott. We prove geometric results which shed new light on the relationship between intersection distribution and projective equivalence of polynomials, and algebraic results which describe and characterise the degree of Sf - the index of the largest non-zero entry in the intersection distribution of f. We provide new insights into the non-hitting spectrum, and show the limitations of the non-hitting index as a tool for characterisation. Finally, the benefits provided by the connections to other areas are evidenced in two short new proofs of the cubic case. "}],"department":[{"_id":"100"}],"user_id":"91965","_id":"61759","external_id":{"arxiv":["2510.04675"]},"language":[{"iso":"eng"}],"page":"36","citation":{"ieee":"L.-A. D. Klawuhn, S. Huczynska, and M. Paterson, “The Intersection Distribution: New Results and Perspectives.” 2025.","chicago":"Klawuhn, Lukas-André Dominik, Sophie Huczynska, and Maura Paterson. “The Intersection Distribution: New Results and Perspectives,” 2025.","ama":"Klawuhn L-AD, Huczynska S, Paterson M. The Intersection Distribution: New Results and Perspectives. Published online 2025.","apa":"Klawuhn, L.-A. D., Huczynska, S., &#38; Paterson, M. (2025). <i>The Intersection Distribution: New Results and Perspectives</i>.","short":"L.-A.D. Klawuhn, S. Huczynska, M. Paterson, (2025).","bibtex":"@article{Klawuhn_Huczynska_Paterson_2025, title={The Intersection Distribution: New Results and Perspectives}, author={Klawuhn, Lukas-André Dominik and Huczynska, Sophie and Paterson, Maura}, year={2025} }","mla":"Klawuhn, Lukas-André Dominik, et al. <i>The Intersection Distribution: New Results and Perspectives</i>. 2025."},"year":"2025","author":[{"first_name":"Lukas-André Dominik","last_name":"Klawuhn","orcid":"0009-0009-7736-4885","id":"91965","full_name":"Klawuhn, Lukas-André Dominik"},{"full_name":"Huczynska, Sophie","last_name":"Huczynska","first_name":"Sophie"},{"first_name":"Maura","last_name":"Paterson","full_name":"Paterson, Maura"}],"date_created":"2025-10-08T14:52:20Z","date_updated":"2025-12-19T11:23:10Z","title":"The Intersection Distribution: New Results and Perspectives"},{"publication":"2025 IEEE International Electric Machines & Drives Conference (IEMDC)","type":"conference","status":"public","_id":"60744","department":[{"_id":"52"}],"user_id":"93461","language":[{"iso":"eng"}],"publication_status":"published","year":"2025","citation":{"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.","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} }","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>","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>","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>.","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>."},"date_updated":"2025-12-19T12:43:37Z","publisher":"IEEE","author":[{"full_name":"Peña López, Mario","id":"82862","last_name":"Peña López","orcid":"0000-0001-5381-3660","first_name":"Mario"},{"orcid":"0000-0001-5427-9527","last_name":"Schenke","id":"52638","full_name":"Schenke, Maximilian","first_name":"Maximilian"},{"full_name":"Jakobeit, Darius","last_name":"Jakobeit","first_name":"Darius"},{"id":"93461","full_name":"Haucke-Korber, Barnabas","last_name":"Haucke-Korber","orcid":"0000-0003-0862-2069","first_name":"Barnabas"},{"orcid":"https://orcid.org/0000-0001-9362-8777","last_name":"Wallscheid","full_name":"Wallscheid, Oliver","id":"11291","first_name":"Oliver"}],"date_created":"2025-07-25T12:26:05Z","title":"Reinforcement Learning Control of Three-Level Converter Permanent Magnet Synchronous Machine Drives","doi":"10.1109/iemdc60492.2025.11061032"},{"type":"preprint","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."}],"status":"public","_id":"63384","external_id":{"arxiv":["2512.16079"]},"department":[{"_id":"100"}],"user_id":"91965","language":[{"iso":"eng"}],"year":"2025","citation":{"ieee":"A. Devillers, M. Giudici, D. R. Hawtin, L.-A. D. Klawuhn, and L. Morgan, “Linear dimension of group actions.” 2025.","chicago":"Devillers, Alice, Michael Giudici, Daniel R. Hawtin, Lukas-André Dominik Klawuhn, and Luke Morgan. “Linear Dimension of Group Actions,” 2025.","ama":"Devillers A, Giudici M, Hawtin DR, Klawuhn L-AD, Morgan L. Linear dimension of group actions. Published online 2025.","short":"A. Devillers, M. Giudici, D.R. Hawtin, L.-A.D. Klawuhn, L. Morgan, (2025).","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} }","mla":"Devillers, Alice, et al. <i>Linear Dimension of Group Actions</i>. 2025.","apa":"Devillers, A., Giudici, M., Hawtin, D. R., Klawuhn, L.-A. D., &#38; Morgan, L. (2025). <i>Linear dimension of group actions</i>."},"date_updated":"2025-12-19T11:23:41Z","date_created":"2025-12-19T11:20:46Z","author":[{"first_name":"Alice","full_name":"Devillers, Alice","last_name":"Devillers"},{"first_name":"Michael","full_name":"Giudici, Michael","last_name":"Giudici"},{"last_name":"Hawtin","full_name":"Hawtin, Daniel R.","first_name":"Daniel R."},{"orcid":"0009-0009-7736-4885","last_name":"Klawuhn","id":"91965","full_name":"Klawuhn, Lukas-André Dominik","first_name":"Lukas-André Dominik"},{"first_name":"Luke","last_name":"Morgan","full_name":"Morgan, Luke"}],"title":"Linear dimension of group actions"},{"abstract":[{"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>","lang":"eng"}],"publication":"FuG – Zeitschrift für Fußball und Gesellschaft","language":[{"iso":"ger"}],"year":"2025","quality_controlled":"1","issue":"2-2023","title":"Protest gegen Kommerzialisierung im Fußball: Theoretische Überlegungen zu Entstehung, Strukturen und Nutzen","publisher":"Verlag Barbara Budrich GmbH","date_created":"2025-12-04T15:57:56Z","status":"public","type":"journal_article","article_type":"original","_id":"62906","user_id":"21765","department":[{"_id":"175"}],"citation":{"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>.","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>","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>","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>.","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} }","short":"L. Riedl, H. Meier, FuG – Zeitschrift für Fußball und Gesellschaft 5 (2025) 97–119."},"page":"97 - 119","intvolume":"         5","publication_status":"published","publication_identifier":{"issn":["2568-0420","2568-0439"]},"doi":"10.3224/fug.v5i2.02","date_updated":"2025-12-19T15:53:01Z","author":[{"first_name":"Lars","id":"31513","full_name":"Riedl, Lars","last_name":"Riedl"},{"first_name":"Heiko","last_name":"Meier","id":"21765","full_name":"Meier, Heiko"}],"volume":5},{"article_number":"302","language":[{"iso":"eng"}],"_id":"63347","department":[{"_id":"156"}],"user_id":"7888","abstract":[{"lang":"eng","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>"}],"status":"public","publication":"Journal of Manufacturing and Materials Processing","type":"journal_article","title":"In Situ Investigation of the Frictional Behaviour in Friction-Spinning","doi":"10.3390/jmmp9090302","date_updated":"2025-12-22T10:39:34Z","publisher":"MDPI AG","volume":9,"date_created":"2025-12-19T10:05:03Z","author":[{"first_name":"Eugen","full_name":"Wiens, Eugen","id":"7888","last_name":"Wiens"},{"last_name":"Hijazi","full_name":"Hijazi, Dina","first_name":"Dina"},{"last_name":"Jüttner","full_name":"Jüttner, Maik","first_name":"Maik"},{"first_name":"Werner","last_name":"Homberg","full_name":"Homberg, Werner","id":"233"},{"first_name":"Mark Dennis","last_name":"Kensy","full_name":"Kensy, Mark Dennis"},{"last_name":"Tillmann","full_name":"Tillmann, Wolfgang","first_name":"Wolfgang"}],"year":"2025","intvolume":"         9","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>","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>.","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>.","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>.","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} }","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>"},"publication_identifier":{"issn":["2504-4494"]},"quality_controlled":"1","publication_status":"published","issue":"9"},{"date_updated":"2025-12-22T08:37:35Z","date_created":"2025-12-22T08:37:02Z","author":[{"last_name":"Byun","full_name":"Byun, Sung-Soo","first_name":"Sung-Soo"},{"id":"113768","full_name":"Jalowy, Jonas","last_name":"Jalowy","orcid":"0000-0001-9624-2685","first_name":"Jonas"},{"first_name":"Yong-Woo","last_name":"Lee","full_name":"Lee, Yong-Woo"},{"last_name":"Schehr","full_name":"Schehr, Grégory","first_name":"Grégory"}],"title":"Moderate-to-large deviation asymptotics for real eigenvalues of the elliptic Ginibre matrices","year":"2025","citation":{"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.","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.","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>.","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.","short":"S.-S. Byun, J. Jalowy, Y.-W. Lee, G. Schehr, ArXiv:2511.09191 (2025)."},"external_id":{"arxiv":["2511.09191"]},"_id":"63394","department":[{"_id":"94"}],"user_id":"113768","language":[{"iso":"eng"}],"publication":"arXiv:2511.09191","type":"preprint","abstract":[{"lang":"eng","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."}],"status":"public"}]
