[{"title":"Complementarity-based complementarity: The choice of mutually unbiased observables shapes quantum uncertainty relations","doi":"10.1103/v24q-sl6n","date_updated":"2025-12-18T16:05:45Z","publisher":"American Physical Society (APS)","volume":7,"date_created":"2025-12-18T16:04:45Z","author":[{"last_name":"Serino","id":"88242","full_name":"Serino, Laura Maria","first_name":"Laura Maria"},{"first_name":"Giovanni","full_name":"Chesi, Giovanni","last_name":"Chesi"},{"first_name":"Benjamin","id":"27150","full_name":"Brecht, Benjamin","last_name":"Brecht","orcid":"0000-0003-4140-0556 "},{"full_name":"Maccone, Lorenzo","last_name":"Maccone","first_name":"Lorenzo"},{"last_name":"Macchiavello","full_name":"Macchiavello, Chiara","first_name":"Chiara"},{"first_name":"Christine","id":"26263","full_name":"Silberhorn, Christine","last_name":"Silberhorn"}],"year":"2025","intvolume":" 7","citation":{"ieee":"L. M. Serino, G. Chesi, B. Brecht, L. Maccone, C. Macchiavello, and C. Silberhorn, “Complementarity-based complementarity: The choice of mutually unbiased observables shapes quantum uncertainty relations,” Physical Review Research, vol. 7, no. 3, Art. no. 033152, 2025, doi: 10.1103/v24q-sl6n.","chicago":"Serino, Laura Maria, Giovanni Chesi, Benjamin Brecht, Lorenzo Maccone, Chiara Macchiavello, and Christine Silberhorn. “Complementarity-Based Complementarity: The Choice of Mutually Unbiased Observables Shapes Quantum Uncertainty Relations.” Physical Review Research 7, no. 3 (2025). https://doi.org/10.1103/v24q-sl6n.","ama":"Serino LM, Chesi G, Brecht B, Maccone L, Macchiavello C, Silberhorn C. Complementarity-based complementarity: The choice of mutually unbiased observables shapes quantum uncertainty relations. Physical Review Research. 2025;7(3). doi:10.1103/v24q-sl6n","bibtex":"@article{Serino_Chesi_Brecht_Maccone_Macchiavello_Silberhorn_2025, title={Complementarity-based complementarity: The choice of mutually unbiased observables shapes quantum uncertainty relations}, volume={7}, DOI={10.1103/v24q-sl6n}, number={3033152}, journal={Physical Review Research}, publisher={American Physical Society (APS)}, author={Serino, Laura Maria and Chesi, Giovanni and Brecht, Benjamin and Maccone, Lorenzo and Macchiavello, Chiara and Silberhorn, Christine}, year={2025} }","short":"L.M. Serino, G. Chesi, B. Brecht, L. Maccone, C. Macchiavello, C. Silberhorn, Physical Review Research 7 (2025).","mla":"Serino, Laura Maria, et al. “Complementarity-Based Complementarity: The Choice of Mutually Unbiased Observables Shapes Quantum Uncertainty Relations.” Physical Review Research, vol. 7, no. 3, 033152, American Physical Society (APS), 2025, doi:10.1103/v24q-sl6n.","apa":"Serino, L. M., Chesi, G., Brecht, B., Maccone, L., Macchiavello, C., & Silberhorn, C. (2025). Complementarity-based complementarity: The choice of mutually unbiased observables shapes quantum uncertainty relations. Physical Review Research, 7(3), Article 033152. https://doi.org/10.1103/v24q-sl6n"},"publication_identifier":{"issn":["2643-1564"]},"publication_status":"published","issue":"3","article_type":"original","article_number":"033152","language":[{"iso":"eng"}],"_id":"63213","department":[{"_id":"15"},{"_id":"623"}],"user_id":"27150","abstract":[{"text":"Quantum uncertainty relations impose fundamental limits on the joint knowledge that can be acquired from complementary observables: Perfect knowledge of a quantum state in one basis implies maximal indetermination in all other mutually unbiased bases (MUBs). Uncertainty relations derived from joint properties of the MUBs are generally assumed to be uniform, irrespective of the specific observables chosen within a set. In this work, we demonstrate instead that the uncertainty relations can depend on the choice of observables. Through both experimental observation and numerical methods, we show that selecting different sets of three MUBs in a five-dimensional quantum system results in distinct uncertainty bounds, i.e., in varying degrees of complementarity, in terms of both entropy and variance.","lang":"eng"}],"status":"public","publication":"Physical Review Research","type":"journal_article"},{"publication_status":"published","publication_identifier":{"isbn":["978-3-8365-6544-6"]},"edition":"2","place":"Bad Heilbrunn","year":"2025","citation":{"ama":"Riese J, Reinhold P. Physik in der Lehrerinnen- und Lehrerbildung - Empirisch fundierte Curricula in einer digitalen Welt. In: Cramer C, König J, Rothland M, eds. Handbuch Lehrerinnen- und Lehrerbildung. 2nd ed. Verlag Julius Klinkhardt; 2025. doi:10.35468/hblb2025-076","ieee":"J. Riese and P. Reinhold, “Physik in der Lehrerinnen- und Lehrerbildung - Empirisch fundierte Curricula in einer digitalen Welt,” in Handbuch Lehrerinnen- und Lehrerbildung, 2nd ed., C. Cramer, J. König, and M. Rothland, Eds. Bad Heilbrunn: Verlag Julius Klinkhardt, 2025.","chicago":"Riese, Josef, and Peter Reinhold. “Physik in der Lehrerinnen- und Lehrerbildung - Empirisch fundierte Curricula in einer digitalen Welt.” In Handbuch Lehrerinnen- und Lehrerbildung, edited by Colin Cramer, Johannes König, and Martin Rothland, 2nd ed. Bad Heilbrunn: Verlag Julius Klinkhardt, 2025. https://doi.org/10.35468/hblb2025-076.","short":"J. Riese, P. Reinhold, in: C. Cramer, J. König, M. Rothland (Eds.), Handbuch Lehrerinnen- und Lehrerbildung, 2nd ed., Verlag Julius Klinkhardt, Bad Heilbrunn, 2025.","mla":"Riese, Josef, and Peter Reinhold. “Physik in der Lehrerinnen- und Lehrerbildung - Empirisch fundierte Curricula in einer digitalen Welt.” Handbuch Lehrerinnen- und Lehrerbildung, edited by Colin Cramer et al., 2nd ed., Verlag Julius Klinkhardt, 2025, doi:10.35468/hblb2025-076.","bibtex":"@inbook{Riese_Reinhold_2025, place={Bad Heilbrunn}, edition={2}, title={Physik in der Lehrerinnen- und Lehrerbildung - Empirisch fundierte Curricula in einer digitalen Welt}, DOI={10.35468/hblb2025-076}, booktitle={Handbuch Lehrerinnen- und Lehrerbildung}, publisher={Verlag Julius Klinkhardt}, author={Riese, Josef and Reinhold, Peter}, editor={Cramer, Colin and König, Johannes and Rothland, Martin}, year={2025} }","apa":"Riese, J., & Reinhold, P. (2025). Physik in der Lehrerinnen- und Lehrerbildung - Empirisch fundierte Curricula in einer digitalen Welt. In C. Cramer, J. König, & M. Rothland (Eds.), Handbuch Lehrerinnen- und Lehrerbildung (2nd ed.). Verlag Julius Klinkhardt. https://doi.org/10.35468/hblb2025-076"},"date_updated":"2025-12-18T15:04:58Z","publisher":"Verlag Julius Klinkhardt","author":[{"first_name":"Josef","full_name":"Riese, Josef","id":"429","last_name":"Riese","orcid":"0000-0003-2927-2619"},{"id":"416","full_name":"Reinhold, Peter","last_name":"Reinhold","first_name":"Peter"}],"date_created":"2025-12-18T14:53:55Z","title":"Physik in der Lehrerinnen- und Lehrerbildung - Empirisch fundierte Curricula in einer digitalen Welt","doi":"10.35468/hblb2025-076","type":"book_chapter","publication":"Handbuch Lehrerinnen- und Lehrerbildung","editor":[{"full_name":"Cramer, Colin","last_name":"Cramer","first_name":"Colin"},{"first_name":"Johannes ","full_name":"König, Johannes ","last_name":"König"},{"full_name":"Rothland, Martin","last_name":"Rothland","first_name":"Martin"}],"status":"public","_id":"63212","user_id":"429","department":[{"_id":"299"}],"language":[{"iso":"ger"}]},{"language":[{"iso":"eng"}],"external_id":{"arxiv":["2512.14285"]},"_id":"63187","department":[{"_id":"542"}],"user_id":"15540","status":"public","publication":"arXiv:2512.14285","type":"preprint","title":"Edge-coloring 4- and 5-regular projective planar graphs with no Petersen-minor","date_updated":"2025-12-18T13:17:18Z","date_created":"2025-12-17T14:40:23Z","author":[{"first_name":"Arnott Jeffery Joel","last_name":"Kidner","full_name":"Kidner, Arnott Jeffery Joel","id":"111755"},{"id":"15548","full_name":"Steffen, Eckhard","last_name":"Steffen","orcid":"0000-0002-9808-7401","first_name":"Eckhard"},{"first_name":"Weiqiang","last_name":"Yu","full_name":"Yu, Weiqiang","id":"117508"}],"year":"2025","citation":{"short":"A.J.J. Kidner, E. Steffen, W. Yu, ArXiv:2512.14285 (2025).","mla":"Kidner, Arnott Jeffery Joel, et al. “Edge-Coloring 4- and 5-Regular Projective Planar Graphs with No Petersen-Minor.” ArXiv:2512.14285, 2025.","bibtex":"@article{Kidner_Steffen_Yu_2025, title={Edge-coloring 4- and 5-regular projective planar graphs with no Petersen-minor}, journal={arXiv:2512.14285}, author={Kidner, Arnott Jeffery Joel and Steffen, Eckhard and Yu, Weiqiang}, year={2025} }","apa":"Kidner, A. J. J., Steffen, E., & Yu, W. (2025). Edge-coloring 4- and 5-regular projective planar graphs with no Petersen-minor. In arXiv:2512.14285.","chicago":"Kidner, Arnott Jeffery Joel, Eckhard Steffen, and Weiqiang Yu. “Edge-Coloring 4- and 5-Regular Projective Planar Graphs with No Petersen-Minor.” ArXiv:2512.14285, 2025.","ieee":"A. J. J. Kidner, E. Steffen, and W. Yu, “Edge-coloring 4- and 5-regular projective planar graphs with no Petersen-minor,” arXiv:2512.14285. 2025.","ama":"Kidner AJJ, Steffen E, Yu W. Edge-coloring 4- and 5-regular projective planar graphs with no Petersen-minor. arXiv:251214285. Published online 2025."}},{"abstract":[{"text":"We study a possibility of measuring the time-resolved second-order autocorrelation function of one of two beams generated in type-II parametric down-conversion by means of temporal magnification of this beam, bringing its correlation time from the picosecond to the nanosecond scale, which can be resolved by modern photodetectors. We show that such a measurement enables one to infer directly the degree of global coherence of that beam, which is linked by a simple relation to the number of modes characterizing the entanglement between the two generated beams. We illustrate the proposed method by an example of photon pairs generated in a periodically poled potassium titanyl phosphate (KTP) crystal with a symmetric group velocity matching for various durations of the pump pulse, resulting in different numbers of modes. Our theoretical model also shows that the magnified double-heralded autocorrelation function of one beam exhibits a local maximum around zero delay time, corresponding to photon bunching at a short time scale.","lang":"eng"}],"status":"public","type":"journal_article","publication":"Physical Review A","article_number":"023703","language":[{"iso":"eng"}],"_id":"63214","user_id":"27150","department":[{"_id":"15"},{"_id":"623"}],"year":"2025","citation":{"ama":"Horoshko DB, Srivastava S, Sośnicki F, et al. Time-resolved second-order autocorrelation function of parametric down-conversion. Physical Review A. 2025;112(2). doi:10.1103/7ckm-tm3r","ieee":"D. B. Horoshko et al., “Time-resolved second-order autocorrelation function of parametric down-conversion,” Physical Review A, vol. 112, no. 2, Art. no. 023703, 2025, doi: 10.1103/7ckm-tm3r.","chicago":"Horoshko, Dmitri B., Shivang Srivastava, Filip Sośnicki, Michał Mikołajczyk, Michał Karpiński, Benjamin Brecht, and Mikhail I. Kolobov. “Time-Resolved Second-Order Autocorrelation Function of Parametric down-Conversion.” Physical Review A 112, no. 2 (2025). https://doi.org/10.1103/7ckm-tm3r.","apa":"Horoshko, D. B., Srivastava, S., Sośnicki, F., Mikołajczyk, M., Karpiński, M., Brecht, B., & Kolobov, M. I. (2025). Time-resolved second-order autocorrelation function of parametric down-conversion. Physical Review A, 112(2), Article 023703. https://doi.org/10.1103/7ckm-tm3r","short":"D.B. Horoshko, S. Srivastava, F. Sośnicki, M. Mikołajczyk, M. Karpiński, B. Brecht, M.I. Kolobov, Physical Review A 112 (2025).","mla":"Horoshko, Dmitri B., et al. “Time-Resolved Second-Order Autocorrelation Function of Parametric down-Conversion.” Physical Review A, vol. 112, no. 2, 023703, American Physical Society (APS), 2025, doi:10.1103/7ckm-tm3r.","bibtex":"@article{Horoshko_Srivastava_Sośnicki_Mikołajczyk_Karpiński_Brecht_Kolobov_2025, title={Time-resolved second-order autocorrelation function of parametric down-conversion}, volume={112}, DOI={10.1103/7ckm-tm3r}, number={2023703}, journal={Physical Review A}, publisher={American Physical Society (APS)}, author={Horoshko, Dmitri B. and Srivastava, Shivang and Sośnicki, Filip and Mikołajczyk, Michał and Karpiński, Michał and Brecht, Benjamin and Kolobov, Mikhail I.}, year={2025} }"},"intvolume":" 112","publication_status":"published","publication_identifier":{"issn":["2469-9926","2469-9934"]},"issue":"2","title":"Time-resolved second-order autocorrelation function of parametric down-conversion","doi":"10.1103/7ckm-tm3r","date_updated":"2025-12-18T16:06:34Z","publisher":"American Physical Society (APS)","date_created":"2025-12-18T16:06:13Z","author":[{"full_name":"Horoshko, Dmitri B.","last_name":"Horoshko","first_name":"Dmitri B."},{"first_name":"Shivang","last_name":"Srivastava","full_name":"Srivastava, Shivang"},{"first_name":"Filip","full_name":"Sośnicki, Filip","last_name":"Sośnicki"},{"first_name":"Michał","last_name":"Mikołajczyk","full_name":"Mikołajczyk, Michał"},{"full_name":"Karpiński, Michał","last_name":"Karpiński","first_name":"Michał"},{"first_name":"Benjamin","full_name":"Brecht, Benjamin","id":"27150","last_name":"Brecht","orcid":"0000-0003-4140-0556 "},{"first_name":"Mikhail I.","last_name":"Kolobov","full_name":"Kolobov, Mikhail I."}],"volume":112},{"type":"journal_article","publication":"Quantum Science and Technology","status":"public","abstract":[{"text":"Abstract\r\n High-dimensional time-frequency encodings have the potential to significantly advance quantum information science; however, practical applications require precise knowledge of the encoded quantum states, which becomes increasingly challenging for larger Hilbert spaces. Self-guided tomography (SGT) has emerged as a practical and scalable technique for this purpose in the spatial domain. Here, we apply SGT to estimate time-frequency states using a multi-output quantum pulse gate. We achieve fidelities of more than 99% for 3- and 5-dimensional states without the need for calibration or post-processing. We demonstrate the robustness of SGT against statistical and environmental noise, highlighting its efficacy in the photon-starved regime typical of quantum information applications.","lang":"eng"}],"user_id":"27150","department":[{"_id":"15"},{"_id":"623"}],"_id":"63215","language":[{"iso":"eng"}],"article_number":"025024","issue":"2","publication_status":"published","publication_identifier":{"issn":["2058-9565"]},"citation":{"mla":"Serino, Laura Maria, et al. “Self-Guided Tomography of Time-Frequency Qudits.” Quantum Science and Technology, vol. 10, no. 2, 025024, IOP Publishing, 2025, doi:10.1088/2058-9565/adb0ea.","bibtex":"@article{Serino_Rambach_Brecht_Romero_Silberhorn_2025, title={Self-guided tomography of time-frequency qudits}, volume={10}, DOI={10.1088/2058-9565/adb0ea}, number={2025024}, journal={Quantum Science and Technology}, publisher={IOP Publishing}, author={Serino, Laura Maria and Rambach, Markus and Brecht, Benjamin and Romero, Jacquiline and Silberhorn, Christine}, year={2025} }","short":"L.M. Serino, M. Rambach, B. Brecht, J. Romero, C. Silberhorn, Quantum Science and Technology 10 (2025).","apa":"Serino, L. M., Rambach, M., Brecht, B., Romero, J., & Silberhorn, C. (2025). Self-guided tomography of time-frequency qudits. Quantum Science and Technology, 10(2), Article 025024. https://doi.org/10.1088/2058-9565/adb0ea","chicago":"Serino, Laura Maria, Markus Rambach, Benjamin Brecht, Jacquiline Romero, and Christine Silberhorn. “Self-Guided Tomography of Time-Frequency Qudits.” Quantum Science and Technology 10, no. 2 (2025). https://doi.org/10.1088/2058-9565/adb0ea.","ieee":"L. M. Serino, M. Rambach, B. Brecht, J. Romero, and C. Silberhorn, “Self-guided tomography of time-frequency qudits,” Quantum Science and Technology, vol. 10, no. 2, Art. no. 025024, 2025, doi: 10.1088/2058-9565/adb0ea.","ama":"Serino LM, Rambach M, Brecht B, Romero J, Silberhorn C. Self-guided tomography of time-frequency qudits. Quantum Science and Technology. 2025;10(2). doi:10.1088/2058-9565/adb0ea"},"intvolume":" 10","year":"2025","author":[{"id":"88242","full_name":"Serino, Laura Maria","last_name":"Serino","first_name":"Laura Maria"},{"full_name":"Rambach, Markus","last_name":"Rambach","first_name":"Markus"},{"full_name":"Brecht, Benjamin","id":"27150","last_name":"Brecht","orcid":"0000-0003-4140-0556 ","first_name":"Benjamin"},{"first_name":"Jacquiline","full_name":"Romero, Jacquiline","last_name":"Romero"},{"full_name":"Silberhorn, Christine","id":"26263","last_name":"Silberhorn","first_name":"Christine"}],"date_created":"2025-12-18T16:07:11Z","volume":10,"date_updated":"2025-12-18T16:07:35Z","publisher":"IOP Publishing","doi":"10.1088/2058-9565/adb0ea","title":"Self-guided tomography of time-frequency qudits"},{"quality_controlled":"1","issue":"7","year":"2025","publisher":"Wiley","date_created":"2025-12-18T16:57:22Z","title":"The Frequency‐Domain Lattice Boltzmann Method (FreqD‐LBM): A Versatile Tool to Predict the QCM Response Induced by Structured Samples","publication":"Advanced Theory and Simulations","abstract":[{"text":"AbstractThe 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, Δfn and ΔΓn, of a quartz resonator operating on different overtone orders, n, 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 Δfn and ΔΓn 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.","lang":"eng"}],"language":[{"iso":"eng"}],"publication_identifier":{"issn":["2513-0390","2513-0390"]},"publication_status":"published","intvolume":" 8","citation":{"apa":"Johannsmann, D., Häusner, P., Langhoff, A., Leppin, C., Reviakine, I., & Vanoppen, V. (2025). The Frequency‐Domain Lattice Boltzmann Method (FreqD‐LBM): A Versatile Tool to Predict the QCM Response Induced by Structured Samples. Advanced Theory and Simulations, 8(7), Article 2401373. https://doi.org/10.1002/adts.202401373","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={10.1002/adts.202401373}, 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.” Advanced Theory and Simulations, vol. 8, no. 7, 2401373, Wiley, 2025, doi:10.1002/adts.202401373.","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,” Advanced Theory and Simulations, vol. 8, no. 7, Art. no. 2401373, 2025, doi: 10.1002/adts.202401373.","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.” Advanced Theory and Simulations 8, no. 7 (2025). https://doi.org/10.1002/adts.202401373.","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. Advanced Theory and Simulations. 2025;8(7). doi:10.1002/adts.202401373"},"date_updated":"2025-12-18T17:46:34Z","volume":8,"author":[{"first_name":"Diethelm","full_name":"Johannsmann, Diethelm","last_name":"Johannsmann"},{"first_name":"Paul","full_name":"Häusner, Paul","last_name":"Häusner"},{"full_name":"Langhoff, Arne","last_name":"Langhoff","first_name":"Arne"},{"id":"117722","full_name":"Leppin, Christian","last_name":"Leppin","first_name":"Christian"},{"full_name":"Reviakine, Ilya","last_name":"Reviakine","first_name":"Ilya"},{"first_name":"Viktor","last_name":"Vanoppen","full_name":"Vanoppen, Viktor"}],"doi":"10.1002/adts.202401373","type":"journal_article","status":"public","_id":"63223","user_id":"117722","article_type":"original","article_number":"2401373"},{"status":"public","abstract":[{"lang":"eng","text":"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."}],"type":"journal_article","publication":"Batteries","extern":"1","language":[{"iso":"eng"}],"article_type":"original","article_number":"273","user_id":"117722","_id":"63222","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. Batteries. 2025;11(7). doi:10.3390/batteries11070273","ieee":"M. Stich et al., “Comparing the SEI Formation on Copper and Amorphous Carbon: A Study with Combined Operando Methods,” Batteries, vol. 11, no. 7, Art. no. 273, 2025, doi: 10.3390/batteries11070273.","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.” Batteries 11, no. 7 (2025). https://doi.org/10.3390/batteries11070273.","short":"M. Stich, C. Leppin, F.T. Krauss, J.E. Valdes Landa, I. Pantenburg, B. Roling, A. Bund, Batteries 11 (2025).","mla":"Stich, Michael, et al. “Comparing the SEI Formation on Copper and Amorphous Carbon: A Study with Combined Operando Methods.” Batteries, vol. 11, no. 7, 273, MDPI AG, 2025, doi:10.3390/batteries11070273.","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={10.3390/batteries11070273}, 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., & Bund, A. (2025). Comparing the SEI Formation on Copper and Amorphous Carbon: A Study with Combined Operando Methods. Batteries, 11(7), Article 273. https://doi.org/10.3390/batteries11070273"},"intvolume":" 11","year":"2025","issue":"7","publication_status":"published","publication_identifier":{"issn":["2313-0105"]},"quality_controlled":"1","doi":"10.3390/batteries11070273","title":"Comparing the SEI Formation on Copper and Amorphous Carbon: A Study with Combined Operando Methods","author":[{"first_name":"Michael","full_name":"Stich, Michael","last_name":"Stich"},{"id":"117722","full_name":"Leppin, Christian","last_name":"Leppin","first_name":"Christian"},{"full_name":"Krauss, Falk Thorsten","last_name":"Krauss","first_name":"Falk Thorsten"},{"full_name":"Valdes Landa, Jesus Eduardo","last_name":"Valdes Landa","first_name":"Jesus Eduardo"},{"first_name":"Isabel","last_name":"Pantenburg","full_name":"Pantenburg, Isabel"},{"first_name":"Bernhard","full_name":"Roling, Bernhard","last_name":"Roling"},{"full_name":"Bund, Andreas","last_name":"Bund","first_name":"Andreas"}],"date_created":"2025-12-18T16:56:12Z","volume":11,"date_updated":"2025-12-18T17:47:08Z","publisher":"MDPI AG"},{"intvolume":" 14","citation":{"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. Plants. 2025;14(5). doi:10.3390/plants14050798","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.” Plants 14, no. 5 (2025). https://doi.org/10.3390/plants14050798.","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,” Plants, vol. 14, no. 5, Art. no. 798, 2025, doi: 10.3390/plants14050798.","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.” Plants, vol. 14, no. 5, 798, MDPI AG, 2025, doi:10.3390/plants14050798.","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={10.3390/plants14050798}, 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} }","apa":"Langhoff, A., Peschel, A., Leppin, C., Kruppert, S., Speck, T., & Johannsmann, D. (2025). Rapid Solidification of Plant Latices from Campanula glomerata Driven by a Sudden Decrease in Hydrostatic Pressure. Plants, 14(5), Article 798. https://doi.org/10.3390/plants14050798"},"publication_identifier":{"issn":["2223-7747"]},"publication_status":"published","doi":"10.3390/plants14050798","volume":14,"author":[{"last_name":"Langhoff","full_name":"Langhoff, Arne","first_name":"Arne"},{"last_name":"Peschel","full_name":"Peschel, Astrid","first_name":"Astrid"},{"first_name":"Christian","full_name":"Leppin, Christian","id":"117722","last_name":"Leppin"},{"first_name":"Sebastian","last_name":"Kruppert","full_name":"Kruppert, Sebastian"},{"last_name":"Speck","full_name":"Speck, Thomas","first_name":"Thomas"},{"full_name":"Johannsmann, Diethelm","last_name":"Johannsmann","first_name":"Diethelm"}],"date_updated":"2025-12-18T17:41:57Z","status":"public","type":"journal_article","extern":"1","article_type":"original","article_number":"798","user_id":"117722","_id":"63224","year":"2025","issue":"5","title":"Rapid Solidification of Plant Latices from Campanula glomerata Driven by a Sudden Decrease in Hydrostatic Pressure","date_created":"2025-12-18T16:58:15Z","publisher":"MDPI AG","abstract":[{"lang":"eng","text":"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."}],"publication":"Plants","language":[{"iso":"eng"}]},{"issue":"2","year":"2025","publisher":"American Chemical Society (ACS)","date_created":"2025-12-18T16:59:12Z","title":"Swelling Degree of Polyelectrolyte Layers Determined by an Electrochemical Quartz Crystal Microbalance","publication":"Biomacromolecules","abstract":[{"lang":"eng","text":"Various polycations and polyanions were sequentially adsorbed onto the gold electrode of a quartz crystal microbalance with dissipation monitoring. The study focused on determining the adsorption kinetics, viscoelastic properties, and electroresponsivity of polyelectrolyte layers. For the first time, it was demonstrated that the structure (compact or expanded) of the layers can be determined by electroresponsivity. Viscoelastic modeling alone did not provide a conclusive answer as to whether the layers were compact or expanded. The study was further enriched by streaming potential and contact angle measurements, where polyelectrolyte multilayers were formed on mica. It was found that successive adsorption of layers led to periodic inversion of the zeta potential. Systematic differences were observed between the different top layers, which were explained by intermixing between layers. The presence or absence of interpenetration, as determined by the measurements of streaming potential and contact angles, correlated well with electroresponsivity."}],"language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"issn":["1525-7797","1526-4602"]},"citation":{"ama":"Leppin C, Pomorska A, Morga M, et al. Swelling Degree of Polyelectrolyte Layers Determined by an Electrochemical Quartz Crystal Microbalance. Biomacromolecules. 2025;26(2):914-928. doi:10.1021/acs.biomac.4c01205","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.” Biomacromolecules 26, no. 2 (2025): 914–28. https://doi.org/10.1021/acs.biomac.4c01205.","ieee":"C. Leppin et al., “Swelling Degree of Polyelectrolyte Layers Determined by an Electrochemical Quartz Crystal Microbalance,” Biomacromolecules, vol. 26, no. 2, pp. 914–928, 2025, doi: 10.1021/acs.biomac.4c01205.","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={10.1021/acs.biomac.4c01205}, number={2}, journal={Biomacromolecules}, publisher={American Chemical Society (ACS)}, author={Leppin, Christian and Pomorska, Agata and Morga, Maria and Pomastowski, Pawel and Fijałkowski, Piotr and Michna, Aneta and Johannsmann, Diethelm}, year={2025}, pages={914–928} }","mla":"Leppin, Christian, et al. “Swelling Degree of Polyelectrolyte Layers Determined by an Electrochemical Quartz Crystal Microbalance.” Biomacromolecules, vol. 26, no. 2, American Chemical Society (ACS), 2025, pp. 914–28, doi:10.1021/acs.biomac.4c01205.","short":"C. Leppin, A. Pomorska, M. Morga, P. Pomastowski, P. Fijałkowski, A. Michna, D. Johannsmann, Biomacromolecules 26 (2025) 914–928.","apa":"Leppin, C., Pomorska, A., Morga, M., Pomastowski, P., Fijałkowski, P., Michna, A., & Johannsmann, D. (2025). Swelling Degree of Polyelectrolyte Layers Determined by an Electrochemical Quartz Crystal Microbalance. Biomacromolecules, 26(2), 914–928. https://doi.org/10.1021/acs.biomac.4c01205"},"page":"914-928","intvolume":" 26","date_updated":"2025-12-18T17:44:44Z","author":[{"last_name":"Leppin","full_name":"Leppin, Christian","id":"117722","first_name":"Christian"},{"last_name":"Pomorska","full_name":"Pomorska, Agata","first_name":"Agata"},{"first_name":"Maria","last_name":"Morga","full_name":"Morga, Maria"},{"first_name":"Pawel","full_name":"Pomastowski, Pawel","last_name":"Pomastowski"},{"first_name":"Piotr","last_name":"Fijałkowski","full_name":"Fijałkowski, Piotr"},{"last_name":"Michna","full_name":"Michna, Aneta","first_name":"Aneta"},{"full_name":"Johannsmann, Diethelm","last_name":"Johannsmann","first_name":"Diethelm"}],"volume":26,"doi":"10.1021/acs.biomac.4c01205","type":"journal_article","status":"public","_id":"63225","user_id":"117722","article_type":"original","extern":"1"},{"type":"journal_article","publication":"Physical Chemistry Chemical Physics","status":"public","abstract":[{"lang":"eng","text":"Nanobubbles in water splitting are recognized by the EQCM-D. They are ubiquitous. Lifetimes are in the range of seconds."}],"user_id":"117722","_id":"63226","language":[{"iso":"eng"}],"extern":"1","article_type":"original","issue":"37","publication_status":"published","publication_identifier":{"issn":["1463-9076","1463-9084"]},"citation":{"ieee":"C. Leppin, A. Langhoff, and D. Johannsmann, “A fast electrochemical quartz crystal microbalance (EQCM) evidences the presence of nanobubbles in alkaline water splitting,” Physical Chemistry Chemical Physics, vol. 27, no. 37, pp. 19733–19747, 2025, doi: 10.1039/d5cp02691a.","chicago":"Leppin, Christian, Arne Langhoff, and Diethelm Johannsmann. “A Fast Electrochemical Quartz Crystal Microbalance (EQCM) Evidences the Presence of Nanobubbles in Alkaline Water Splitting.” Physical Chemistry Chemical Physics 27, no. 37 (2025): 19733–47. https://doi.org/10.1039/d5cp02691a.","ama":"Leppin C, Langhoff A, Johannsmann D. A fast electrochemical quartz crystal microbalance (EQCM) evidences the presence of nanobubbles in alkaline water splitting. Physical Chemistry Chemical Physics. 2025;27(37):19733-19747. doi:10.1039/d5cp02691a","short":"C. Leppin, A. Langhoff, D. Johannsmann, Physical Chemistry Chemical Physics 27 (2025) 19733–19747.","mla":"Leppin, Christian, et al. “A Fast Electrochemical Quartz Crystal Microbalance (EQCM) Evidences the Presence of Nanobubbles in Alkaline Water Splitting.” Physical Chemistry Chemical Physics, vol. 27, no. 37, Royal Society of Chemistry (RSC), 2025, pp. 19733–47, doi:10.1039/d5cp02691a.","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={10.1039/d5cp02691a}, 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} }","apa":"Leppin, C., Langhoff, A., & Johannsmann, D. (2025). A fast electrochemical quartz crystal microbalance (EQCM) evidences the presence of nanobubbles in alkaline water splitting. Physical Chemistry Chemical Physics, 27(37), 19733–19747. https://doi.org/10.1039/d5cp02691a"},"intvolume":" 27","page":"19733-19747","year":"2025","author":[{"first_name":"Christian","full_name":"Leppin, Christian","id":"117722","last_name":"Leppin"},{"first_name":"Arne","full_name":"Langhoff, Arne","last_name":"Langhoff"},{"first_name":"Diethelm","last_name":"Johannsmann","full_name":"Johannsmann, Diethelm"}],"date_created":"2025-12-18T17:00:11Z","volume":27,"date_updated":"2025-12-18T17:43:25Z","publisher":"Royal Society of Chemistry (RSC)","doi":"10.1039/d5cp02691a","title":"A fast electrochemical quartz crystal microbalance (EQCM) evidences the presence of nanobubbles in alkaline water splitting"},{"status":"public","type":"journal_article","publication":"Pädagogikunterricht. Die Fachzeitschrift für die pädagogische Fächergruppe.","language":[{"iso":"eng"}],"user_id":"105046","_id":"63241","citation":{"apa":"Schmitt-Richter, L. K., Wüllner, S., Schmidt, K., & Ebeling, M. (2025). Von der Idee zur Umsetzung – Der Schulversuch an der Maria-Montessori-Gesamtschule in Düsseldorf. Pädagogikunterricht. Die Fachzeitschrift Für Die Pädagogische Fächergruppe., 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} }","short":"L.K. Schmitt-Richter, S. Wüllner, K. Schmidt, M. Ebeling, Pädagogikunterricht. Die Fachzeitschrift Für Die Pädagogische Fächergruppe. 45 (2025) 65–70.","mla":"Schmitt-Richter, Lena Katharina, et al. “Von Der Idee Zur Umsetzung – Der Schulversuch an Der Maria-Montessori-Gesamtschule in Düsseldorf.” Pädagogikunterricht. Die Fachzeitschrift Für Die Pädagogische Fächergruppe., vol. 45, no. 4, 2025, pp. 65–70.","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.” Pädagogikunterricht. Die Fachzeitschrift Für Die Pädagogische Fächergruppe. 45, no. 4 (2025): 65–70.","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,” Pädagogikunterricht. Die Fachzeitschrift für die pädagogische Fächergruppe., vol. 45, no. 4, pp. 65–70, 2025.","ama":"Schmitt-Richter LK, Wüllner S, Schmidt K, Ebeling M. Von der Idee zur Umsetzung – Der Schulversuch an der Maria-Montessori-Gesamtschule in Düsseldorf. Pädagogikunterricht Die Fachzeitschrift für die pädagogische Fächergruppe. 2025;45(4):65-70."},"intvolume":" 45","page":"65-70","year":"2025","issue":"4","title":"Von der Idee zur Umsetzung – Der Schulversuch an der Maria-Montessori-Gesamtschule in Düsseldorf","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"},{"last_name":"Schmidt","full_name":"Schmidt, Katharina","first_name":"Katharina"},{"last_name":"Ebeling","full_name":"Ebeling, Muna","first_name":"Muna"}],"volume":45,"date_updated":"2025-12-18T18:42:16Z"},{"title":"Large-data solutions in one-dimensional thermoviscoelasticity involving temperature-dependent viscosities","doi":"10.1007/s00033-025-02582-y","date_updated":"2025-12-18T20:13:25Z","publisher":"Springer Science and Business Media LLC","date_created":"2025-12-18T19:03:19Z","author":[{"first_name":"Michael","full_name":"Winkler, Michael","id":"31496","last_name":"Winkler"}],"volume":76,"year":"2025","citation":{"chicago":"Winkler, Michael. “Large-Data Solutions in One-Dimensional Thermoviscoelasticity Involving Temperature-Dependent Viscosities.” Zeitschrift Für Angewandte Mathematik Und Physik 76, no. 5 (2025). https://doi.org/10.1007/s00033-025-02582-y.","ieee":"M. Winkler, “Large-data solutions in one-dimensional thermoviscoelasticity involving temperature-dependent viscosities,” Zeitschrift für angewandte Mathematik und Physik, vol. 76, no. 5, Art. no. 192, 2025, doi: 10.1007/s00033-025-02582-y.","ama":"Winkler M. Large-data solutions in one-dimensional thermoviscoelasticity involving temperature-dependent viscosities. Zeitschrift für angewandte Mathematik und Physik. 2025;76(5). doi:10.1007/s00033-025-02582-y","apa":"Winkler, M. (2025). Large-data solutions in one-dimensional thermoviscoelasticity involving temperature-dependent viscosities. Zeitschrift Für Angewandte Mathematik Und Physik, 76(5), Article 192. https://doi.org/10.1007/s00033-025-02582-y","bibtex":"@article{Winkler_2025, title={Large-data solutions in one-dimensional thermoviscoelasticity involving temperature-dependent viscosities}, volume={76}, DOI={10.1007/s00033-025-02582-y}, number={5192}, journal={Zeitschrift für angewandte Mathematik und Physik}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2025} }","short":"M. Winkler, Zeitschrift Für Angewandte Mathematik Und Physik 76 (2025).","mla":"Winkler, Michael. “Large-Data Solutions in One-Dimensional Thermoviscoelasticity Involving Temperature-Dependent Viscosities.” Zeitschrift Für Angewandte Mathematik Und Physik, vol. 76, no. 5, 192, Springer Science and Business Media LLC, 2025, doi:10.1007/s00033-025-02582-y."},"intvolume":" 76","publication_status":"published","publication_identifier":{"issn":["0044-2275","1420-9039"]},"issue":"5","article_number":"192","language":[{"iso":"eng"}],"_id":"63250","user_id":"31496","abstract":[{"lang":"eng","text":"Abstract\r\n \r\n An initial-boundary value problem for\r\n \r\n \r\n $$\\begin{aligned} \\left\\{ \\begin{array}{ll}u_{tt} = \\big (\\gamma (\\Theta ) u_{xt}\\big )_x + au_{xx} - \\big (f(\\Theta )\\big )_x, \\qquad & x\\in \\Omega , \\ t>0, \\\\[1mm] \\Theta _t = \\Theta _{xx} + \\gamma (\\Theta ) u_{xt}^2 - f(\\Theta ) u_{xt}, \\qquad & x\\in \\Omega , \\ t>0, \\end{array} \\right. \\end{aligned}$$\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n u\r\n \r\n tt\r\n \r\n \r\n =\r\n \r\n (\r\n \r\n γ\r\n \r\n (\r\n Θ\r\n )\r\n \r\n \r\n u\r\n \r\n xt\r\n \r\n \r\n \r\n \r\n )\r\n \r\n x\r\n \r\n +\r\n a\r\n \r\n u\r\n \r\n xx\r\n \r\n \r\n -\r\n \r\n (\r\n \r\n f\r\n \r\n (\r\n Θ\r\n )\r\n \r\n \r\n \r\n )\r\n \r\n x\r\n \r\n ,\r\n \r\n \r\n \r\n \r\n \r\n x\r\n ∈\r\n Ω\r\n ,\r\n \r\n t\r\n >\r\n 0\r\n ,\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n [\r\n 1\r\n m\r\n m\r\n ]\r\n \r\n \r\n Θ\r\n t\r\n \r\n =\r\n \r\n Θ\r\n \r\n xx\r\n \r\n \r\n +\r\n γ\r\n \r\n (\r\n Θ\r\n )\r\n \r\n \r\n u\r\n \r\n xt\r\n \r\n 2\r\n \r\n -\r\n f\r\n \r\n (\r\n Θ\r\n )\r\n \r\n \r\n u\r\n \r\n xt\r\n \r\n \r\n ,\r\n \r\n \r\n \r\n \r\n \r\n x\r\n ∈\r\n Ω\r\n ,\r\n \r\n t\r\n >\r\n 0\r\n ,\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n is considered in an open bounded real interval\r\n \r\n \r\n $$\\Omega $$\r\n \r\n Ω\r\n \r\n \r\n \r\n . Under the assumption that\r\n \r\n \r\n $$\\gamma \\in C^0([0,\\infty ))$$\r\n \r\n \r\n γ\r\n ∈\r\n \r\n C\r\n 0\r\n \r\n \r\n (\r\n \r\n [\r\n 0\r\n ,\r\n ∞\r\n )\r\n \r\n )\r\n \r\n \r\n \r\n \r\n \r\n and\r\n \r\n \r\n $$f\\in C^0([0,\\infty ))$$\r\n \r\n \r\n f\r\n ∈\r\n \r\n C\r\n 0\r\n \r\n \r\n (\r\n \r\n [\r\n 0\r\n ,\r\n ∞\r\n )\r\n \r\n )\r\n \r\n \r\n \r\n \r\n \r\n are such that\r\n \r\n \r\n $$f(0)=0$$\r\n \r\n \r\n f\r\n (\r\n 0\r\n )\r\n =\r\n 0\r\n \r\n \r\n \r\n \r\n , and\r\n \r\n \r\n $$k_\\gamma \\le \\gamma \\le K_\\gamma $$\r\n \r\n \r\n \r\n k\r\n γ\r\n \r\n ≤\r\n γ\r\n ≤\r\n \r\n K\r\n γ\r\n \r\n \r\n \r\n \r\n \r\n as well as\r\n \r\n \r\n $$\\begin{aligned} |f(\\xi )| \\le K_f \\cdot (\\xi +1)^\\alpha \\qquad \\hbox {for all } \\xi \\ge 0 \\end{aligned}$$\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n |\r\n f\r\n \r\n (\r\n ξ\r\n )\r\n \r\n |\r\n \r\n ≤\r\n \r\n K\r\n f\r\n \r\n ·\r\n \r\n \r\n (\r\n ξ\r\n +\r\n 1\r\n )\r\n \r\n α\r\n \r\n \r\n for all\r\n \r\n ξ\r\n ≥\r\n 0\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n with some\r\n \r\n \r\n $$k_\\gamma>0, K_\\gamma>0, K_f>0$$\r\n \r\n \r\n \r\n k\r\n γ\r\n \r\n >\r\n 0\r\n ,\r\n \r\n K\r\n γ\r\n \r\n >\r\n 0\r\n ,\r\n \r\n K\r\n f\r\n \r\n >\r\n 0\r\n \r\n \r\n \r\n \r\n and\r\n \r\n \r\n $$\\alpha <\\frac{3}{2}$$\r\n \r\n \r\n α\r\n <\r\n \r\n 3\r\n 2\r\n \r\n \r\n \r\n \r\n \r\n , for all suitably regular initial data of arbitrary size a statement on global existence of a global weak solution is derived. By particularly covering the thermodynamically consistent choice\r\n \r\n \r\n $$f\\equiv id$$\r\n \r\n \r\n f\r\n ≡\r\n i\r\n d\r\n \r\n \r\n \r\n \r\n of predominant physical relevance, this appears to go beyond previous related literature which seems to either rely on independence of\r\n \r\n \r\n $$\\gamma $$\r\n \r\n γ\r\n \r\n \r\n \r\n on\r\n \r\n \r\n $$\\Theta $$\r\n \r\n Θ\r\n \r\n \r\n \r\n , or to operate on finite time intervals.\r\n "}],"status":"public","type":"journal_article","publication":"Zeitschrift für angewandte Mathematik und Physik"},{"publication_identifier":{"issn":["1424-3199","1424-3202"]},"publication_status":"published","issue":"4","year":"2025","intvolume":" 25","citation":{"short":"M. Winkler, Journal of Evolution Equations 25 (2025).","mla":"Winkler, Michael. “Large-Data Regular Solutions in a One-Dimensional Thermoviscoelastic Evolution Problem Involving Temperature-Dependent Viscosities.” Journal of Evolution Equations, vol. 25, no. 4, 108, Springer Science and Business Media LLC, 2025, doi:10.1007/s00028-025-01144-z.","bibtex":"@article{Winkler_2025, title={Large-data regular solutions in a one-dimensional thermoviscoelastic evolution problem involving temperature-dependent viscosities}, volume={25}, DOI={10.1007/s00028-025-01144-z}, number={4108}, journal={Journal of Evolution Equations}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2025} }","apa":"Winkler, M. (2025). Large-data regular solutions in a one-dimensional thermoviscoelastic evolution problem involving temperature-dependent viscosities. Journal of Evolution Equations, 25(4), Article 108. https://doi.org/10.1007/s00028-025-01144-z","ieee":"M. Winkler, “Large-data regular solutions in a one-dimensional thermoviscoelastic evolution problem involving temperature-dependent viscosities,” Journal of Evolution Equations, vol. 25, no. 4, Art. no. 108, 2025, doi: 10.1007/s00028-025-01144-z.","chicago":"Winkler, Michael. “Large-Data Regular Solutions in a One-Dimensional Thermoviscoelastic Evolution Problem Involving Temperature-Dependent Viscosities.” Journal of Evolution Equations 25, no. 4 (2025). https://doi.org/10.1007/s00028-025-01144-z.","ama":"Winkler M. Large-data regular solutions in a one-dimensional thermoviscoelastic evolution problem involving temperature-dependent viscosities. Journal of Evolution Equations. 2025;25(4). doi:10.1007/s00028-025-01144-z"},"date_updated":"2025-12-18T20:13:11Z","publisher":"Springer Science and Business Media LLC","volume":25,"author":[{"first_name":"Michael","last_name":"Winkler","full_name":"Winkler, Michael","id":"31496"}],"date_created":"2025-12-18T19:02:51Z","title":"Large-data regular solutions in a one-dimensional thermoviscoelastic evolution problem involving temperature-dependent viscosities","doi":"10.1007/s00028-025-01144-z","publication":"Journal of Evolution Equations","type":"journal_article","abstract":[{"text":"Abstract\r\n \r\n The model\r\n \r\n \r\n $$\\begin{aligned} \\left\\{ \\begin{array}{l}u_{tt} = \\big (\\gamma (\\Theta ) u_{xt}\\big )_x + au_{xx} - \\big (f(\\Theta )\\big )_x, \\\\[1mm] \\Theta _t = \\Theta _{xx} + \\gamma (\\Theta ) u_{xt}^2 - f(\\Theta ) u_{xt}, \\end{array} \\right. \\end{aligned}$$\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n u\r\n \r\n tt\r\n \r\n \r\n =\r\n \r\n (\r\n \r\n γ\r\n \r\n (\r\n Θ\r\n )\r\n \r\n \r\n u\r\n \r\n xt\r\n \r\n \r\n \r\n \r\n )\r\n \r\n x\r\n \r\n +\r\n a\r\n \r\n u\r\n \r\n xx\r\n \r\n \r\n -\r\n \r\n (\r\n \r\n f\r\n \r\n (\r\n Θ\r\n )\r\n \r\n \r\n \r\n )\r\n \r\n x\r\n \r\n ,\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n [\r\n 1\r\n m\r\n m\r\n ]\r\n \r\n \r\n Θ\r\n t\r\n \r\n =\r\n \r\n Θ\r\n \r\n xx\r\n \r\n \r\n +\r\n γ\r\n \r\n (\r\n Θ\r\n )\r\n \r\n \r\n u\r\n \r\n xt\r\n \r\n 2\r\n \r\n -\r\n f\r\n \r\n (\r\n Θ\r\n )\r\n \r\n \r\n u\r\n \r\n xt\r\n \r\n \r\n ,\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n for thermoviscoelastic evolution in one-dimensional Kelvin–Voigt materials is considered. By means of an approach based on maximal Sobolev regularity theory of scalar parabolic equations, it is shown that if\r\n \r\n \r\n $$\\gamma _0>0$$\r\n \r\n \r\n \r\n γ\r\n 0\r\n \r\n >\r\n 0\r\n \r\n \r\n \r\n \r\n is fixed, then there exists\r\n \r\n \r\n $$\\delta =\\delta (\\gamma _0)>0$$\r\n \r\n \r\n δ\r\n =\r\n δ\r\n (\r\n \r\n γ\r\n 0\r\n \r\n )\r\n >\r\n 0\r\n \r\n \r\n \r\n \r\n with the property that for suitably regular initial data of arbitrary size an associated initial boundary value problem posed in an open bounded interval admits a global classical solution whenever\r\n \r\n \r\n $$\\gamma \\in C^2([0,\\infty ))$$\r\n \r\n \r\n γ\r\n ∈\r\n \r\n C\r\n 2\r\n \r\n \r\n (\r\n \r\n [\r\n 0\r\n ,\r\n ∞\r\n )\r\n \r\n )\r\n \r\n \r\n \r\n \r\n \r\n and\r\n \r\n \r\n $$f\\in C^2([0,\\infty ))$$\r\n \r\n \r\n f\r\n ∈\r\n \r\n C\r\n 2\r\n \r\n \r\n (\r\n \r\n [\r\n 0\r\n ,\r\n ∞\r\n )\r\n \r\n )\r\n \r\n \r\n \r\n \r\n \r\n are such that\r\n \r\n \r\n $$f(0)=0$$\r\n \r\n \r\n f\r\n (\r\n 0\r\n )\r\n =\r\n 0\r\n \r\n \r\n \r\n \r\n and\r\n \r\n \r\n $$|f(\\xi )| \\le K_f \\cdot (\\xi +1)^\\alpha $$\r\n \r\n \r\n \r\n |\r\n f\r\n \r\n (\r\n ξ\r\n )\r\n \r\n |\r\n \r\n ≤\r\n \r\n K\r\n f\r\n \r\n ·\r\n \r\n \r\n (\r\n ξ\r\n +\r\n 1\r\n )\r\n \r\n α\r\n \r\n \r\n \r\n \r\n \r\n for all\r\n \r\n \r\n $$\\xi \\ge 0$$\r\n \r\n \r\n ξ\r\n ≥\r\n 0\r\n \r\n \r\n \r\n \r\n and some\r\n \r\n \r\n $$K_f>0$$\r\n \r\n \r\n \r\n K\r\n f\r\n \r\n >\r\n 0\r\n \r\n \r\n \r\n \r\n and\r\n \r\n \r\n $$\\alpha <\\frac{3}{2}$$\r\n \r\n \r\n α\r\n <\r\n \r\n 3\r\n 2\r\n \r\n \r\n \r\n \r\n \r\n , and that\r\n \r\n \r\n $$\\begin{aligned} \\gamma _0 \\le \\gamma (\\xi ) \\le \\gamma _0 + \\delta \\qquad \\hbox {for all } \\xi \\ge 0. \\end{aligned}$$\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n γ\r\n 0\r\n \r\n ≤\r\n γ\r\n \r\n (\r\n ξ\r\n )\r\n \r\n ≤\r\n \r\n γ\r\n 0\r\n \r\n +\r\n δ\r\n \r\n for all\r\n \r\n ξ\r\n ≥\r\n 0\r\n .\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n This is supplemented by a statement on global existence of certain strong solutions, particularly continuous in both components, under weaker conditions on the initial data.\r\n ","lang":"eng"}],"status":"public","_id":"63249","user_id":"31496","article_number":"108","language":[{"iso":"eng"}]},{"author":[{"id":"31496","full_name":"Winkler, Michael","last_name":"Winkler","first_name":"Michael"}],"date_created":"2025-12-18T19:01:02Z","volume":65,"publisher":"Springer Science and Business Media LLC","date_updated":"2025-12-18T20:12:50Z","doi":"10.1007/s00526-025-03170-8","title":"Rough solutions in one-dimensional nonlinear thermoelasticity","issue":"1","publication_status":"published","publication_identifier":{"issn":["0944-2669","1432-0835"]},"citation":{"ama":"Winkler M. Rough solutions in one-dimensional nonlinear thermoelasticity. Calculus of Variations and Partial Differential Equations. 2025;65(1). doi:10.1007/s00526-025-03170-8","ieee":"M. Winkler, “Rough solutions in one-dimensional nonlinear thermoelasticity,” Calculus of Variations and Partial Differential Equations, vol. 65, no. 1, Art. no. 1, 2025, doi: 10.1007/s00526-025-03170-8.","chicago":"Winkler, Michael. “Rough Solutions in One-Dimensional Nonlinear Thermoelasticity.” Calculus of Variations and Partial Differential Equations 65, no. 1 (2025). https://doi.org/10.1007/s00526-025-03170-8.","apa":"Winkler, M. (2025). Rough solutions in one-dimensional nonlinear thermoelasticity. Calculus of Variations and Partial Differential Equations, 65(1), Article 1. https://doi.org/10.1007/s00526-025-03170-8","mla":"Winkler, Michael. “Rough Solutions in One-Dimensional Nonlinear Thermoelasticity.” Calculus of Variations and Partial Differential Equations, vol. 65, no. 1, 1, Springer Science and Business Media LLC, 2025, doi:10.1007/s00526-025-03170-8.","bibtex":"@article{Winkler_2025, title={Rough solutions in one-dimensional nonlinear thermoelasticity}, volume={65}, DOI={10.1007/s00526-025-03170-8}, number={11}, journal={Calculus of Variations and Partial Differential Equations}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2025} }","short":"M. Winkler, Calculus of Variations and Partial Differential Equations 65 (2025)."},"intvolume":" 65","year":"2025","user_id":"31496","_id":"63246","language":[{"iso":"eng"}],"article_number":"1","type":"journal_article","publication":"Calculus of Variations and Partial Differential Equations","status":"public","abstract":[{"lang":"eng","text":"Abstract\r\n \r\n The hyperbolic-parabolic model\r\n \r\n \r\n $$\\begin{aligned} \\left\\{ \\begin{array}{ll} u_{tt} = u_{xx} - \\big (f(\\Theta )\\big )_x, \\qquad & x\\in \\Omega , \\ t>0, \\\\ \\Theta _t = \\Theta _{xx} - f(\\Theta ) u_{xt}, \\qquad & x\\in \\Omega , \\ t>0, \\end{array} \\right. \\end{aligned}$$\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n u\r\n \r\n tt\r\n \r\n \r\n =\r\n \r\n u\r\n \r\n xx\r\n \r\n \r\n -\r\n \r\n (\r\n \r\n f\r\n \r\n (\r\n Θ\r\n )\r\n \r\n \r\n \r\n )\r\n \r\n x\r\n \r\n ,\r\n \r\n \r\n \r\n \r\n \r\n x\r\n ∈\r\n Ω\r\n ,\r\n \r\n t\r\n >\r\n 0\r\n ,\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n Θ\r\n t\r\n \r\n =\r\n \r\n Θ\r\n \r\n xx\r\n \r\n \r\n -\r\n f\r\n \r\n (\r\n Θ\r\n )\r\n \r\n \r\n u\r\n \r\n xt\r\n \r\n \r\n ,\r\n \r\n \r\n \r\n \r\n \r\n x\r\n ∈\r\n Ω\r\n ,\r\n \r\n t\r\n >\r\n 0\r\n ,\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n for the evolution of the displacement variable\r\n u\r\n and the temperature\r\n \r\n \r\n $$\\Theta \\ge 0$$\r\n \r\n \r\n Θ\r\n ≥\r\n 0\r\n \r\n \r\n \r\n \r\n during thermoelastic interaction in a one-dimensional bounded interval\r\n \r\n \r\n $$\\Omega $$\r\n \r\n Ω\r\n \r\n \r\n \r\n is considered. Whereas the literature has provided comprehensive results on global solutions for sufficiently regular initial data\r\n \r\n \r\n $$(u_0,u_{0t},\\Theta _0)=(u,u_t,\\Theta )|_{t=0}$$\r\n \r\n \r\n \r\n (\r\n \r\n u\r\n 0\r\n \r\n ,\r\n \r\n u\r\n \r\n 0\r\n t\r\n \r\n \r\n ,\r\n \r\n Θ\r\n 0\r\n \r\n )\r\n \r\n =\r\n \r\n (\r\n u\r\n ,\r\n \r\n u\r\n t\r\n \r\n ,\r\n Θ\r\n )\r\n \r\n \r\n \r\n |\r\n \r\n \r\n t\r\n =\r\n 0\r\n \r\n \r\n \r\n \r\n \r\n \r\n when\r\n \r\n \r\n $$f\\equiv id$$\r\n \r\n \r\n f\r\n ≡\r\n i\r\n d\r\n \r\n \r\n \r\n \r\n , it seems to have remained open so far how far a solution theory can be built solely on the two fundamental physical principles of energy conservation and entropy nondecrease. The present manuscript addresses this by asserting global existence of weak solutions under assumptions which are energy- and entropy-minimal in the sense of allowing for any initial data\r\n \r\n \r\n $$u_0\\in W_0^{1,2}(\\Omega )$$\r\n \r\n \r\n \r\n u\r\n 0\r\n \r\n ∈\r\n \r\n W\r\n 0\r\n \r\n 1\r\n ,\r\n 2\r\n \r\n \r\n \r\n (\r\n Ω\r\n )\r\n \r\n \r\n \r\n \r\n \r\n ,\r\n \r\n \r\n $$u_{0t} \\in L^2(\\Omega )$$\r\n \r\n \r\n \r\n u\r\n \r\n 0\r\n t\r\n \r\n \r\n ∈\r\n \r\n L\r\n 2\r\n \r\n \r\n (\r\n Ω\r\n )\r\n \r\n \r\n \r\n \r\n \r\n and\r\n \r\n \r\n $$0\\le \\Theta _0\\in L^1(\\Omega )$$\r\n \r\n \r\n 0\r\n ≤\r\n \r\n Θ\r\n 0\r\n \r\n ∈\r\n \r\n L\r\n 1\r\n \r\n \r\n (\r\n Ω\r\n )\r\n \r\n \r\n \r\n \r\n \r\n , and which apply to arbitrary\r\n \r\n \r\n $$f\\in C^1([0,\\infty ))$$\r\n \r\n \r\n f\r\n ∈\r\n \r\n C\r\n 1\r\n \r\n \r\n (\r\n \r\n [\r\n 0\r\n ,\r\n ∞\r\n )\r\n \r\n )\r\n \r\n \r\n \r\n \r\n \r\n with\r\n \r\n \r\n $$f(0)=0$$\r\n \r\n \r\n f\r\n (\r\n 0\r\n )\r\n =\r\n 0\r\n \r\n \r\n \r\n \r\n and\r\n \r\n \r\n $$f'>0$$\r\n \r\n \r\n \r\n f\r\n ′\r\n \r\n >\r\n 0\r\n \r\n \r\n \r\n \r\n on\r\n \r\n \r\n $$[0,\\infty )$$\r\n \r\n \r\n [\r\n 0\r\n ,\r\n ∞\r\n )\r\n \r\n \r\n \r\n \r\n .\r\n "}]},{"publication_status":"published","publication_identifier":{"issn":["1435-9855","1435-9863"]},"citation":{"apa":"Winkler, M. (2025). Can diffusion degeneracies enhance complexity in chemotactic aggregation? Finite-time blow-up on spheres in a quasilinear Keller–Segel system. Journal of the European Mathematical Society. https://doi.org/10.4171/jems/1607","mla":"Winkler, Michael. “Can Diffusion Degeneracies Enhance Complexity in Chemotactic Aggregation? Finite-Time Blow-up on Spheres in a Quasilinear Keller–Segel System.” Journal of the European Mathematical Society, European Mathematical Society - EMS - Publishing House GmbH, 2025, doi:10.4171/jems/1607.","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={10.4171/jems/1607}, journal={Journal of the European Mathematical Society}, publisher={European Mathematical Society - EMS - Publishing House GmbH}, author={Winkler, Michael}, year={2025} }","ama":"Winkler M. Can diffusion degeneracies enhance complexity in chemotactic aggregation? Finite-time blow-up on spheres in a quasilinear Keller–Segel system. Journal of the European Mathematical Society. Published online 2025. doi:10.4171/jems/1607","ieee":"M. Winkler, “Can diffusion degeneracies enhance complexity in chemotactic aggregation? Finite-time blow-up on spheres in a quasilinear Keller–Segel system,” Journal of the European Mathematical Society, 2025, doi: 10.4171/jems/1607.","chicago":"Winkler, Michael. “Can Diffusion Degeneracies Enhance Complexity in Chemotactic Aggregation? Finite-Time Blow-up on Spheres in a Quasilinear Keller–Segel System.” Journal of the European Mathematical Society, 2025. https://doi.org/10.4171/jems/1607."},"year":"2025","date_created":"2025-12-18T18:59:39Z","author":[{"first_name":"Michael","last_name":"Winkler","id":"31496","full_name":"Winkler, Michael"}],"date_updated":"2025-12-18T20:12:36Z","publisher":"European Mathematical Society - EMS - Publishing House GmbH","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","type":"journal_article","publication":"Journal of the European Mathematical Society","status":"public","abstract":[{"lang":"eng","text":"\r\n The Cauchy problem in \r\n \r\n \\mathbb{R}^{n}\r\n \r\n for the cross-diffusion system \r\n \r\n \r\n \r\n \\begin{cases}u_{t} = \\nabla \\cdot (D(u)\\nabla u) - \\nabla\\cdot (u\\nabla v), \\\\ 0 = \\Delta v +u,\\end{cases}\r\n \r\n \r\n \r\n is considered for \r\n \r\n n\\ge 2\r\n \r\n and under assumptions ensuring that \r\n \r\n D\r\n \r\n suitably generalizes the prototype given by \r\n \r\n \r\n \r\n D(\\xi)=(\\xi+1)^{-\\alpha}, \\quad \\xi\\ge 0.\r\n \r\n \r\n \r\n Under the assumption that \r\n \r\n \\alpha>1\r\n \r\n , it is shown that for any \r\n \r\n r_{\\star}>0\r\n \r\n and \r\n \r\n \\delta\\in (0,1)\r\n \r\n one can find radially symmetric initial data from \r\n \r\n C_{0}^{\\infty}(\\mathbb{R}^{n})\r\n \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 \r\n \\overline{B}_{r_\\star+\\delta}(0)\\setminus B_{(1-\\delta)r_\\star}(0)\r\n \r\n .This is complemented by a result revealing that when \r\n \r\n \\alpha<1\r\n \r\n , any finite-mass unbounded radial solution must blow up exclusively at the spatial origin.\r\n "}],"user_id":"31496","_id":"63244","language":[{"iso":"eng"}]},{"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","volume":423,"date_created":"2025-12-18T19:01:40Z","author":[{"full_name":"Tao, Youshan","last_name":"Tao","first_name":"Youshan"},{"last_name":"Winkler","full_name":"Winkler, Michael","id":"31496","first_name":"Michael"}],"date_updated":"2025-12-18T20:12:58Z","publisher":"Elsevier BV","intvolume":" 423","page":"197-239","citation":{"apa":"Tao, Y., & Winkler, M. (2025). A switch in dimension dependence of critical blow-up exponents in a Keller-Segel system involving indirect signal production. Journal of Differential Equations, 423, 197–239. https://doi.org/10.1016/j.jde.2024.12.040","short":"Y. Tao, M. Winkler, Journal of Differential Equations 423 (2025) 197–239.","mla":"Tao, Youshan, and Michael Winkler. “A Switch in Dimension Dependence of Critical Blow-up Exponents in a Keller-Segel System Involving Indirect Signal Production.” Journal of Differential Equations, vol. 423, Elsevier BV, 2025, pp. 197–239, doi:10.1016/j.jde.2024.12.040.","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={10.1016/j.jde.2024.12.040}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Tao, Youshan and Winkler, Michael}, year={2025}, pages={197–239} }","ama":"Tao Y, Winkler M. A switch in dimension dependence of critical blow-up exponents in a Keller-Segel system involving indirect signal production. Journal of Differential Equations. 2025;423:197-239. doi:10.1016/j.jde.2024.12.040","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.” Journal of Differential Equations 423 (2025): 197–239. https://doi.org/10.1016/j.jde.2024.12.040.","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,” Journal of Differential Equations, vol. 423, pp. 197–239, 2025, doi: 10.1016/j.jde.2024.12.040."},"year":"2025","publication_identifier":{"issn":["0022-0396"]},"publication_status":"published","language":[{"iso":"eng"}],"user_id":"31496","_id":"63247","status":"public","publication":"Journal of Differential Equations","type":"journal_article"},{"status":"public","publication":"Science China Mathematics","type":"journal_article","language":[{"iso":"eng"}],"user_id":"31496","_id":"63252","intvolume":" 68","page":"2867-2900","citation":{"apa":"Tao, Y., & Winkler, M. (2025). A unified approach to existence theories for singular chemotaxis systems with nonlinear signal production. Science China Mathematics, 68(12), 2867–2900. https://doi.org/10.1007/s11425-023-2397-y","mla":"Tao, Youshan, and Michael Winkler. “A Unified Approach to Existence Theories for Singular Chemotaxis Systems with Nonlinear Signal Production.” Science China Mathematics, vol. 68, no. 12, Springer Science and Business Media LLC, 2025, pp. 2867–900, doi:10.1007/s11425-023-2397-y.","short":"Y. Tao, M. Winkler, Science China Mathematics 68 (2025) 2867–2900.","bibtex":"@article{Tao_Winkler_2025, title={A unified approach to existence theories for singular chemotaxis systems with nonlinear signal production}, volume={68}, DOI={10.1007/s11425-023-2397-y}, number={12}, journal={Science China Mathematics}, publisher={Springer Science and Business Media LLC}, author={Tao, Youshan and Winkler, Michael}, year={2025}, pages={2867–2900} }","chicago":"Tao, Youshan, and Michael Winkler. “A Unified Approach to Existence Theories for Singular Chemotaxis Systems with Nonlinear Signal Production.” Science China Mathematics 68, no. 12 (2025): 2867–2900. https://doi.org/10.1007/s11425-023-2397-y.","ieee":"Y. Tao and M. Winkler, “A unified approach to existence theories for singular chemotaxis systems with nonlinear signal production,” Science China Mathematics, vol. 68, no. 12, pp. 2867–2900, 2025, doi: 10.1007/s11425-023-2397-y.","ama":"Tao Y, Winkler M. A unified approach to existence theories for singular chemotaxis systems with nonlinear signal production. Science China Mathematics. 2025;68(12):2867-2900. doi:10.1007/s11425-023-2397-y"},"year":"2025","issue":"12","publication_identifier":{"issn":["1674-7283","1869-1862"]},"publication_status":"published","doi":"10.1007/s11425-023-2397-y","title":"A unified approach to existence theories for singular chemotaxis systems with nonlinear signal production","volume":68,"author":[{"first_name":"Youshan","full_name":"Tao, Youshan","last_name":"Tao"},{"first_name":"Michael","last_name":"Winkler","id":"31496","full_name":"Winkler, Michael"}],"date_created":"2025-12-18T19:04:17Z","publisher":"Springer Science and Business Media LLC","date_updated":"2025-12-18T20:13:40Z"},{"year":"2025","citation":{"ama":"Winkler M. Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters. Applied Mathematics &amp; Optimization. 2025;91(2). doi:10.1007/s00245-025-10243-9","ieee":"M. Winkler, “Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters,” Applied Mathematics &amp; Optimization, vol. 91, no. 2, Art. no. 44, 2025, doi: 10.1007/s00245-025-10243-9.","chicago":"Winkler, Michael. “Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters.” Applied Mathematics &amp; Optimization 91, no. 2 (2025). https://doi.org/10.1007/s00245-025-10243-9.","mla":"Winkler, Michael. “Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters.” Applied Mathematics &amp; Optimization, vol. 91, no. 2, 44, Springer Science and Business Media LLC, 2025, doi:10.1007/s00245-025-10243-9.","bibtex":"@article{Winkler_2025, title={Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters}, volume={91}, DOI={10.1007/s00245-025-10243-9}, number={244}, journal={Applied Mathematics &amp; Optimization}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2025} }","short":"M. Winkler, Applied Mathematics &amp; Optimization 91 (2025).","apa":"Winkler, M. (2025). Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters. Applied Mathematics &amp; Optimization, 91(2), Article 44. https://doi.org/10.1007/s00245-025-10243-9"},"intvolume":" 91","publication_status":"published","publication_identifier":{"issn":["0095-4616","1432-0606"]},"issue":"2","title":"Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters","doi":"10.1007/s00245-025-10243-9","publisher":"Springer Science and Business Media LLC","date_updated":"2025-12-18T20:20:16Z","date_created":"2025-12-18T20:20:06Z","author":[{"first_name":"Michael","id":"31496","full_name":"Winkler, Michael","last_name":"Winkler"}],"volume":91,"abstract":[{"lang":"eng","text":"Abstract\r\n A Neumann-type initial-boundary value problem for \r\n \r\n $$\\begin{aligned} \\left\\{ \\begin{array}{l} u_{tt} = \\nabla \\cdot (\\gamma (\\Theta ) \\nabla u_t) + a \\nabla \\cdot (\\gamma (\\Theta ) \\nabla u) + \\nabla \\cdot f(\\Theta ), \\\\ \\Theta _t = D\\Delta \\Theta + \\Gamma (\\Theta ) |\\nabla u_t|^2 + F(\\Theta )\\cdot \\nabla u_t, \\end{array} \\right. \\end{aligned}$$\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n u\r\n \r\n tt\r\n \r\n \r\n =\r\n ∇\r\n ·\r\n \r\n (\r\n γ\r\n \r\n (\r\n Θ\r\n )\r\n \r\n ∇\r\n \r\n u\r\n t\r\n \r\n )\r\n \r\n +\r\n a\r\n ∇\r\n ·\r\n \r\n (\r\n γ\r\n \r\n (\r\n Θ\r\n )\r\n \r\n ∇\r\n u\r\n )\r\n \r\n +\r\n ∇\r\n ·\r\n f\r\n \r\n (\r\n Θ\r\n )\r\n \r\n ,\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n Θ\r\n t\r\n \r\n =\r\n D\r\n Δ\r\n Θ\r\n +\r\n Γ\r\n \r\n (\r\n Θ\r\n )\r\n \r\n \r\n \r\n |\r\n ∇\r\n \r\n u\r\n t\r\n \r\n |\r\n \r\n 2\r\n \r\n +\r\n F\r\n \r\n (\r\n Θ\r\n )\r\n \r\n ·\r\n ∇\r\n \r\n u\r\n t\r\n \r\n ,\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n is considered in a smoothly bounded domain \r\n \r\n $$\\Omega \\subset \\mathbb {R}^n$$\r\n \r\n \r\n Ω\r\n ⊂\r\n \r\n \r\n R\r\n \r\n n\r\n \r\n \r\n \r\n \r\n , \r\n \r\n $$n\\ge 1$$\r\n \r\n \r\n n\r\n ≥\r\n 1\r\n \r\n \r\n \r\n . In the case when \r\n \r\n $$n=1$$\r\n \r\n \r\n n\r\n =\r\n 1\r\n \r\n \r\n \r\n , \r\n \r\n $$\\gamma \\equiv \\Gamma $$\r\n \r\n \r\n γ\r\n ≡\r\n Γ\r\n \r\n \r\n \r\n and \r\n \r\n $$f\\equiv F$$\r\n \r\n \r\n f\r\n ≡\r\n F\r\n \r\n \r\n \r\n , this system coincides with the standard model for heat generation in a viscoelastic material of Kelvin-Voigt type, well-understood in situations in which \r\n \r\n $$\\gamma =const$$\r\n \r\n \r\n γ\r\n =\r\n c\r\n o\r\n n\r\n s\r\n t\r\n \r\n \r\n \r\n . Covering scenarios in which all key ingredients \r\n \r\n $$\\gamma ,\\Gamma ,f$$\r\n \r\n \r\n γ\r\n ,\r\n Γ\r\n ,\r\n f\r\n \r\n \r\n \r\n and F may depend on the temperature \r\n \r\n $$\\Theta $$\r\n \r\n Θ\r\n \r\n \r\n here, for initial data which merely satisfy \r\n \r\n $$u_0\\in W^{1,p+2}(\\Omega )$$\r\n \r\n \r\n \r\n u\r\n 0\r\n \r\n ∈\r\n \r\n W\r\n \r\n 1\r\n ,\r\n p\r\n +\r\n 2\r\n \r\n \r\n \r\n (\r\n Ω\r\n )\r\n \r\n \r\n \r\n \r\n , \r\n \r\n $$u_{0t}\\in W^{1,p}(\\Omega )$$\r\n \r\n \r\n \r\n u\r\n \r\n 0\r\n t\r\n \r\n \r\n ∈\r\n \r\n W\r\n \r\n 1\r\n ,\r\n p\r\n \r\n \r\n \r\n (\r\n Ω\r\n )\r\n \r\n \r\n \r\n \r\n and \r\n \r\n $$\\Theta _0\\in W^{1,p}(\\Omega )$$\r\n \r\n \r\n \r\n Θ\r\n 0\r\n \r\n ∈\r\n \r\n W\r\n \r\n 1\r\n ,\r\n p\r\n \r\n \r\n \r\n (\r\n Ω\r\n )\r\n \r\n \r\n \r\n \r\n with some \r\n \r\n $$p\\ge 2$$\r\n \r\n \r\n p\r\n ≥\r\n 2\r\n \r\n \r\n \r\n such that \r\n \r\n $$p>n$$\r\n \r\n \r\n p\r\n >\r\n n\r\n \r\n \r\n \r\n , a result on local-in-time existence and uniqueness is derived in a natural framework of weak solvability."}],"status":"public","type":"journal_article","publication":"Applied Mathematics & Optimization","article_number":"44","language":[{"iso":"eng"}],"_id":"63344","user_id":"31496"},{"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","date_created":"2025-12-18T18:57:21Z","author":[{"last_name":"Hanfland","full_name":"Hanfland, Celina","first_name":"Celina"},{"id":"31496","full_name":"Winkler, Michael","last_name":"Winkler","first_name":"Michael"}],"volume":11,"publisher":"Springer Science and Business Media LLC","date_updated":"2025-12-18T20:16:49Z","citation":{"apa":"Hanfland, C., & Winkler, M. (2025). Exactly wave-type homoclinic orbits and emergence of transient exponential growth in a super-fast diffusion equation. Journal of Elliptic and Parabolic Equations, 11(3), 2041–2063. https://doi.org/10.1007/s41808-025-00316-9","mla":"Hanfland, Celina, and Michael Winkler. “Exactly Wave-Type Homoclinic Orbits and Emergence of Transient Exponential Growth in a Super-Fast Diffusion Equation.” Journal of Elliptic and Parabolic Equations, vol. 11, no. 3, Springer Science and Business Media LLC, 2025, pp. 2041–63, doi:10.1007/s41808-025-00316-9.","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={10.1007/s41808-025-00316-9}, 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} }","ieee":"C. Hanfland and M. Winkler, “Exactly wave-type homoclinic orbits and emergence of transient exponential growth in a super-fast diffusion equation,” Journal of Elliptic and Parabolic Equations, vol. 11, no. 3, pp. 2041–2063, 2025, doi: 10.1007/s41808-025-00316-9.","chicago":"Hanfland, Celina, and Michael Winkler. “Exactly Wave-Type Homoclinic Orbits and Emergence of Transient Exponential Growth in a Super-Fast Diffusion Equation.” Journal of Elliptic and Parabolic Equations 11, no. 3 (2025): 2041–63. https://doi.org/10.1007/s41808-025-00316-9.","ama":"Hanfland C, Winkler M. Exactly wave-type homoclinic orbits and emergence of transient exponential growth in a super-fast diffusion equation. Journal of Elliptic and Parabolic Equations. 2025;11(3):2041-2063. doi:10.1007/s41808-025-00316-9"},"page":"2041-2063","intvolume":" 11","year":"2025","issue":"3","publication_status":"published","publication_identifier":{"issn":["2296-9020","2296-9039"]},"language":[{"iso":"eng"}],"user_id":"31496","_id":"63242","status":"public","abstract":[{"lang":"eng","text":"Abstract\r\n \r\n For\r\n \r\n \r\n $$p>2$$\r\n \r\n \r\n p\r\n >\r\n 2\r\n \r\n \r\n \r\n \r\n , the equation\r\n \r\n \r\n $$\\begin{aligned} u_t = u^p u_{xx}, \\qquad x\\in \\mathbb {R}, \\ t\\in \\mathbb {R}, \\end{aligned}$$\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n u\r\n t\r\n \r\n =\r\n \r\n u\r\n p\r\n \r\n \r\n u\r\n \r\n xx\r\n \r\n \r\n ,\r\n \r\n x\r\n ∈\r\n R\r\n ,\r\n \r\n t\r\n ∈\r\n R\r\n ,\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n is shown to admit positive and spatially increasing smooth solutions on all of\r\n \r\n \r\n $$\\mathbb {R}\\times \\mathbb {R}$$\r\n \r\n \r\n R\r\n ×\r\n R\r\n \r\n \r\n \r\n \r\n which are precisely of the form of an accelerating wave for\r\n \r\n \r\n $$t<0$$\r\n \r\n \r\n t\r\n <\r\n 0\r\n \r\n \r\n \r\n \r\n , and of a wave slowing down for\r\n \r\n \r\n $$t>0$$\r\n \r\n \r\n t\r\n >\r\n 0\r\n \r\n \r\n \r\n \r\n . These solutions satisfy\r\n \r\n \r\n $$u(\\cdot ,t)\\rightarrow 0$$\r\n \r\n \r\n u\r\n (\r\n ·\r\n ,\r\n t\r\n )\r\n →\r\n 0\r\n \r\n \r\n \r\n \r\n in\r\n \r\n \r\n $$L^\\infty _{loc}(\\mathbb {R})$$\r\n \r\n \r\n \r\n L\r\n \r\n loc\r\n \r\n ∞\r\n \r\n \r\n (\r\n R\r\n )\r\n \r\n \r\n \r\n \r\n \r\n as\r\n \r\n \r\n $$t\\rightarrow + \\infty $$\r\n \r\n \r\n t\r\n →\r\n +\r\n ∞\r\n \r\n \r\n \r\n \r\n and as\r\n \r\n \r\n $$t\\rightarrow -\\infty $$\r\n \r\n \r\n t\r\n →\r\n -\r\n ∞\r\n \r\n \r\n \r\n \r\n , and exhibit a yet apparently undiscovered phenomenon of transient rapid spatial growth, in the sense that\r\n \r\n \r\n $$\\begin{aligned} \\lim _{x\\rightarrow +\\infty } x^{-1} u(x,t) \\quad \\text{ exists } \\text{ for } \\text{ all } t<0, \\end{aligned}$$\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n lim\r\n \r\n x\r\n →\r\n +\r\n ∞\r\n \r\n \r\n \r\n x\r\n \r\n -\r\n 1\r\n \r\n \r\n u\r\n \r\n (\r\n x\r\n ,\r\n t\r\n )\r\n \r\n \r\n \r\n exists\r\n \r\n \r\n for\r\n \r\n \r\n all\r\n \r\n t\r\n <\r\n 0\r\n ,\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n that\r\n \r\n \r\n $$\\begin{aligned} \\lim _{x\\rightarrow +\\infty } x^{-\\frac{2}{p}} u(x,t) \\quad \\text{ exists } \\text{ for } \\text{ all } t>0, \\end{aligned}$$\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n lim\r\n \r\n x\r\n →\r\n +\r\n ∞\r\n \r\n \r\n \r\n x\r\n \r\n -\r\n \r\n 2\r\n p\r\n \r\n \r\n \r\n u\r\n \r\n (\r\n x\r\n ,\r\n t\r\n )\r\n \r\n \r\n \r\n exists\r\n \r\n \r\n for\r\n \r\n \r\n all\r\n \r\n t\r\n >\r\n 0\r\n ,\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n but that\r\n \r\n \r\n $$\\begin{aligned} u(x,0)=K e^{\\alpha x} \\qquad \\text{ for } \\text{ all } x\\in \\mathbb {R}\\end{aligned}$$\r\n \r\n \r\n \r\n \r\n \r\n \r\n u\r\n \r\n (\r\n x\r\n ,\r\n 0\r\n )\r\n \r\n =\r\n K\r\n \r\n e\r\n \r\n α\r\n x\r\n \r\n \r\n \r\n \r\n for\r\n \r\n \r\n all\r\n \r\n x\r\n ∈\r\n R\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n with some\r\n \r\n \r\n $$K>0$$\r\n \r\n \r\n K\r\n >\r\n 0\r\n \r\n \r\n \r\n \r\n and\r\n \r\n \r\n $$\\alpha >0$$\r\n \r\n \r\n α\r\n >\r\n 0\r\n \r\n \r\n \r\n \r\n .\r\n "}],"type":"journal_article","publication":"Journal of Elliptic and Parabolic Equations"},{"date_created":"2025-12-16T19:23:40Z","author":[{"last_name":"Winkler","id":"31496","full_name":"Winkler, Michael","first_name":"Michael"}],"volume":35,"date_updated":"2025-12-18T20:16:23Z","publisher":"World Scientific Pub Co Pte Ltd","doi":"10.1142/s0218202525400020","title":"Effects of degeneracies in taxis-driven evolution","issue":"02","publication_status":"published","publication_identifier":{"issn":["0218-2025","1793-6314"]},"citation":{"ieee":"M. Winkler, “Effects of degeneracies in taxis-driven evolution,” Mathematical Models and Methods in Applied Sciences, vol. 35, no. 02, pp. 283–343, 2025, doi: 10.1142/s0218202525400020.","chicago":"Winkler, Michael. “Effects of Degeneracies in Taxis-Driven Evolution.” Mathematical Models and Methods in Applied Sciences 35, no. 02 (2025): 283–343. https://doi.org/10.1142/s0218202525400020.","ama":"Winkler M. Effects of degeneracies in taxis-driven evolution. Mathematical Models and Methods in Applied Sciences. 2025;35(02):283-343. doi:10.1142/s0218202525400020","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={10.1142/s0218202525400020}, 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.” Mathematical Models and Methods in Applied Sciences, vol. 35, no. 02, World Scientific Pub Co Pte Ltd, 2025, pp. 283–343, doi:10.1142/s0218202525400020.","apa":"Winkler, M. (2025). Effects of degeneracies in taxis-driven evolution. Mathematical Models and Methods in Applied Sciences, 35(02), 283–343. https://doi.org/10.1142/s0218202525400020"},"intvolume":" 35","page":"283-343","year":"2025","user_id":"31496","_id":"63164","language":[{"iso":"eng"}],"type":"journal_article","publication":"Mathematical Models and Methods in Applied Sciences","status":"public","abstract":[{"text":" 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. ","lang":"eng"}]}]