[{"abstract":[{"lang":"eng","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."}],"publication":"Advanced Theory and Simulations","language":[{"iso":"eng"}],"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","status":"public","type":"journal_article","article_type":"original","article_number":"2401373","_id":"63223","user_id":"117722","intvolume":" 8","citation":{"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","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.","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} }","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"},"publication_identifier":{"issn":["2513-0390","2513-0390"]},"publication_status":"published","doi":"10.1002/adts.202401373","date_updated":"2025-12-18T17:46:34Z","volume":8,"author":[{"first_name":"Diethelm","last_name":"Johannsmann","full_name":"Johannsmann, Diethelm"},{"first_name":"Paul","full_name":"Häusner, Paul","last_name":"Häusner"},{"first_name":"Arne","last_name":"Langhoff","full_name":"Langhoff, Arne"},{"first_name":"Christian","last_name":"Leppin","id":"117722","full_name":"Leppin, Christian"},{"last_name":"Reviakine","full_name":"Reviakine, Ilya","first_name":"Ilya"},{"last_name":"Vanoppen","full_name":"Vanoppen, Viktor","first_name":"Viktor"}]},{"_id":"63222","user_id":"117722","article_type":"original","article_number":"273","language":[{"iso":"eng"}],"extern":"1","type":"journal_article","publication":"Batteries","abstract":[{"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.","lang":"eng"}],"status":"public","publisher":"MDPI AG","date_updated":"2025-12-18T17:47:08Z","date_created":"2025-12-18T16:56:12Z","author":[{"first_name":"Michael","last_name":"Stich","full_name":"Stich, Michael"},{"last_name":"Leppin","full_name":"Leppin, Christian","id":"117722","first_name":"Christian"},{"full_name":"Krauss, Falk Thorsten","last_name":"Krauss","first_name":"Falk Thorsten"},{"last_name":"Valdes Landa","full_name":"Valdes Landa, Jesus Eduardo","first_name":"Jesus Eduardo"},{"full_name":"Pantenburg, Isabel","last_name":"Pantenburg","first_name":"Isabel"},{"full_name":"Roling, Bernhard","last_name":"Roling","first_name":"Bernhard"},{"first_name":"Andreas","full_name":"Bund, Andreas","last_name":"Bund"}],"volume":11,"title":"Comparing the SEI Formation on Copper and Amorphous Carbon: A Study with Combined Operando Methods","doi":"10.3390/batteries11070273","publication_status":"published","publication_identifier":{"issn":["2313-0105"]},"quality_controlled":"1","issue":"7","year":"2025","citation":{"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","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} }","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.","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"},"intvolume":" 11"},{"publication_identifier":{"issn":["2223-7747"]},"publication_status":"published","intvolume":" 14","citation":{"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","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} }","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.","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"},"date_updated":"2025-12-18T17:41:57Z","volume":14,"author":[{"first_name":"Arne","full_name":"Langhoff, Arne","last_name":"Langhoff"},{"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","full_name":"Kruppert, Sebastian","last_name":"Kruppert"},{"first_name":"Thomas","full_name":"Speck, Thomas","last_name":"Speck"},{"last_name":"Johannsmann","full_name":"Johannsmann, Diethelm","first_name":"Diethelm"}],"doi":"10.3390/plants14050798","type":"journal_article","status":"public","_id":"63224","user_id":"117722","article_number":"798","article_type":"original","extern":"1","issue":"5","year":"2025","publisher":"MDPI AG","date_created":"2025-12-18T16:58:15Z","title":"Rapid Solidification of Plant Latices from Campanula glomerata Driven by a Sudden Decrease in Hydrostatic Pressure","publication":"Plants","abstract":[{"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.","lang":"eng"}],"language":[{"iso":"eng"}]},{"article_type":"original","extern":"1","_id":"63225","user_id":"117722","status":"public","type":"journal_article","doi":"10.1021/acs.biomac.4c01205","date_updated":"2025-12-18T17:44:44Z","author":[{"last_name":"Leppin","full_name":"Leppin, Christian","id":"117722","first_name":"Christian"},{"first_name":"Agata","full_name":"Pomorska, Agata","last_name":"Pomorska"},{"first_name":"Maria","full_name":"Morga, Maria","last_name":"Morga"},{"full_name":"Pomastowski, Pawel","last_name":"Pomastowski","first_name":"Pawel"},{"first_name":"Piotr","full_name":"Fijałkowski, Piotr","last_name":"Fijałkowski"},{"first_name":"Aneta","last_name":"Michna","full_name":"Michna, Aneta"},{"first_name":"Diethelm","full_name":"Johannsmann, Diethelm","last_name":"Johannsmann"}],"volume":26,"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.","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","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."},"intvolume":" 26","page":"914-928","publication_status":"published","publication_identifier":{"issn":["1525-7797","1526-4602"]},"language":[{"iso":"eng"}],"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"}],"publication":"Biomacromolecules","title":"Swelling Degree of Polyelectrolyte Layers Determined by an Electrochemical Quartz Crystal Microbalance","publisher":"American Chemical Society (ACS)","date_created":"2025-12-18T16:59:12Z","year":"2025","issue":"2"},{"title":"A fast electrochemical quartz crystal microbalance (EQCM) evidences the presence of nanobubbles in alkaline water splitting","doi":"10.1039/d5cp02691a","date_updated":"2025-12-18T17:43:25Z","publisher":"Royal Society of Chemistry (RSC)","volume":27,"author":[{"first_name":"Christian","last_name":"Leppin","full_name":"Leppin, Christian","id":"117722"},{"first_name":"Arne","full_name":"Langhoff, Arne","last_name":"Langhoff"},{"first_name":"Diethelm","full_name":"Johannsmann, Diethelm","last_name":"Johannsmann"}],"date_created":"2025-12-18T17:00:11Z","year":"2025","page":"19733-19747","intvolume":" 27","citation":{"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.","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.","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","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","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} }"},"publication_identifier":{"issn":["1463-9076","1463-9084"]},"publication_status":"published","issue":"37","article_type":"original","extern":"1","language":[{"iso":"eng"}],"_id":"63226","user_id":"117722","abstract":[{"text":"Nanobubbles in water splitting are recognized by the EQCM-D. They are ubiquitous. Lifetimes are in the range of seconds.","lang":"eng"}],"status":"public","publication":"Physical Chemistry Chemical Physics","type":"journal_article"},{"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":[{"first_name":"Lena Katharina","last_name":"Schmitt-Richter","full_name":"Schmitt-Richter, Lena Katharina"},{"first_name":"Sabrina","full_name":"Wüllner, Sabrina","id":"105046","last_name":"Wüllner"},{"first_name":"Katharina","last_name":"Schmidt","full_name":"Schmidt, Katharina"},{"last_name":"Ebeling","full_name":"Ebeling, Muna","first_name":"Muna"}],"volume":45,"year":"2025","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} }","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.","short":"L.K. Schmitt-Richter, S. Wüllner, K. Schmidt, M. Ebeling, Pädagogikunterricht. Die Fachzeitschrift Für Die Pädagogische Fächergruppe. 45 (2025) 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."},"page":"65-70","intvolume":" 45","issue":"4","language":[{"iso":"eng"}],"_id":"63241","user_id":"105046","status":"public","type":"journal_article","publication":"Pädagogikunterricht. Die Fachzeitschrift für die pädagogische Fächergruppe."},{"volume":76,"date_created":"2025-12-18T19:03:19Z","author":[{"last_name":"Winkler","full_name":"Winkler, Michael","id":"31496","first_name":"Michael"}],"publisher":"Springer Science and Business Media LLC","date_updated":"2025-12-18T20:13:25Z","doi":"10.1007/s00033-025-02582-y","title":"Large-data solutions in one-dimensional thermoviscoelasticity involving temperature-dependent viscosities","issue":"5","publication_identifier":{"issn":["0044-2275","1420-9039"]},"publication_status":"published","intvolume":" 76","citation":{"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} }","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.","short":"M. Winkler, Zeitschrift Für Angewandte Mathematik Und Physik 76 (2025).","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","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"},"year":"2025","user_id":"31496","_id":"63250","language":[{"iso":"eng"}],"article_number":"192","publication":"Zeitschrift für angewandte Mathematik und Physik","type":"journal_article","status":"public","abstract":[{"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 ","lang":"eng"}]},{"publication_identifier":{"issn":["1424-3199","1424-3202"]},"publication_status":"published","issue":"4","year":"2025","intvolume":" 25","citation":{"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","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.","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.","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"},"date_updated":"2025-12-18T20:13:11Z","publisher":"Springer Science and Business Media LLC","volume":25,"author":[{"full_name":"Winkler, Michael","id":"31496","last_name":"Winkler","first_name":"Michael"}],"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"}]},{"doi":"10.1007/s00526-025-03170-8","title":"Rough solutions in one-dimensional nonlinear thermoelasticity","date_created":"2025-12-18T19:01:02Z","author":[{"id":"31496","full_name":"Winkler, Michael","last_name":"Winkler","first_name":"Michael"}],"volume":65,"publisher":"Springer Science and Business Media LLC","date_updated":"2025-12-18T20:12:50Z","citation":{"short":"M. Winkler, Calculus of Variations and Partial Differential Equations 65 (2025).","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} }","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","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."},"intvolume":" 65","year":"2025","issue":"1","publication_status":"published","publication_identifier":{"issn":["0944-2669","1432-0835"]},"language":[{"iso":"eng"}],"article_number":"1","user_id":"31496","_id":"63246","status":"public","abstract":[{"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 ","lang":"eng"}],"type":"journal_article","publication":"Calculus of Variations and Partial Differential Equations"},{"citation":{"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.","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.","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","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","short":"M. Winkler, Journal of the European Mathematical Society (2025).","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.","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} }"},"year":"2025","publication_identifier":{"issn":["1435-9855","1435-9863"]},"publication_status":"published","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","date_created":"2025-12-18T18:59:39Z","author":[{"last_name":"Winkler","full_name":"Winkler, Michael","id":"31496","first_name":"Michael"}],"publisher":"European Mathematical Society - EMS - Publishing House GmbH","date_updated":"2025-12-18T20:12:36Z","status":"public","abstract":[{"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 ","lang":"eng"}],"publication":"Journal of the European Mathematical Society","type":"journal_article","language":[{"iso":"eng"}],"user_id":"31496","_id":"63244"},{"citation":{"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.","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","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} }","short":"Y. Tao, M. Winkler, Journal of Differential Equations 423 (2025) 197–239."},"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","author":[{"last_name":"Tao","full_name":"Tao, Youshan","first_name":"Youshan"},{"last_name":"Winkler","full_name":"Winkler, Michael","id":"31496","first_name":"Michael"}],"date_created":"2025-12-18T19:01:40Z","volume":423,"date_updated":"2025-12-18T20:12:58Z","publisher":"Elsevier BV","status":"public","type":"journal_article","publication":"Journal of Differential Equations","language":[{"iso":"eng"}],"user_id":"31496","_id":"63247"},{"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","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} }","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.","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.","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.","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"},"intvolume":" 68","page":"2867-2900","year":"2025","issue":"12","publication_status":"published","publication_identifier":{"issn":["1674-7283","1869-1862"]},"doi":"10.1007/s11425-023-2397-y","title":"A unified approach to existence theories for singular chemotaxis systems with nonlinear signal production","author":[{"last_name":"Tao","full_name":"Tao, Youshan","first_name":"Youshan"},{"full_name":"Winkler, Michael","id":"31496","last_name":"Winkler","first_name":"Michael"}],"date_created":"2025-12-18T19:04:17Z","volume":68,"publisher":"Springer Science and Business Media LLC","date_updated":"2025-12-18T20:13:40Z","status":"public","type":"journal_article","publication":"Science China Mathematics","language":[{"iso":"eng"}],"user_id":"31496","_id":"63252"},{"_id":"63344","user_id":"31496","article_number":"44","language":[{"iso":"eng"}],"publication":"Applied Mathematics & Optimization","type":"journal_article","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","date_updated":"2025-12-18T20:20:16Z","publisher":"Springer Science and Business Media LLC","volume":91,"author":[{"first_name":"Michael","full_name":"Winkler, Michael","id":"31496","last_name":"Winkler"}],"date_created":"2025-12-18T20:20:06Z","title":"Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with Temperature-Dependent Parameters","doi":"10.1007/s00245-025-10243-9","publication_identifier":{"issn":["0095-4616","1432-0606"]},"publication_status":"published","issue":"2","year":"2025","intvolume":" 91","citation":{"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.","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","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.","short":"M. Winkler, Applied Mathematics &amp; Optimization 91 (2025).","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} }","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"}},{"publication_identifier":{"issn":["2296-9020","2296-9039"]},"publication_status":"published","issue":"3","year":"2025","intvolume":" 11","page":"2041-2063","citation":{"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.","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.","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","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","short":"C. Hanfland, M. Winkler, Journal of Elliptic and Parabolic Equations 11 (2025) 2041–2063.","mla":"Hanfland, Celina, and Michael Winkler. “Exactly Wave-Type Homoclinic Orbits and Emergence of Transient Exponential Growth in a Super-Fast Diffusion Equation.” 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.","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} }"},"date_updated":"2025-12-18T20:16:49Z","publisher":"Springer Science and Business Media LLC","volume":11,"date_created":"2025-12-18T18:57:21Z","author":[{"first_name":"Celina","full_name":"Hanfland, Celina","last_name":"Hanfland"},{"first_name":"Michael","full_name":"Winkler, Michael","id":"31496","last_name":"Winkler"}],"title":"Exactly wave-type homoclinic orbits and emergence of transient exponential growth in a super-fast diffusion equation","doi":"10.1007/s41808-025-00316-9","publication":"Journal of Elliptic and Parabolic Equations","type":"journal_article","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 "}],"status":"public","_id":"63242","user_id":"31496","language":[{"iso":"eng"}]},{"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","date_created":"2025-12-16T19:23:40Z","author":[{"first_name":"Michael","id":"31496","full_name":"Winkler, Michael","last_name":"Winkler"}],"volume":35,"year":"2025","citation":{"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","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.","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.","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.","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} }","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"},"page":"283-343","intvolume":" 35","publication_status":"published","publication_identifier":{"issn":["0218-2025","1793-6314"]},"issue":"02","language":[{"iso":"eng"}],"_id":"63164","user_id":"31496","abstract":[{"lang":"eng","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. "}],"status":"public","type":"journal_article","publication":"Mathematical Models and Methods in Applied Sciences"},{"author":[{"full_name":"Jakobeit, Darius","last_name":"Jakobeit","first_name":"Darius"},{"orcid":"0000-0001-5381-3660","last_name":"Peña López","id":"82862","full_name":"Peña López, Mario","first_name":"Mario"},{"full_name":"Schenke, Maximilian","id":"52638","orcid":"0000-0001-5427-9527","last_name":"Schenke","first_name":"Maximilian"},{"first_name":"Barnabas","orcid":"0000-0003-0862-2069","last_name":"Haucke-Korber","id":"93461","full_name":"Haucke-Korber, Barnabas"},{"orcid":"https://orcid.org/0000-0001-9362-8777","last_name":"Wallscheid","id":"11291","full_name":"Wallscheid, Oliver","first_name":"Oliver"}],"date_created":"2025-07-25T12:26:51Z","date_updated":"2025-12-19T12:42:54Z","publisher":"IEEE","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":{"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={10.1109/iemdc60492.2025.11061179}, booktitle={2025 IEEE International Electric Machines & Drives Conference (IEMDC)}, publisher={IEEE}, author={Jakobeit, Darius and Peña López, Mario and Schenke, Maximilian and Haucke-Korber, Barnabas and Wallscheid, Oliver}, year={2025} }","short":"D. Jakobeit, M. Peña López, M. Schenke, B. Haucke-Korber, O. Wallscheid, in: 2025 IEEE International Electric Machines & Drives Conference (IEMDC), IEEE, 2025.","mla":"Jakobeit, Darius, et al. “Structural Optimization of Meta-Reinforcement Learning-Based Finite-Control-Set Direct Torque Control of Permanent Magnet Synchronous Motors.” 2025 IEEE International Electric Machines & Drives Conference (IEMDC), IEEE, 2025, doi:10.1109/iemdc60492.2025.11061179.","apa":"Jakobeit, D., Peña López, M., Schenke, M., Haucke-Korber, B., & Wallscheid, O. (2025). Structural Optimization of Meta-Reinforcement Learning-based Finite-Control-Set Direct Torque Control of Permanent Magnet Synchronous Motors. 2025 IEEE International Electric Machines & Drives Conference (IEMDC). https://doi.org/10.1109/iemdc60492.2025.11061179","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: 2025 IEEE International Electric Machines & Drives Conference (IEMDC). IEEE; 2025. doi:10.1109/iemdc60492.2025.11061179","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: 10.1109/iemdc60492.2025.11061179.","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 2025 IEEE International Electric Machines & Drives Conference (IEMDC). IEEE, 2025. https://doi.org/10.1109/iemdc60492.2025.11061179."},"year":"2025","department":[{"_id":"52"}],"user_id":"93461","_id":"60746","language":[{"iso":"eng"}],"publication":"2025 IEEE International Electric Machines & Drives Conference (IEMDC)","type":"conference","status":"public"},{"publication":"2025 IEEE International Electric Machines & Drives Conference (IEMDC)","type":"conference","status":"public","_id":"60745","department":[{"_id":"52"}],"user_id":"93461","language":[{"iso":"eng"}],"publication_status":"published","year":"2025","citation":{"apa":"Haucke-Korber, B., Aung, N. N., Schenke, M., Peña López, M., Jakobeit, D., & Wallscheid, O. (2025). Reinforcement Learning-based Direct Torque Control of Externally Excited Synchronous Motors: a Proof of Concept. 2025 IEEE International Electric Machines & Drives Conference (IEMDC). https://doi.org/10.1109/iemdc60492.2025.11061093","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={10.1109/iemdc60492.2025.11061093}, booktitle={2025 IEEE International Electric Machines & 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} }","short":"B. Haucke-Korber, N.N. Aung, M. Schenke, M. Peña López, D. Jakobeit, O. Wallscheid, in: 2025 IEEE International Electric Machines & Drives Conference (IEMDC), IEEE, 2025.","mla":"Haucke-Korber, Barnabas, et al. “Reinforcement Learning-Based Direct Torque Control of Externally Excited Synchronous Motors: A Proof of Concept.” 2025 IEEE International Electric Machines & Drives Conference (IEMDC), IEEE, 2025, doi:10.1109/iemdc60492.2025.11061093.","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 2025 IEEE International Electric Machines & Drives Conference (IEMDC). IEEE, 2025. https://doi.org/10.1109/iemdc60492.2025.11061093.","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: 10.1109/iemdc60492.2025.11061093.","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: 2025 IEEE International Electric Machines & Drives Conference (IEMDC). IEEE; 2025. doi:10.1109/iemdc60492.2025.11061093"},"publisher":"IEEE","date_updated":"2025-12-19T12:43:17Z","date_created":"2025-07-25T12:26:35Z","author":[{"full_name":"Haucke-Korber, Barnabas","id":"93461","last_name":"Haucke-Korber","orcid":"0000-0003-0862-2069","first_name":"Barnabas"},{"first_name":"Nyi Nyi","last_name":"Aung","full_name":"Aung, Nyi Nyi"},{"id":"52638","full_name":"Schenke, Maximilian","last_name":"Schenke","orcid":"0000-0001-5427-9527","first_name":"Maximilian"},{"id":"82862","full_name":"Peña López, Mario","orcid":"0000-0001-5381-3660","last_name":"Peña López","first_name":"Mario"},{"first_name":"Darius","full_name":"Jakobeit, Darius","last_name":"Jakobeit"},{"first_name":"Oliver","id":"11291","full_name":"Wallscheid, Oliver","last_name":"Wallscheid","orcid":"https://orcid.org/0000-0001-9362-8777"}],"title":"Reinforcement Learning-based Direct Torque Control of Externally Excited Synchronous Motors: a Proof of Concept","doi":"10.1109/iemdc60492.2025.11061093"},{"title":"The Intersection Distribution: New Results and Perspectives","date_updated":"2025-12-19T11:23:10Z","date_created":"2025-10-08T14:52:20Z","author":[{"first_name":"Lukas-André Dominik","full_name":"Klawuhn, Lukas-André Dominik","id":"91965","last_name":"Klawuhn","orcid":"0009-0009-7736-4885"},{"full_name":"Huczynska, Sophie","last_name":"Huczynska","first_name":"Sophie"},{"first_name":"Maura","last_name":"Paterson","full_name":"Paterson, Maura"}],"year":"2025","page":"36","citation":{"ama":"Klawuhn L-AD, Huczynska S, Paterson M. The Intersection Distribution: New Results and Perspectives. Published online 2025.","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.","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. The Intersection Distribution: New Results and Perspectives. 2025.","apa":"Klawuhn, L.-A. D., Huczynska, S., & Paterson, M. (2025). The Intersection Distribution: New Results and Perspectives."},"language":[{"iso":"eng"}],"_id":"61759","external_id":{"arxiv":["2510.04675"]},"department":[{"_id":"100"}],"user_id":"91965","abstract":[{"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. ","lang":"eng"}],"status":"public","type":"preprint"},{"publication_status":"published","year":"2025","citation":{"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 2025 IEEE International Electric Machines & Drives Conference (IEMDC). IEEE, 2025. https://doi.org/10.1109/iemdc60492.2025.11061032.","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: 10.1109/iemdc60492.2025.11061032.","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: 2025 IEEE International Electric Machines & Drives Conference (IEMDC). IEEE; 2025. doi:10.1109/iemdc60492.2025.11061032","short":"M. Peña López, M. Schenke, D. Jakobeit, B. Haucke-Korber, O. Wallscheid, in: 2025 IEEE International Electric Machines & Drives Conference (IEMDC), IEEE, 2025.","bibtex":"@inproceedings{Peña López_Schenke_Jakobeit_Haucke-Korber_Wallscheid_2025, title={Reinforcement Learning Control of Three-Level Converter Permanent Magnet Synchronous Machine Drives}, DOI={10.1109/iemdc60492.2025.11061032}, booktitle={2025 IEEE International Electric Machines & Drives Conference (IEMDC)}, publisher={IEEE}, author={Peña López, Mario and Schenke, Maximilian and Jakobeit, Darius and Haucke-Korber, Barnabas and Wallscheid, Oliver}, year={2025} }","mla":"Peña López, Mario, et al. “Reinforcement Learning Control of Three-Level Converter Permanent Magnet Synchronous Machine Drives.” 2025 IEEE International Electric Machines & Drives Conference (IEMDC), IEEE, 2025, doi:10.1109/iemdc60492.2025.11061032.","apa":"Peña López, M., Schenke, M., Jakobeit, D., Haucke-Korber, B., & Wallscheid, O. (2025). Reinforcement Learning Control of Three-Level Converter Permanent Magnet Synchronous Machine Drives. 2025 IEEE International Electric Machines & Drives Conference (IEMDC). https://doi.org/10.1109/iemdc60492.2025.11061032"},"date_updated":"2025-12-19T12:43:37Z","publisher":"IEEE","date_created":"2025-07-25T12:26:05Z","author":[{"id":"82862","full_name":"Peña López, Mario","last_name":"Peña López","orcid":"0000-0001-5381-3660","first_name":"Mario"},{"id":"52638","full_name":"Schenke, Maximilian","orcid":"0000-0001-5427-9527","last_name":"Schenke","first_name":"Maximilian"},{"last_name":"Jakobeit","full_name":"Jakobeit, Darius","first_name":"Darius"},{"full_name":"Haucke-Korber, Barnabas","id":"93461","last_name":"Haucke-Korber","orcid":"0000-0003-0862-2069","first_name":"Barnabas"},{"first_name":"Oliver","id":"11291","full_name":"Wallscheid, Oliver","orcid":"https://orcid.org/0000-0001-9362-8777","last_name":"Wallscheid"}],"title":"Reinforcement Learning Control of Three-Level Converter Permanent Magnet Synchronous Machine Drives","doi":"10.1109/iemdc60492.2025.11061032","type":"conference","publication":"2025 IEEE International Electric Machines & Drives Conference (IEMDC)","status":"public","_id":"60744","user_id":"93461","department":[{"_id":"52"}],"language":[{"iso":"eng"}]},{"type":"preprint","abstract":[{"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.","lang":"eng"}],"status":"public","external_id":{"arxiv":["2512.16079"]},"_id":"63384","user_id":"91965","department":[{"_id":"100"}],"language":[{"iso":"eng"}],"year":"2025","citation":{"ama":"Devillers A, Giudici M, Hawtin DR, Klawuhn L-AD, Morgan L. Linear dimension of group actions. Published online 2025.","chicago":"Devillers, Alice, Michael Giudici, Daniel R. Hawtin, Lukas-André Dominik Klawuhn, and Luke Morgan. “Linear Dimension of Group Actions,” 2025.","ieee":"A. Devillers, M. Giudici, D. R. Hawtin, L.-A. D. Klawuhn, and L. Morgan, “Linear dimension of group actions.” 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} }","short":"A. Devillers, M. Giudici, D.R. Hawtin, L.-A.D. Klawuhn, L. Morgan, (2025).","mla":"Devillers, Alice, et al. Linear Dimension of Group Actions. 2025.","apa":"Devillers, A., Giudici, M., Hawtin, D. R., Klawuhn, L.-A. D., & Morgan, L. (2025). Linear dimension of group actions."},"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"},{"full_name":"Giudici, Michael","last_name":"Giudici","first_name":"Michael"},{"first_name":"Daniel R.","last_name":"Hawtin","full_name":"Hawtin, 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"}]