--- _id: '48994' author: - first_name: Dominik full_name: Höink, Dominik id: '90389' last_name: Höink citation: ama: Höink D. Komponierte Ambiguität. Ein anderer Blick auf polyphone Messen des 15. und 16. Jahrhunderts. Kirchenmusikalisches Jahrbuch. 2023;107:21-30. apa: Höink, D. (2023). Komponierte Ambiguität. Ein anderer Blick auf polyphone Messen des 15. und 16. Jahrhunderts. Kirchenmusikalisches Jahrbuch, 107, 21–30. bibtex: '@article{Höink_2023, title={Komponierte Ambiguität. Ein anderer Blick auf polyphone Messen des 15. und 16. Jahrhunderts}, volume={107}, journal={Kirchenmusikalisches Jahrbuch}, author={Höink, Dominik}, year={2023}, pages={21–30} }' chicago: 'Höink, Dominik. “Komponierte Ambiguität. Ein anderer Blick auf polyphone Messen des 15. und 16. Jahrhunderts.” Kirchenmusikalisches Jahrbuch 107 (2023): 21–30.' ieee: D. Höink, “Komponierte Ambiguität. Ein anderer Blick auf polyphone Messen des 15. und 16. Jahrhunderts,” Kirchenmusikalisches Jahrbuch, vol. 107, pp. 21–30, 2023. mla: Höink, Dominik. “Komponierte Ambiguität. Ein anderer Blick auf polyphone Messen des 15. und 16. Jahrhunderts.” Kirchenmusikalisches Jahrbuch, vol. 107, 2023, pp. 21–30. short: D. Höink, Kirchenmusikalisches Jahrbuch 107 (2023) 21–30. date_created: 2023-11-17T07:28:53Z date_updated: 2025-12-17T09:00:59Z department: - _id: '233' - _id: '716' intvolume: ' 107' language: - iso: ger page: 21-30 publication: Kirchenmusikalisches Jahrbuch publication_status: published status: public title: Komponierte Ambiguität. Ein anderer Blick auf polyphone Messen des 15. und 16. Jahrhunderts type: journal_article user_id: '90389' volume: 107 year: '2023' ... --- _id: '63168' author: - first_name: S full_name: Jablonski, S last_name: Jablonski - first_name: M full_name: Ludwig, M last_name: Ludwig citation: ama: Jablonski S, Ludwig M. Teaching and Learning of Geometry-A Literature Review on Current Developments in Theory and Practice. 2023;13(7). apa: Jablonski, S., & Ludwig, M. (2023). Teaching and Learning of Geometry-A Literature Review on Current Developments in Theory and Practice. 13(7). bibtex: '@article{Jablonski_Ludwig_2023, title={Teaching and Learning of Geometry-A Literature Review on Current Developments in Theory and Practice}, volume={13}, number={7}, author={Jablonski, S and Ludwig, M}, year={2023} }' chicago: Jablonski, S, and M Ludwig. “Teaching and Learning of Geometry-A Literature Review on Current Developments in Theory and Practice” 13, no. 7 (2023). ieee: S. Jablonski and M. Ludwig, “Teaching and Learning of Geometry-A Literature Review on Current Developments in Theory and Practice,” vol. 13, no. 7, 2023. mla: Jablonski, S., and M. Ludwig. Teaching and Learning of Geometry-A Literature Review on Current Developments in Theory and Practice. no. 7, 2023. short: S. Jablonski, M. Ludwig, 13 (2023). date_created: 2025-12-17T08:53:33Z date_updated: 2025-12-17T08:56:40Z intvolume: ' 13' issue: '7' publication_identifier: issn: - 2227-7102 publication_status: published quality_controlled: '1' status: public title: Teaching and Learning of Geometry-A Literature Review on Current Developments in Theory and Practice type: journal_article user_id: '111489' volume: 13 year: '2023' ... --- _id: '63171' author: - first_name: S full_name: Jablonski, S last_name: Jablonski - first_name: S full_name: Barlovits, S last_name: Barlovits - first_name: M full_name: Ludwig, M last_name: Ludwig citation: ama: Jablonski S, Barlovits S, Ludwig M. How digital tools support the validation of outdoor modelling results. 2023;8. apa: Jablonski, S., Barlovits, S., & Ludwig, M. (2023). How digital tools support the validation of outdoor modelling results. 8. bibtex: '@article{Jablonski_Barlovits_Ludwig_2023, title={How digital tools support the validation of outdoor modelling results}, volume={8}, author={Jablonski, S and Barlovits, S and Ludwig, M}, year={2023} }' chicago: Jablonski, S, S Barlovits, and M Ludwig. “How Digital Tools Support the Validation of Outdoor Modelling Results” 8 (2023). ieee: S. Jablonski, S. Barlovits, and M. Ludwig, “How digital tools support the validation of outdoor modelling results,” vol. 8, 2023. mla: Jablonski, S., et al. How Digital Tools Support the Validation of Outdoor Modelling Results. 2023. short: S. Jablonski, S. Barlovits, M. Ludwig, 8 (2023). date_created: 2025-12-17T08:53:33Z date_updated: 2025-12-17T08:56:45Z intvolume: ' 8' publication_identifier: issn: - 2504-284X publication_status: published quality_controlled: '1' status: public title: How digital tools support the validation of outdoor modelling results type: journal_article user_id: '111489' volume: 8 year: '2023' ... --- _id: '63196' author: - first_name: Claudia full_name: Decker, Claudia id: '31046' last_name: Decker - first_name: Petra full_name: Westphal, Petra id: '42377' last_name: Westphal citation: ama: 'Decker C, Westphal P. Gendersensible Bildung als ein Thema von vielen im Lehramtsstudium: Das Profil Umgang mit Heterogenität als freiwillige Zusatzqualifikation. In: ; 2023.' apa: 'Decker, C., & Westphal, P. (2023). Gendersensible Bildung als ein Thema von vielen im Lehramtsstudium: Das Profil Umgang mit Heterogenität als freiwillige Zusatzqualifikation. Geschlechtersensible Bildung im Lehramtsstudium in NRW, Soest.' bibtex: '@inproceedings{Decker_Westphal_2023, title={Gendersensible Bildung als ein Thema von vielen im Lehramtsstudium: Das Profil Umgang mit Heterogenität als freiwillige Zusatzqualifikation}, author={Decker, Claudia and Westphal, Petra}, year={2023} }' chicago: 'Decker, Claudia, and Petra Westphal. “Gendersensible Bildung Als Ein Thema von Vielen Im Lehramtsstudium: Das Profil Umgang Mit Heterogenität Als Freiwillige Zusatzqualifikation,” 2023.' ieee: 'C. Decker and P. Westphal, “Gendersensible Bildung als ein Thema von vielen im Lehramtsstudium: Das Profil Umgang mit Heterogenität als freiwillige Zusatzqualifikation,” presented at the Geschlechtersensible Bildung im Lehramtsstudium in NRW, Soest, 2023.' mla: 'Decker, Claudia, and Petra Westphal. Gendersensible Bildung Als Ein Thema von Vielen Im Lehramtsstudium: Das Profil Umgang Mit Heterogenität Als Freiwillige Zusatzqualifikation. 2023.' short: 'C. Decker, P. Westphal, in: 2023.' conference: location: Soest name: Geschlechtersensible Bildung im Lehramtsstudium in NRW start_date: 11.11.2023 date_created: 2025-12-18T10:49:37Z date_updated: 2025-12-18T10:49:44Z department: - _id: '33' language: - iso: eng status: public title: 'Gendersensible Bildung als ein Thema von vielen im Lehramtsstudium: Das Profil Umgang mit Heterogenität als freiwillige Zusatzqualifikation' type: conference user_id: '31046' year: '2023' ... --- _id: '44081' article_number: '020306' author: - first_name: Laura full_name: Serino, Laura id: '88242' last_name: Serino - first_name: Jano full_name: Gil López, Jano id: '51223' last_name: Gil López - first_name: Michael full_name: Stefszky, Michael id: '42777' last_name: Stefszky - first_name: Raimund full_name: Ricken, Raimund last_name: Ricken - first_name: Christof full_name: Eigner, Christof id: '13244' last_name: Eigner orcid: https://orcid.org/0000-0002-5693-3083 - first_name: Benjamin full_name: Brecht, Benjamin id: '27150' last_name: Brecht orcid: '0000-0003-4140-0556 ' - first_name: Christine full_name: Silberhorn, Christine id: '26263' last_name: Silberhorn citation: ama: Serino L, Gil López J, Stefszky M, et al. Realization of a Multi-Output Quantum Pulse Gate for Decoding High-Dimensional Temporal Modes of Single-Photon States. PRX Quantum. 2023;4(2). doi:10.1103/prxquantum.4.020306 apa: Serino, L., Gil López, J., Stefszky, M., Ricken, R., Eigner, C., Brecht, B., & Silberhorn, C. (2023). Realization of a Multi-Output Quantum Pulse Gate for Decoding High-Dimensional Temporal Modes of Single-Photon States. PRX Quantum, 4(2), Article 020306. https://doi.org/10.1103/prxquantum.4.020306 bibtex: '@article{Serino_Gil López_Stefszky_Ricken_Eigner_Brecht_Silberhorn_2023, title={Realization of a Multi-Output Quantum Pulse Gate for Decoding High-Dimensional Temporal Modes of Single-Photon States}, volume={4}, DOI={10.1103/prxquantum.4.020306}, number={2020306}, journal={PRX Quantum}, publisher={American Physical Society (APS)}, author={Serino, Laura and Gil López, Jano and Stefszky, Michael and Ricken, Raimund and Eigner, Christof and Brecht, Benjamin and Silberhorn, Christine}, year={2023} }' chicago: Serino, Laura, Jano Gil López, Michael Stefszky, Raimund Ricken, Christof Eigner, Benjamin Brecht, and Christine Silberhorn. “Realization of a Multi-Output Quantum Pulse Gate for Decoding High-Dimensional Temporal Modes of Single-Photon States.” PRX Quantum 4, no. 2 (2023). https://doi.org/10.1103/prxquantum.4.020306. ieee: 'L. Serino et al., “Realization of a Multi-Output Quantum Pulse Gate for Decoding High-Dimensional Temporal Modes of Single-Photon States,” PRX Quantum, vol. 4, no. 2, Art. no. 020306, 2023, doi: 10.1103/prxquantum.4.020306.' mla: Serino, Laura, et al. “Realization of a Multi-Output Quantum Pulse Gate for Decoding High-Dimensional Temporal Modes of Single-Photon States.” PRX Quantum, vol. 4, no. 2, 020306, American Physical Society (APS), 2023, doi:10.1103/prxquantum.4.020306. short: L. Serino, J. Gil López, M. Stefszky, R. Ricken, C. Eigner, B. Brecht, C. Silberhorn, PRX Quantum 4 (2023). date_created: 2023-04-20T12:38:23Z date_updated: 2025-12-18T16:15:18Z department: - _id: '288' - _id: '623' - _id: '15' doi: 10.1103/prxquantum.4.020306 intvolume: ' 4' issue: '2' keyword: - General Physics and Astronomy - Mathematical Physics - Applied Mathematics - Electronic - Optical and Magnetic Materials - Electrical and Electronic Engineering - General Computer Science language: - iso: eng publication: PRX Quantum publication_identifier: issn: - 2691-3399 publication_status: published publisher: American Physical Society (APS) status: public title: Realization of a Multi-Output Quantum Pulse Gate for Decoding High-Dimensional Temporal Modes of Single-Photon States type: journal_article user_id: '27150' volume: 4 year: '2023' ... --- _id: '63231' abstract: - lang: eng text: "\r\n A QCM-D probes the temperature- and concentration-dependent complex high-frequency viscosity and provides information on protein-protein interactions in solutions of monoclonal antibodies." author: - first_name: Emily full_name: Rott, Emily last_name: Rott - first_name: Christian full_name: Leppin, Christian id: '117722' last_name: Leppin - first_name: Tim full_name: Diederichs, Tim last_name: Diederichs - first_name: Patrick full_name: Garidel, Patrick last_name: Garidel - first_name: Diethelm full_name: Johannsmann, Diethelm last_name: Johannsmann citation: ama: Rott E, Leppin C, Diederichs T, Garidel P, Johannsmann D. Protein–protein interactions in solutions of monoclonal antibodies probed by the dependence of the high-frequency viscosity on temperature and concentration. The Analyst. 2023;148(8):1887-1897. doi:10.1039/d3an00076a apa: Rott, E., Leppin, C., Diederichs, T., Garidel, P., & Johannsmann, D. (2023). Protein–protein interactions in solutions of monoclonal antibodies probed by the dependence of the high-frequency viscosity on temperature and concentration. The Analyst, 148(8), 1887–1897. https://doi.org/10.1039/d3an00076a bibtex: '@article{Rott_Leppin_Diederichs_Garidel_Johannsmann_2023, title={Protein–protein interactions in solutions of monoclonal antibodies probed by the dependence of the high-frequency viscosity on temperature and concentration}, volume={148}, DOI={10.1039/d3an00076a}, number={8}, journal={The Analyst}, publisher={Royal Society of Chemistry (RSC)}, author={Rott, Emily and Leppin, Christian and Diederichs, Tim and Garidel, Patrick and Johannsmann, Diethelm}, year={2023}, pages={1887–1897} }' chicago: 'Rott, Emily, Christian Leppin, Tim Diederichs, Patrick Garidel, and Diethelm Johannsmann. “Protein–Protein Interactions in Solutions of Monoclonal Antibodies Probed by the Dependence of the High-Frequency Viscosity on Temperature and Concentration.” The Analyst 148, no. 8 (2023): 1887–97. https://doi.org/10.1039/d3an00076a.' ieee: 'E. Rott, C. Leppin, T. Diederichs, P. Garidel, and D. Johannsmann, “Protein–protein interactions in solutions of monoclonal antibodies probed by the dependence of the high-frequency viscosity on temperature and concentration,” The Analyst, vol. 148, no. 8, pp. 1887–1897, 2023, doi: 10.1039/d3an00076a.' mla: Rott, Emily, et al. “Protein–Protein Interactions in Solutions of Monoclonal Antibodies Probed by the Dependence of the High-Frequency Viscosity on Temperature and Concentration.” The Analyst, vol. 148, no. 8, Royal Society of Chemistry (RSC), 2023, pp. 1887–97, doi:10.1039/d3an00076a. short: E. Rott, C. Leppin, T. Diederichs, P. Garidel, D. Johannsmann, The Analyst 148 (2023) 1887–1897. date_created: 2025-12-18T17:06:08Z date_updated: 2025-12-18T17:38:31Z doi: 10.1039/d3an00076a intvolume: ' 148' issue: '8' language: - iso: eng page: 1887-1897 publication: The Analyst publication_identifier: issn: - 0003-2654 - 1364-5528 publication_status: published publisher: Royal Society of Chemistry (RSC) quality_controlled: '1' status: public title: Protein–protein interactions in solutions of monoclonal antibodies probed by the dependence of the high-frequency viscosity on temperature and concentration type: journal_article user_id: '117722' volume: 148 year: '2023' ... --- _id: '63228' abstract: - lang: eng text: AbstractA simulation based on the frequency‐domain lattice Boltzmann method (FreqD‐LBM) is employed to predict the shifts of resonance frequency, Δf, and half bandwidth, ΔΓ, of a quartz crystal microbalance with dissipation monitoring (QCM‐D) induced by the adsorption of rigid spheres to the resonator surface. The comparison with the experimental values of Δf and ΔΓ allows to estimate the stiffness of the contacts between the spheres and the resonator surface. The contact stiffness is of interest in contact mechanics, but also in sensing because it depends on the properties of thin films situated between the resonator surface and the sphere. The simulation differs from previous implementations of FreqD‐LBM insofar, as the material inside the particles is not included in the FreqD‐LBM algorithm. Rather, the particle surface is configured to be an oscillating boundary. The amplitude of the particles' motions (displacement and rotation) is governed by the force balance at the surface of the particle. Because the contact stiffness enters this balance, it can be derived from experimental values of Δf and ΔΓ. The simulation reproduces experiments by the Krakow group. For sufficiently small spheres, a contact stiffness can be derived from the comparison of the simulation with the experiment. article_number: '2300190' article_type: original author: - first_name: Diethelm full_name: Johannsmann, Diethelm last_name: Johannsmann - first_name: Christian full_name: Leppin, Christian id: '117722' last_name: Leppin - first_name: Arne full_name: Langhoff, Arne last_name: Langhoff citation: ama: Johannsmann D, Leppin C, Langhoff A. Stiffness of Contacts between Adsorbed Particles and the Surface of a QCM‐D Inferred from the Adsorption Kinetics and a Frequency‐Domain Lattice Boltzmann Simulation. Advanced Theory and Simulations. 2023;6(11). doi:10.1002/adts.202300190 apa: Johannsmann, D., Leppin, C., & Langhoff, A. (2023). Stiffness of Contacts between Adsorbed Particles and the Surface of a QCM‐D Inferred from the Adsorption Kinetics and a Frequency‐Domain Lattice Boltzmann Simulation. Advanced Theory and Simulations, 6(11), Article 2300190. https://doi.org/10.1002/adts.202300190 bibtex: '@article{Johannsmann_Leppin_Langhoff_2023, title={Stiffness of Contacts between Adsorbed Particles and the Surface of a QCM‐D Inferred from the Adsorption Kinetics and a Frequency‐Domain Lattice Boltzmann Simulation}, volume={6}, DOI={10.1002/adts.202300190}, number={112300190}, journal={Advanced Theory and Simulations}, publisher={Wiley}, author={Johannsmann, Diethelm and Leppin, Christian and Langhoff, Arne}, year={2023} }' chicago: Johannsmann, Diethelm, Christian Leppin, and Arne Langhoff. “Stiffness of Contacts between Adsorbed Particles and the Surface of a QCM‐D Inferred from the Adsorption Kinetics and a Frequency‐Domain Lattice Boltzmann Simulation.” Advanced Theory and Simulations 6, no. 11 (2023). https://doi.org/10.1002/adts.202300190. ieee: 'D. Johannsmann, C. Leppin, and A. Langhoff, “Stiffness of Contacts between Adsorbed Particles and the Surface of a QCM‐D Inferred from the Adsorption Kinetics and a Frequency‐Domain Lattice Boltzmann Simulation,” Advanced Theory and Simulations, vol. 6, no. 11, Art. no. 2300190, 2023, doi: 10.1002/adts.202300190.' mla: Johannsmann, Diethelm, et al. “Stiffness of Contacts between Adsorbed Particles and the Surface of a QCM‐D Inferred from the Adsorption Kinetics and a Frequency‐Domain Lattice Boltzmann Simulation.” Advanced Theory and Simulations, vol. 6, no. 11, 2300190, Wiley, 2023, doi:10.1002/adts.202300190. short: D. Johannsmann, C. Leppin, A. Langhoff, Advanced Theory and Simulations 6 (2023). date_created: 2025-12-18T17:03:12Z date_updated: 2025-12-18T17:41:08Z doi: 10.1002/adts.202300190 extern: '1' intvolume: ' 6' issue: '11' language: - iso: eng publication: Advanced Theory and Simulations publication_identifier: issn: - 2513-0390 - 2513-0390 publication_status: published publisher: Wiley quality_controlled: '1' status: public title: Stiffness of Contacts between Adsorbed Particles and the Surface of a QCM‐D Inferred from the Adsorption Kinetics and a Frequency‐Domain Lattice Boltzmann Simulation type: journal_article user_id: '117722' volume: 6 year: '2023' ... --- _id: '63230' abstract: - lang: eng text: Quartz crystal microbalance with dissipation monitoring (QCM-D) is a well-established technique for studying soft films. It can provide gravimetric as well as nongravimetric information about a film, such as its thickness and mechanical properties. The interpretation of sets of overtone-normalized frequency shifts, ∆f/n, and overtone-normalized shifts in half-bandwidth, ΔΓ/n, provided by QCM-D relies on a model that, in general, contains five independent parameters that are needed to describe film thickness and frequency-dependent viscoelastic properties. Here, we examine how noise inherent in experimental data affects the determination of these parameters. There are certain conditions where noise prevents the reliable determination of film thickness and the loss tangent. On the other hand, we show that there are conditions where it is possible to determine all five parameters. We relate these conditions to the mathematical properties of the model in terms of simple conceptual diagrams that can help users understand the model’s behavior. Finally, we present new open source software for QCM-D data analysis written in Python, PyQTM. article_number: '1348' author: - first_name: Diethelm full_name: Johannsmann, Diethelm last_name: Johannsmann - first_name: Arne full_name: Langhoff, Arne last_name: Langhoff - first_name: Christian full_name: Leppin, Christian id: '117722' last_name: Leppin - first_name: Ilya full_name: Reviakine, Ilya last_name: Reviakine - first_name: Anna M. C. full_name: Maan, Anna M. C. last_name: Maan citation: ama: Johannsmann D, Langhoff A, Leppin C, Reviakine I, Maan AMC. Effect of Noise on Determining Ultrathin-Film Parameters from QCM-D Data with the Viscoelastic Model. Sensors. 2023;23(3). doi:10.3390/s23031348 apa: Johannsmann, D., Langhoff, A., Leppin, C., Reviakine, I., & Maan, A. M. C. (2023). Effect of Noise on Determining Ultrathin-Film Parameters from QCM-D Data with the Viscoelastic Model. Sensors, 23(3), Article 1348. https://doi.org/10.3390/s23031348 bibtex: '@article{Johannsmann_Langhoff_Leppin_Reviakine_Maan_2023, title={Effect of Noise on Determining Ultrathin-Film Parameters from QCM-D Data with the Viscoelastic Model}, volume={23}, DOI={10.3390/s23031348}, number={31348}, journal={Sensors}, publisher={MDPI AG}, author={Johannsmann, Diethelm and Langhoff, Arne and Leppin, Christian and Reviakine, Ilya and Maan, Anna M. C.}, year={2023} }' chicago: Johannsmann, Diethelm, Arne Langhoff, Christian Leppin, Ilya Reviakine, and Anna M. C. Maan. “Effect of Noise on Determining Ultrathin-Film Parameters from QCM-D Data with the Viscoelastic Model.” Sensors 23, no. 3 (2023). https://doi.org/10.3390/s23031348. ieee: 'D. Johannsmann, A. Langhoff, C. Leppin, I. Reviakine, and A. M. C. Maan, “Effect of Noise on Determining Ultrathin-Film Parameters from QCM-D Data with the Viscoelastic Model,” Sensors, vol. 23, no. 3, Art. no. 1348, 2023, doi: 10.3390/s23031348.' mla: Johannsmann, Diethelm, et al. “Effect of Noise on Determining Ultrathin-Film Parameters from QCM-D Data with the Viscoelastic Model.” Sensors, vol. 23, no. 3, 1348, MDPI AG, 2023, doi:10.3390/s23031348. short: D. Johannsmann, A. Langhoff, C. Leppin, I. Reviakine, A.M.C. Maan, Sensors 23 (2023). date_created: 2025-12-18T17:05:00Z date_updated: 2025-12-18T17:39:52Z doi: 10.3390/s23031348 extern: '1' intvolume: ' 23' issue: '3' language: - iso: eng publication: Sensors publication_identifier: issn: - 1424-8220 publication_status: published publisher: MDPI AG quality_controlled: '1' status: public title: Effect of Noise on Determining Ultrathin-Film Parameters from QCM-D Data with the Viscoelastic Model type: journal_article user_id: '117722' volume: 23 year: '2023' ... --- _id: '63229' article_number: '106219' author: - first_name: Diethelm full_name: Johannsmann, Diethelm last_name: Johannsmann - first_name: Judith full_name: Petri, Judith last_name: Petri - first_name: Christian full_name: Leppin, Christian id: '117722' last_name: Leppin - first_name: Arne full_name: Langhoff, Arne last_name: Langhoff - first_name: Hozan full_name: Ibrahim, Hozan last_name: Ibrahim citation: ama: Johannsmann D, Petri J, Leppin C, Langhoff A, Ibrahim H. Particle fouling at hot reactor walls monitored In situ with a QCM-D and modeled with the frequency-domain lattice Boltzmann method. Results in Physics. 2023;45. doi:10.1016/j.rinp.2023.106219 apa: Johannsmann, D., Petri, J., Leppin, C., Langhoff, A., & Ibrahim, H. (2023). Particle fouling at hot reactor walls monitored In situ with a QCM-D and modeled with the frequency-domain lattice Boltzmann method. Results in Physics, 45, Article 106219. https://doi.org/10.1016/j.rinp.2023.106219 bibtex: '@article{Johannsmann_Petri_Leppin_Langhoff_Ibrahim_2023, title={Particle fouling at hot reactor walls monitored In situ with a QCM-D and modeled with the frequency-domain lattice Boltzmann method}, volume={45}, DOI={10.1016/j.rinp.2023.106219}, number={106219}, journal={Results in Physics}, publisher={Elsevier BV}, author={Johannsmann, Diethelm and Petri, Judith and Leppin, Christian and Langhoff, Arne and Ibrahim, Hozan}, year={2023} }' chicago: Johannsmann, Diethelm, Judith Petri, Christian Leppin, Arne Langhoff, and Hozan Ibrahim. “Particle Fouling at Hot Reactor Walls Monitored In Situ with a QCM-D and Modeled with the Frequency-Domain Lattice Boltzmann Method.” Results in Physics 45 (2023). https://doi.org/10.1016/j.rinp.2023.106219. ieee: 'D. Johannsmann, J. Petri, C. Leppin, A. Langhoff, and H. Ibrahim, “Particle fouling at hot reactor walls monitored In situ with a QCM-D and modeled with the frequency-domain lattice Boltzmann method,” Results in Physics, vol. 45, Art. no. 106219, 2023, doi: 10.1016/j.rinp.2023.106219.' mla: Johannsmann, Diethelm, et al. “Particle Fouling at Hot Reactor Walls Monitored In Situ with a QCM-D and Modeled with the Frequency-Domain Lattice Boltzmann Method.” Results in Physics, vol. 45, 106219, Elsevier BV, 2023, doi:10.1016/j.rinp.2023.106219. short: D. Johannsmann, J. Petri, C. Leppin, A. Langhoff, H. Ibrahim, Results in Physics 45 (2023). date_created: 2025-12-18T17:04:13Z date_updated: 2025-12-18T17:40:25Z doi: 10.1016/j.rinp.2023.106219 extern: '1' intvolume: ' 45' language: - iso: eng publication: Results in Physics publication_identifier: issn: - 2211-3797 publication_status: published publisher: Elsevier BV status: public title: Particle fouling at hot reactor walls monitored In situ with a QCM-D and modeled with the frequency-domain lattice Boltzmann method type: journal_article user_id: '117722' volume: 45 year: '2023' ... --- _id: '63285' author: - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: Winkler M. Absence of collapse into persistent Dirac-type singularities in a Keller-Segel-Navier-Stokes system involving local sensing. Advances in Differential Equations. 2023;28(11/12). doi:10.57262/ade028-1112-921 apa: Winkler, M. (2023). Absence of collapse into persistent Dirac-type singularities in a Keller-Segel-Navier-Stokes system involving local sensing. Advances in Differential Equations, 28(11/12). https://doi.org/10.57262/ade028-1112-921 bibtex: '@article{Winkler_2023, title={Absence of collapse into persistent Dirac-type singularities in a Keller-Segel-Navier-Stokes system involving local sensing}, volume={28}, DOI={10.57262/ade028-1112-921}, number={11/12}, journal={Advances in Differential Equations}, publisher={Khayyam Publishing, Inc}, author={Winkler, Michael}, year={2023} }' chicago: Winkler, Michael. “Absence of Collapse into Persistent Dirac-Type Singularities in a Keller-Segel-Navier-Stokes System Involving Local Sensing.” Advances in Differential Equations 28, no. 11/12 (2023). https://doi.org/10.57262/ade028-1112-921. ieee: 'M. Winkler, “Absence of collapse into persistent Dirac-type singularities in a Keller-Segel-Navier-Stokes system involving local sensing,” Advances in Differential Equations, vol. 28, no. 11/12, 2023, doi: 10.57262/ade028-1112-921.' mla: Winkler, Michael. “Absence of Collapse into Persistent Dirac-Type Singularities in a Keller-Segel-Navier-Stokes System Involving Local Sensing.” Advances in Differential Equations, vol. 28, no. 11/12, Khayyam Publishing, Inc, 2023, doi:10.57262/ade028-1112-921. short: M. Winkler, Advances in Differential Equations 28 (2023). date_created: 2025-12-18T19:18:31Z date_updated: 2025-12-18T20:07:12Z doi: 10.57262/ade028-1112-921 intvolume: ' 28' issue: 11/12 language: - iso: eng publication: Advances in Differential Equations publication_identifier: issn: - 1079-9389 publication_status: published publisher: Khayyam Publishing, Inc status: public title: Absence of collapse into persistent Dirac-type singularities in a Keller-Segel-Navier-Stokes system involving local sensing type: journal_article user_id: '31496' volume: 28 year: '2023' ... --- _id: '63288' abstract: - lang: eng text: "Abstract\r\n The Cauchy problem in \r\n \r\n \r\n \ \r\n \ \r\n \r\n \ R\r\n \ \r\n \r\n \ n\r\n \r\n \ \r\n \r\n \ {{\\mathbb{R}}}^{n}\r\n \ \r\n , \r\n \r\n \r\n \ \r\n \ n\r\n ≥\r\n \ 2\r\n \r\n \ n\\ge 2\r\n \r\n \ , for \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 u\r\n \ \r\n \r\n \ t\r\n \r\n \ \r\n =\r\n \ Δ\r\n \ u\r\n −\r\n \ \r\n ∇\r\n \ \r\n ⋅\r\n \ \r\n (\r\n \ \r\n u\r\n \ S\r\n ⋅\r\n \ \r\n ∇\r\n \ \r\n v\r\n \ \r\n )\r\n \ \r\n ,\r\n \ \r\n \r\n \ \r\n \r\n 0\r\n \ =\r\n Δ\r\n v\r\n \ +\r\n u\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 \r\n \ \r\n \r\n \ \r\n \\begin{array}{r}\\left\\{\\phantom{\\rule[-1.25em]{}{0ex}}\\begin{array}{l}{u}_{t}=\\Delta u-\\nabla \\cdot \\left(uS\\cdot \\nabla v),\\\\ 0=\\Delta v+u,\\end{array}\\right.\\hspace{2.0em}\\hspace{2.0em}\\hspace{2.0em}\\left(\\star )\\end{array}\r\n \r\n \ is considered for general matrices \r\n \ \r\n \r\n \ \r\n \ S\r\n ∈\r\n \ \r\n \r\n \ R\r\n \ \r\n \r\n \ n\r\n ×\r\n \ n\r\n \r\n \ \r\n \r\n \ S\\in {{\\mathbb{R}}}^{n\\times n}\r\n \ \r\n . A theory of local-in-time classical existence and extensibility is developed in a framework that differs from those considered in large parts of the literature by involving bounded classical solutions. Specifically, it is shown that for all non-negative initial data belonging to \r\n \r\n \ \r\n \r\n BUC\r\n \r\n (\r\n \ \r\n \r\n \ \r\n R\r\n \r\n \ \r\n n\r\n \ \r\n \r\n \ \r\n )\r\n \ \r\n ∩\r\n \ \r\n \r\n \ L\r\n \r\n \ \r\n p\r\n \ \r\n \r\n \ \r\n (\r\n \ \r\n \r\n \ \r\n R\r\n \r\n \ \r\n n\r\n \ \r\n \r\n \ \r\n )\r\n \ \r\n \r\n \ {\\rm{BUC}}\\left({{\\mathbb{R}}}^{n})\\cap {L}^{p}\\left({{\\mathbb{R}}}^{n})\r\n \r\n \ with some \r\n \r\n \ \r\n \r\n p\r\n \ ∈\r\n \r\n \ [\r\n \r\n \ 1\r\n ,\r\n \ n\r\n \r\n \ )\r\n \r\n \ \r\n p\\in \\left[1,n)\r\n \r\n , there exist \r\n \r\n \ \r\n \r\n \r\n \ \r\n T\r\n \ \r\n \r\n \ max\r\n \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 \ {T}_{\\max }\\in \\left(0,\\infty ]\r\n \ \r\n and a uniquely determined \r\n \r\n \ \r\n \r\n u\r\n \ ∈\r\n \r\n \ \r\n C\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 0\r\n \ ,\r\n \r\n \ \r\n T\r\n \ \r\n \r\n \ max\r\n \r\n \ \r\n \r\n \ )\r\n \r\n \ ;\r\n \r\n BUC\r\n \ \r\n (\r\n \ \r\n \r\n \ \r\n R\r\n \r\n \ \r\n 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 C\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 0\r\n \ ,\r\n \r\n \ \r\n T\r\n \ \r\n \r\n \ max\r\n \r\n \ \r\n \r\n \ )\r\n \r\n \ ;\r\n \r\n \r\n \r\n \ L\r\n \r\n \ \r\n p\r\n \ \r\n \r\n \ \r\n (\r\n \ \r\n \r\n \ \r\n R\r\n \r\n \ \r\n 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 C\r\n \ \r\n \r\n \ ∞\r\n \r\n \ \r\n \r\n \ (\r\n \r\n \ \r\n \r\n \ R\r\n \ \r\n \r\n \ n\r\n \r\n \ \r\n ×\r\n \ \r\n (\r\n \ \r\n 0\r\n \ ,\r\n \r\n \ \r\n T\r\n \ \r\n \r\n \ max\r\n \r\n \ \r\n \r\n \ )\r\n \r\n \ \r\n )\r\n \ \r\n \r\n \ u\\in {C}^{0}\\left(\\left[0,{T}_{\\max });\\hspace{0.33em}{\\rm{BUC}}\\left({{\\mathbb{R}}}^{n}))\\cap {C}^{0}\\left(\\left[0,{T}_{\\max });\\hspace{0.33em}{L}^{p}\\left({{\\mathbb{R}}}^{n}))\\cap {C}^{\\infty }\\left({{\\mathbb{R}}}^{n}\\times \\left(0,{T}_{\\max }))\r\n \r\n \ such that with \r\n \ \r\n \r\n \ \r\n \ v\r\n ≔\r\n \ Γ\r\n ⋆\r\n \ u\r\n \r\n \ v:= \\Gamma \\star u\r\n \ \r\n , and with \r\n \r\n \ \r\n \r\n Γ\r\n \r\n \\Gamma \r\n \r\n denoting the Newtonian kernel on \r\n \r\n \ \r\n \r\n \r\n \ \r\n R\r\n \r\n \ \r\n n\r\n \ \r\n \r\n \ \r\n {{\\mathbb{R}}}^{n}\r\n \ \r\n , the pair \r\n \r\n \ \r\n \r\n \r\n \ (\r\n \r\n \ u\r\n ,\r\n \ v\r\n \r\n \ )\r\n \r\n \ \r\n \\left(u,v)\r\n \ \r\n forms a classical solution of (\r\n \r\n \ \r\n \r\n ⋆\r\n \ \r\n \\star \r\n \r\n ) in \r\n \r\n \r\n \ \r\n \ \r\n \r\n \ R\r\n \ \r\n \r\n \ n\r\n \r\n \ \r\n ×\r\n \ \r\n (\r\n \ \r\n 0\r\n \ ,\r\n \r\n \ \r\n T\r\n \ \r\n \r\n \ max\r\n \r\n \ \r\n \r\n \ )\r\n \r\n \ \r\n {{\\mathbb{R}}}^{n}\\times \\left(0,{T}_{\\max })\r\n \r\n \ , which has the property that \r\n \r\n \ \r\n \r\n \r\n if\r\n \r\n \r\n \ \r\n \r\n \ T\r\n \r\n \ \r\n max\r\n \ \r\n \r\n \ <\r\n ∞\r\n \ ,\r\n \r\n \r\n \r\n then both\r\n \ \r\n \r\n \ \r\n \r\n \ \r\n limsup\r\n \ \r\n \r\n \ t\r\n ↗\r\n \ \r\n \r\n \ T\r\n \r\n \ \r\n max\r\n \ \r\n \r\n \ \r\n \r\n \ \r\n \r\n \ ‖\r\n u\r\n \ \r\n (\r\n \ \r\n ⋅\r\n \ ,\r\n t\r\n \ \r\n )\r\n \ \r\n ‖\r\n \ \r\n \r\n \ \r\n \r\n \ L\r\n \r\n \ \r\n ∞\r\n \ \r\n \r\n \ \r\n (\r\n \ \r\n \r\n \ \r\n R\r\n \r\n \ \r\n 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 \ and\r\n \r\n \r\n \ \r\n \r\n \ limsup\r\n \r\n \ \r\n t\r\n \ ↗\r\n \r\n \ \r\n T\r\n \ \r\n \r\n \ max\r\n \r\n \ \r\n \r\n \ \r\n \r\n \ \r\n ‖\r\n \ \r\n ∇\r\n \ \r\n v\r\n \ \r\n (\r\n \ \r\n ⋅\r\n \ ,\r\n t\r\n \ \r\n )\r\n \ \r\n ‖\r\n \ \r\n \r\n \ \r\n \r\n \ L\r\n \r\n \ \r\n ∞\r\n \ \r\n \r\n \ \r\n (\r\n \ \r\n \r\n \ \r\n R\r\n \r\n \ \r\n 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 \\hspace{0.1em}\\text{if}\\hspace{0.1em}\\hspace{0.33em}{T}_{\\max }\\lt \\infty ,\\hspace{1.0em}\\hspace{0.1em}\\text{then both}\\hspace{0.1em}\\hspace{0.33em}\\mathop{\\mathrm{limsup}}\\limits_{t\\nearrow {T}_{\\max }}\\Vert u\\left(\\cdot ,t){\\Vert }_{{L}^{\\infty }\\left({{\\mathbb{R}}}^{n})}=\\infty \\hspace{1.0em}\\hspace{0.1em}\\text{and}\\hspace{0.1em}\\hspace{1.0em}\\mathop{\\mathrm{limsup}}\\limits_{t\\nearrow {T}_{\\max }}\\Vert \\nabla v\\left(\\cdot ,t){\\Vert }_{{L}^{\\infty }\\left({{\\mathbb{R}}}^{n})}=\\infty .\r\n \r\n An exemplary application of this provides a result on global classical solvability in cases when \r\n \r\n \ \r\n \r\n ∣\r\n \ S\r\n +\r\n \ 1\r\n ∣\r\n \ \r\n | S+{\\bf{1}}| \r\n \r\n \ is sufficiently small, where \r\n \ \r\n \r\n \ \r\n \ 1\r\n =\r\n \ diag\r\n \r\n \r\n (\r\n \ \r\n 1\r\n \ ,\r\n \r\n \ …\r\n \r\n \ ,\r\n 1\r\n \ \r\n )\r\n \ \r\n \r\n \ {\\bf{1}}={\\rm{diag}}\\hspace{0.33em}\\left(1,\\ldots ,1)\r\n \r\n ." article_number: '20220578' author: - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: Winkler M. Classical solutions to Cauchy problems for parabolic–elliptic systems of Keller-Segel type. Open Mathematics. 2023;21(1). doi:10.1515/math-2022-0578 apa: Winkler, M. (2023). Classical solutions to Cauchy problems for parabolic–elliptic systems of Keller-Segel type. Open Mathematics, 21(1), Article 20220578. https://doi.org/10.1515/math-2022-0578 bibtex: '@article{Winkler_2023, title={Classical solutions to Cauchy problems for parabolic–elliptic systems of Keller-Segel type}, volume={21}, DOI={10.1515/math-2022-0578}, number={120220578}, journal={Open Mathematics}, publisher={Walter de Gruyter GmbH}, author={Winkler, Michael}, year={2023} }' chicago: Winkler, Michael. “Classical Solutions to Cauchy Problems for Parabolic–Elliptic Systems of Keller-Segel Type.” Open Mathematics 21, no. 1 (2023). https://doi.org/10.1515/math-2022-0578. ieee: 'M. Winkler, “Classical solutions to Cauchy problems for parabolic–elliptic systems of Keller-Segel type,” Open Mathematics, vol. 21, no. 1, Art. no. 20220578, 2023, doi: 10.1515/math-2022-0578.' mla: Winkler, Michael. “Classical Solutions to Cauchy Problems for Parabolic–Elliptic Systems of Keller-Segel Type.” Open Mathematics, vol. 21, no. 1, 20220578, Walter de Gruyter GmbH, 2023, doi:10.1515/math-2022-0578. short: M. Winkler, Open Mathematics 21 (2023). date_created: 2025-12-18T19:19:35Z date_updated: 2025-12-18T20:07:34Z doi: 10.1515/math-2022-0578 intvolume: ' 21' issue: '1' language: - iso: eng publication: Open Mathematics publication_identifier: issn: - 2391-5455 publication_status: published publisher: Walter de Gruyter GmbH status: public title: Classical solutions to Cauchy problems for parabolic–elliptic systems of Keller-Segel type type: journal_article user_id: '31496' volume: 21 year: '2023' ... --- _id: '63287' abstract: - lang: eng text: "AbstractThe Cauchy problem in

$$\\mathbb {R}^n$$

\r\n \ \r\n \r\n R\r\n \ \r\n n\r\n \ \r\n is considered for the Keller–Segel system

$$\\begin{aligned} \\left\\{ \\begin{array}{l}u_t = \\Delta u - \\nabla \\cdot (u\\nabla v), \\\\ 0 = \\Delta v + u, \\end{array} \\right. \\qquad \\qquad (\\star ) \\end{aligned}$$

\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 t\r\n \ \r\n =\r\n \ Δ\r\n u\r\n \ -\r\n ∇\r\n \ ·\r\n \r\n \ (\r\n u\r\n \ ∇\r\n v\r\n \ )\r\n \r\n \ ,\r\n \r\n \ \r\n \r\n \ \r\n \r\n \ \r\n \r\n \ 0\r\n =\r\n \ Δ\r\n v\r\n \ +\r\n u\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 \ \r\n \r\n \r\n \ with a focus on a detailed description of behavior in the presence of nonnegative radially symmetric initial data

$$u_0$$

\r\n \r\n \ u\r\n 0\r\n \ \r\n with non-integrable behavior at spatial infinity. It is shown that if

$$u_0$$

\r\n \r\n \ u\r\n 0\r\n \ \r\n is continuous and bounded, then (

$$\\star $$

\r\n \ ⋆\r\n ) admits a local-in-time classical solution, whereas if

$$u_0(x)\\rightarrow +\\infty $$

\r\n \ \r\n \r\n u\r\n \ 0\r\n \r\n \ \r\n (\r\n \ x\r\n )\r\n \ \r\n →\r\n \ +\r\n ∞\r\n \ \r\n as

$$|x|\\rightarrow \\infty $$

\r\n \ \r\n |\r\n x\r\n \ |\r\n →\r\n \ ∞\r\n \r\n , then no such solution can be found. Furthermore, a collection of three sufficient criteria for either global existence or global nonexistence indicates that with respect to the occurrence of finite-time blow-up, spatial decay properties of an explicit singular steady state plays a critical role. In particular, this underlines that explosions in (

$$\\star $$

\r\n \ ⋆\r\n ) need not be enforced by initially high concentrations near finite points, but can be exclusively due to large tails." author: - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: Winkler M. Solutions to the Keller–Segel system with non-integrable behavior at spatial infinity. Journal of Elliptic and Parabolic Equations. 2023;9(2):919-959. doi:10.1007/s41808-023-00230-y apa: Winkler, M. (2023). Solutions to the Keller–Segel system with non-integrable behavior at spatial infinity. Journal of Elliptic and Parabolic Equations, 9(2), 919–959. https://doi.org/10.1007/s41808-023-00230-y bibtex: '@article{Winkler_2023, title={Solutions to the Keller–Segel system with non-integrable behavior at spatial infinity}, volume={9}, DOI={10.1007/s41808-023-00230-y}, number={2}, journal={Journal of Elliptic and Parabolic Equations}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2023}, pages={919–959} }' chicago: 'Winkler, Michael. “Solutions to the Keller–Segel System with Non-Integrable Behavior at Spatial Infinity.” Journal of Elliptic and Parabolic Equations 9, no. 2 (2023): 919–59. https://doi.org/10.1007/s41808-023-00230-y.' ieee: 'M. Winkler, “Solutions to the Keller–Segel system with non-integrable behavior at spatial infinity,” Journal of Elliptic and Parabolic Equations, vol. 9, no. 2, pp. 919–959, 2023, doi: 10.1007/s41808-023-00230-y.' mla: Winkler, Michael. “Solutions to the Keller–Segel System with Non-Integrable Behavior at Spatial Infinity.” Journal of Elliptic and Parabolic Equations, vol. 9, no. 2, Springer Science and Business Media LLC, 2023, pp. 919–59, doi:10.1007/s41808-023-00230-y. short: M. Winkler, Journal of Elliptic and Parabolic Equations 9 (2023) 919–959. date_created: 2025-12-18T19:19:13Z date_updated: 2025-12-18T20:07:25Z doi: 10.1007/s41808-023-00230-y intvolume: ' 9' issue: '2' language: - iso: eng page: 919-959 publication: Journal of Elliptic and Parabolic Equations publication_identifier: issn: - 2296-9020 - 2296-9039 publication_status: published publisher: Springer Science and Business Media LLC status: public title: Solutions to the Keller–Segel system with non-integrable behavior at spatial infinity type: journal_article user_id: '31496' volume: 9 year: '2023' ... --- _id: '63289' author: - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler - first_name: Tomomi full_name: Yokota, Tomomi last_name: Yokota citation: ama: Winkler M, Yokota T. Avoiding critical mass phenomena by arbitrarily mild saturation of cross-diffusive fluxes in two-dimensional Keller-Segel-Navier-Stokes systems. Journal of Differential Equations. 2023;374:1-28. doi:10.1016/j.jde.2023.07.029 apa: Winkler, M., & Yokota, T. (2023). Avoiding critical mass phenomena by arbitrarily mild saturation of cross-diffusive fluxes in two-dimensional Keller-Segel-Navier-Stokes systems. Journal of Differential Equations, 374, 1–28. https://doi.org/10.1016/j.jde.2023.07.029 bibtex: '@article{Winkler_Yokota_2023, title={Avoiding critical mass phenomena by arbitrarily mild saturation of cross-diffusive fluxes in two-dimensional Keller-Segel-Navier-Stokes systems}, volume={374}, DOI={10.1016/j.jde.2023.07.029}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Winkler, Michael and Yokota, Tomomi}, year={2023}, pages={1–28} }' chicago: 'Winkler, Michael, and Tomomi Yokota. “Avoiding Critical Mass Phenomena by Arbitrarily Mild Saturation of Cross-Diffusive Fluxes in Two-Dimensional Keller-Segel-Navier-Stokes Systems.” Journal of Differential Equations 374 (2023): 1–28. https://doi.org/10.1016/j.jde.2023.07.029.' ieee: 'M. Winkler and T. Yokota, “Avoiding critical mass phenomena by arbitrarily mild saturation of cross-diffusive fluxes in two-dimensional Keller-Segel-Navier-Stokes systems,” Journal of Differential Equations, vol. 374, pp. 1–28, 2023, doi: 10.1016/j.jde.2023.07.029.' mla: Winkler, Michael, and Tomomi Yokota. “Avoiding Critical Mass Phenomena by Arbitrarily Mild Saturation of Cross-Diffusive Fluxes in Two-Dimensional Keller-Segel-Navier-Stokes Systems.” Journal of Differential Equations, vol. 374, Elsevier BV, 2023, pp. 1–28, doi:10.1016/j.jde.2023.07.029. short: M. Winkler, T. Yokota, Journal of Differential Equations 374 (2023) 1–28. date_created: 2025-12-18T19:19:57Z date_updated: 2025-12-18T20:07:42Z doi: 10.1016/j.jde.2023.07.029 intvolume: ' 374' language: - iso: eng page: 1-28 publication: Journal of Differential Equations publication_identifier: issn: - 0022-0396 publication_status: published publisher: Elsevier BV status: public title: Avoiding critical mass phenomena by arbitrarily mild saturation of cross-diffusive fluxes in two-dimensional Keller-Segel-Navier-Stokes systems type: journal_article user_id: '31496' volume: 374 year: '2023' ... --- _id: '63271' abstract: - lang: eng text: As a simplified version of a three-component taxis cascade model accounting for different migration strategies of two population groups in search of food, a two-component nonlocal nutrient taxis system is considered in a two-dimensional bounded convex domain with smooth boundary. For any given conveniently regular and biologically meaningful initial data, smallness conditions on the prescribed resource growth and on the initial nutrient signal concentration are identified which ensure the global existence of a global classical solution to the corresponding no-flux initial-boundary value problem. Moreover, under additional assumptions on the food production source these solutions are shown to be bounded, and to stabilize toward semi-trivial equilibria in the large time limit, respectively. author: - first_name: Youshan full_name: Tao, Youshan last_name: Tao - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: Tao Y, Winkler M. Small-signal solutions to a nonlocal cross-diffusion model for interaction of scroungers with rapidly diffusing foragers. Mathematical Models and Methods in Applied Sciences. 2023;33(01):103-138. doi:10.1142/s0218202523500045 apa: Tao, Y., & Winkler, M. (2023). Small-signal solutions to a nonlocal cross-diffusion model for interaction of scroungers with rapidly diffusing foragers. Mathematical Models and Methods in Applied Sciences, 33(01), 103–138. https://doi.org/10.1142/s0218202523500045 bibtex: '@article{Tao_Winkler_2023, title={Small-signal solutions to a nonlocal cross-diffusion model for interaction of scroungers with rapidly diffusing foragers}, volume={33}, DOI={10.1142/s0218202523500045}, number={01}, journal={Mathematical Models and Methods in Applied Sciences}, publisher={World Scientific Pub Co Pte Ltd}, author={Tao, Youshan and Winkler, Michael}, year={2023}, pages={103–138} }' chicago: 'Tao, Youshan, and Michael Winkler. “Small-Signal Solutions to a Nonlocal Cross-Diffusion Model for Interaction of Scroungers with Rapidly Diffusing Foragers.” Mathematical Models and Methods in Applied Sciences 33, no. 01 (2023): 103–38. https://doi.org/10.1142/s0218202523500045.' ieee: 'Y. Tao and M. Winkler, “Small-signal solutions to a nonlocal cross-diffusion model for interaction of scroungers with rapidly diffusing foragers,” Mathematical Models and Methods in Applied Sciences, vol. 33, no. 01, pp. 103–138, 2023, doi: 10.1142/s0218202523500045.' mla: Tao, Youshan, and Michael Winkler. “Small-Signal Solutions to a Nonlocal Cross-Diffusion Model for Interaction of Scroungers with Rapidly Diffusing Foragers.” Mathematical Models and Methods in Applied Sciences, vol. 33, no. 01, World Scientific Pub Co Pte Ltd, 2023, pp. 103–38, doi:10.1142/s0218202523500045. short: Y. Tao, M. Winkler, Mathematical Models and Methods in Applied Sciences 33 (2023) 103–138. date_created: 2025-12-18T19:12:35Z date_updated: 2025-12-18T20:10:55Z doi: 10.1142/s0218202523500045 intvolume: ' 33' issue: '01' language: - iso: eng page: 103-138 publication: Mathematical Models and Methods in Applied Sciences publication_identifier: issn: - 0218-2025 - 1793-6314 publication_status: published publisher: World Scientific Pub Co Pte Ltd status: public title: Small-signal solutions to a nonlocal cross-diffusion model for interaction of scroungers with rapidly diffusing foragers type: journal_article user_id: '31496' volume: 33 year: '2023' ... --- _id: '63267' article_number: '180' author: - first_name: Jaewook full_name: Ahn, Jaewook last_name: Ahn - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: Ahn J, Winkler M. A critical exponent for blow-up in a two-dimensional chemotaxis-consumption system. Calculus of Variations and Partial Differential Equations. 2023;62(6). doi:10.1007/s00526-023-02523-5 apa: Ahn, J., & Winkler, M. (2023). A critical exponent for blow-up in a two-dimensional chemotaxis-consumption system. Calculus of Variations and Partial Differential Equations, 62(6), Article 180. https://doi.org/10.1007/s00526-023-02523-5 bibtex: '@article{Ahn_Winkler_2023, title={A critical exponent for blow-up in a two-dimensional chemotaxis-consumption system}, volume={62}, DOI={10.1007/s00526-023-02523-5}, number={6180}, journal={Calculus of Variations and Partial Differential Equations}, publisher={Springer Science and Business Media LLC}, author={Ahn, Jaewook and Winkler, Michael}, year={2023} }' chicago: Ahn, Jaewook, and Michael Winkler. “A Critical Exponent for Blow-up in a Two-Dimensional Chemotaxis-Consumption System.” Calculus of Variations and Partial Differential Equations 62, no. 6 (2023). https://doi.org/10.1007/s00526-023-02523-5. ieee: 'J. Ahn and M. Winkler, “A critical exponent for blow-up in a two-dimensional chemotaxis-consumption system,” Calculus of Variations and Partial Differential Equations, vol. 62, no. 6, Art. no. 180, 2023, doi: 10.1007/s00526-023-02523-5.' mla: Ahn, Jaewook, and Michael Winkler. “A Critical Exponent for Blow-up in a Two-Dimensional Chemotaxis-Consumption System.” Calculus of Variations and Partial Differential Equations, vol. 62, no. 6, 180, Springer Science and Business Media LLC, 2023, doi:10.1007/s00526-023-02523-5. short: J. Ahn, M. Winkler, Calculus of Variations and Partial Differential Equations 62 (2023). date_created: 2025-12-18T19:10:55Z date_updated: 2025-12-18T20:10:21Z doi: 10.1007/s00526-023-02523-5 intvolume: ' 62' issue: '6' language: - iso: eng publication: Calculus of Variations and Partial Differential Equations publication_identifier: issn: - 0944-2669 - 1432-0835 publication_status: published publisher: Springer Science and Business Media LLC status: public title: A critical exponent for blow-up in a two-dimensional chemotaxis-consumption system type: journal_article user_id: '31496' volume: 62 year: '2023' ... --- _id: '63270' author: - first_name: Genglin full_name: Li, Genglin last_name: Li - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: Li G, Winkler M. Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities. Communications in Mathematical Sciences. 2023;21(2):299-322. doi:10.4310/cms.2023.v21.n2.a1 apa: Li, G., & Winkler, M. (2023). Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities. Communications in Mathematical Sciences, 21(2), 299–322. https://doi.org/10.4310/cms.2023.v21.n2.a1 bibtex: '@article{Li_Winkler_2023, title={Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities}, volume={21}, DOI={10.4310/cms.2023.v21.n2.a1}, number={2}, journal={Communications in Mathematical Sciences}, publisher={International Press of Boston}, author={Li, Genglin and Winkler, Michael}, year={2023}, pages={299–322} }' chicago: 'Li, Genglin, and Michael Winkler. “Relaxation in a Keller-Segel-Consumption System Involving Signal-Dependent Motilities.” Communications in Mathematical Sciences 21, no. 2 (2023): 299–322. https://doi.org/10.4310/cms.2023.v21.n2.a1.' ieee: 'G. Li and M. Winkler, “Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities,” Communications in Mathematical Sciences, vol. 21, no. 2, pp. 299–322, 2023, doi: 10.4310/cms.2023.v21.n2.a1.' mla: Li, Genglin, and Michael Winkler. “Relaxation in a Keller-Segel-Consumption System Involving Signal-Dependent Motilities.” Communications in Mathematical Sciences, vol. 21, no. 2, International Press of Boston, 2023, pp. 299–322, doi:10.4310/cms.2023.v21.n2.a1. short: G. Li, M. Winkler, Communications in Mathematical Sciences 21 (2023) 299–322. date_created: 2025-12-18T19:12:01Z date_updated: 2025-12-18T20:10:48Z doi: 10.4310/cms.2023.v21.n2.a1 intvolume: ' 21' issue: '2' language: - iso: eng page: 299-322 publication: Communications in Mathematical Sciences publication_identifier: issn: - 1539-6746 - 1945-0796 publication_status: published publisher: International Press of Boston status: public title: Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities type: journal_article user_id: '31496' volume: 21 year: '2023' ... --- _id: '63273' article_number: '103820' author: - first_name: Youshan full_name: Tao, Youshan last_name: Tao - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: 'Tao Y, Winkler M. Analysis of a chemotaxis-SIS epidemic model with unbounded infection force. Nonlinear Analysis: Real World Applications. 2023;71. doi:10.1016/j.nonrwa.2022.103820' apa: 'Tao, Y., & Winkler, M. (2023). Analysis of a chemotaxis-SIS epidemic model with unbounded infection force. Nonlinear Analysis: Real World Applications, 71, Article 103820. https://doi.org/10.1016/j.nonrwa.2022.103820' bibtex: '@article{Tao_Winkler_2023, title={Analysis of a chemotaxis-SIS epidemic model with unbounded infection force}, volume={71}, DOI={10.1016/j.nonrwa.2022.103820}, number={103820}, journal={Nonlinear Analysis: Real World Applications}, publisher={Elsevier BV}, author={Tao, Youshan and Winkler, Michael}, year={2023} }' chicago: 'Tao, Youshan, and Michael Winkler. “Analysis of a Chemotaxis-SIS Epidemic Model with Unbounded Infection Force.” Nonlinear Analysis: Real World Applications 71 (2023). https://doi.org/10.1016/j.nonrwa.2022.103820.' ieee: 'Y. Tao and M. Winkler, “Analysis of a chemotaxis-SIS epidemic model with unbounded infection force,” Nonlinear Analysis: Real World Applications, vol. 71, Art. no. 103820, 2023, doi: 10.1016/j.nonrwa.2022.103820.' mla: 'Tao, Youshan, and Michael Winkler. “Analysis of a Chemotaxis-SIS Epidemic Model with Unbounded Infection Force.” Nonlinear Analysis: Real World Applications, vol. 71, 103820, Elsevier BV, 2023, doi:10.1016/j.nonrwa.2022.103820.' short: 'Y. Tao, M. Winkler, Nonlinear Analysis: Real World Applications 71 (2023).' date_created: 2025-12-18T19:13:40Z date_updated: 2025-12-18T20:11:09Z doi: 10.1016/j.nonrwa.2022.103820 intvolume: ' 71' language: - iso: eng publication: 'Nonlinear Analysis: Real World Applications' publication_identifier: issn: - 1468-1218 publication_status: published publisher: Elsevier BV status: public title: Analysis of a chemotaxis-SIS epidemic model with unbounded infection force type: journal_article user_id: '31496' volume: 71 year: '2023' ... --- _id: '63281' abstract: - lang: eng text: AbstractA no-flux initial-boundary value problem for

ut=Δ(uϕ(v)),vt=Δv−uv,(⋆)

is considered in smoothly bounded subdomains of

with

n⩾1

and suitably regular initial data, whereφis assumed to reflect algebraic type cross-degeneracies by sharing essential features with

0⩽ξ↦ξα

for some

α⩾1

. Based on the discovery of a gradient structure acting at regularity levels mild enough to be consistent with degeneracy-driven limitations of smoothness information, in this general setting it is shown that with some measurable limit profile

u∞

and some null set

N⋆⊂(0,∞)

, a corresponding global generalized solution, known to exist according to recent literature, satisfies

ρ(u(⋅,t))⇀⋆ρ(u∞)in L∞(Ω) and v(⋅,t)→0in Lp(Ω)for all p⩾1

(0,∞)∖N⋆∋t→∞

, where

ρ(ξ):=ξ2(ξ+1)2

ξ⩾0

. In the particular case when either

n⩽2

and

α⩾1

is arbitrary, or

n⩾1

and

α∈[1,2]

, additional quantitative information on the deviation of trajectories from the initial data is derived. This is found to imply a lower estimate for the spatial oscillation of the respective first components throughout evolution, and moreover this is seen to entail that each of the uncountably many steady states

(u⋆,0)

of (

⋆

) is stable with respect to a suitably chosen norm topology. author: - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: Winkler M. Stabilization despite pervasive strong cross-degeneracies in a nonlinear diffusion model for migration–consumption interaction. Nonlinearity. 2023;36(8):4438-4469. doi:10.1088/1361-6544/ace22e apa: Winkler, M. (2023). Stabilization despite pervasive strong cross-degeneracies in a nonlinear diffusion model for migration–consumption interaction. Nonlinearity, 36(8), 4438–4469. https://doi.org/10.1088/1361-6544/ace22e bibtex: '@article{Winkler_2023, title={Stabilization despite pervasive strong cross-degeneracies in a nonlinear diffusion model for migration–consumption interaction}, volume={36}, DOI={10.1088/1361-6544/ace22e}, number={8}, journal={Nonlinearity}, publisher={IOP Publishing}, author={Winkler, Michael}, year={2023}, pages={4438–4469} }' chicago: 'Winkler, Michael. “Stabilization despite Pervasive Strong Cross-Degeneracies in a Nonlinear Diffusion Model for Migration–Consumption Interaction.” Nonlinearity 36, no. 8 (2023): 4438–69. https://doi.org/10.1088/1361-6544/ace22e.' ieee: 'M. Winkler, “Stabilization despite pervasive strong cross-degeneracies in a nonlinear diffusion model for migration–consumption interaction,” Nonlinearity, vol. 36, no. 8, pp. 4438–4469, 2023, doi: 10.1088/1361-6544/ace22e.' mla: Winkler, Michael. “Stabilization despite Pervasive Strong Cross-Degeneracies in a Nonlinear Diffusion Model for Migration–Consumption Interaction.” Nonlinearity, vol. 36, no. 8, IOP Publishing, 2023, pp. 4438–69, doi:10.1088/1361-6544/ace22e. short: M. Winkler, Nonlinearity 36 (2023) 4438–4469. date_created: 2025-12-18T19:17:01Z date_updated: 2025-12-18T20:12:06Z doi: 10.1088/1361-6544/ace22e intvolume: ' 36' issue: '8' language: - iso: eng page: 4438-4469 publication: Nonlinearity publication_identifier: issn: - 0951-7715 - 1361-6544 publication_status: published publisher: IOP Publishing status: public title: Stabilization despite pervasive strong cross-degeneracies in a nonlinear diffusion model for migration–consumption interaction type: journal_article user_id: '31496' volume: 36 year: '2023' ... --- _id: '63276' abstract: - lang: eng text: "The chemotaxis‐Stokes system \r\n\r\n\r\nis considered along with homogeneous boundary conditions of no‐flux type for \r\n and \r\n, and of Dirichlet type for \r\n, in a smoothly bounded domain \r\n. Under the assumption that \r\n, that \r\n is bounded on each of the intervals \r\n with arbitrary \r\n, and that with some \r\n and \r\n, we have \r\n\r\n\r\nIt is shown that for any suitably regular initial data, an associated initial‐boundary value problem admits a global very weak solution." author: - first_name: Yu full_name: Tian, Yu last_name: Tian - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: Tian Y, Winkler M. Keller–Segel–Stokes interaction involving signal‐dependent motilities. Mathematical Methods in the Applied Sciences. 2023;46(14):15667-15683. doi:10.1002/mma.9419 apa: Tian, Y., & Winkler, M. (2023). Keller–Segel–Stokes interaction involving signal‐dependent motilities. Mathematical Methods in the Applied Sciences, 46(14), 15667–15683. https://doi.org/10.1002/mma.9419 bibtex: '@article{Tian_Winkler_2023, title={Keller–Segel–Stokes interaction involving signal‐dependent motilities}, volume={46}, DOI={10.1002/mma.9419}, number={14}, journal={Mathematical Methods in the Applied Sciences}, publisher={Wiley}, author={Tian, Yu and Winkler, Michael}, year={2023}, pages={15667–15683} }' chicago: 'Tian, Yu, and Michael Winkler. “Keller–Segel–Stokes Interaction Involving Signal‐dependent Motilities.” Mathematical Methods in the Applied Sciences 46, no. 14 (2023): 15667–83. https://doi.org/10.1002/mma.9419.' ieee: 'Y. Tian and M. Winkler, “Keller–Segel–Stokes interaction involving signal‐dependent motilities,” Mathematical Methods in the Applied Sciences, vol. 46, no. 14, pp. 15667–15683, 2023, doi: 10.1002/mma.9419.' mla: Tian, Yu, and Michael Winkler. “Keller–Segel–Stokes Interaction Involving Signal‐dependent Motilities.” Mathematical Methods in the Applied Sciences, vol. 46, no. 14, Wiley, 2023, pp. 15667–83, doi:10.1002/mma.9419. short: Y. Tian, M. Winkler, Mathematical Methods in the Applied Sciences 46 (2023) 15667–15683. date_created: 2025-12-18T19:15:06Z date_updated: 2025-12-18T20:11:29Z doi: 10.1002/mma.9419 intvolume: ' 46' issue: '14' language: - iso: eng page: 15667-15683 publication: Mathematical Methods in the Applied Sciences publication_identifier: issn: - 0170-4214 - 1099-1476 publication_status: published publisher: Wiley status: public title: Keller–Segel–Stokes interaction involving signal‐dependent motilities type: journal_article user_id: '31496' volume: 46 year: '2023' ... --- _id: '63275' author: - first_name: Youshan full_name: Tao, Youshan last_name: Tao - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: Tao Y, Winkler M. Global smooth solutions in a three-dimensional cross-diffusive SIS epidemic model with saturated taxis at large densities. Evolution Equations and Control Theory. 2023;12(6):1676-1687. doi:10.3934/eect.2023031 apa: Tao, Y., & Winkler, M. (2023). Global smooth solutions in a three-dimensional cross-diffusive SIS epidemic model with saturated taxis at large densities. Evolution Equations and Control Theory, 12(6), 1676–1687. https://doi.org/10.3934/eect.2023031 bibtex: '@article{Tao_Winkler_2023, title={Global smooth solutions in a three-dimensional cross-diffusive SIS epidemic model with saturated taxis at large densities}, volume={12}, DOI={10.3934/eect.2023031}, number={6}, journal={Evolution Equations and Control Theory}, publisher={American Institute of Mathematical Sciences (AIMS)}, author={Tao, Youshan and Winkler, Michael}, year={2023}, pages={1676–1687} }' chicago: 'Tao, Youshan, and Michael Winkler. “Global Smooth Solutions in a Three-Dimensional Cross-Diffusive SIS Epidemic Model with Saturated Taxis at Large Densities.” Evolution Equations and Control Theory 12, no. 6 (2023): 1676–87. https://doi.org/10.3934/eect.2023031.' ieee: 'Y. Tao and M. Winkler, “Global smooth solutions in a three-dimensional cross-diffusive SIS epidemic model with saturated taxis at large densities,” Evolution Equations and Control Theory, vol. 12, no. 6, pp. 1676–1687, 2023, doi: 10.3934/eect.2023031.' mla: Tao, Youshan, and Michael Winkler. “Global Smooth Solutions in a Three-Dimensional Cross-Diffusive SIS Epidemic Model with Saturated Taxis at Large Densities.” Evolution Equations and Control Theory, vol. 12, no. 6, American Institute of Mathematical Sciences (AIMS), 2023, pp. 1676–87, doi:10.3934/eect.2023031. short: Y. Tao, M. Winkler, Evolution Equations and Control Theory 12 (2023) 1676–1687. date_created: 2025-12-18T19:14:46Z date_updated: 2025-12-18T20:11:23Z doi: 10.3934/eect.2023031 intvolume: ' 12' issue: '6' language: - iso: eng page: 1676-1687 publication: Evolution Equations and Control Theory publication_identifier: issn: - 2163-2480 publication_status: published publisher: American Institute of Mathematical Sciences (AIMS) status: public title: Global smooth solutions in a three-dimensional cross-diffusive SIS epidemic model with saturated taxis at large densities type: journal_article user_id: '31496' volume: 12 year: '2023' ...