--- _id: '53261' author: - first_name: Mohammad full_name: Soleymani, Mohammad last_name: Soleymani - first_name: Ignacio full_name: Santamaria, Ignacio last_name: Santamaria - first_name: Eduard full_name: Jorswieck, Eduard last_name: Jorswieck - first_name: Bruno full_name: Clerckx, Bruno last_name: Clerckx citation: ama: Soleymani M, Santamaria I, Jorswieck E, Clerckx B. Optimization of Rate-Splitting Multiple Access in Beyond Diagonal RIS-assisted URLLC Systems. IEEE Transactions on Wireless Communications. Published online 2023:1-1. doi:10.1109/twc.2023.3324190 apa: Soleymani, M., Santamaria, I., Jorswieck, E., & Clerckx, B. (2023). Optimization of Rate-Splitting Multiple Access in Beyond Diagonal RIS-assisted URLLC Systems. IEEE Transactions on Wireless Communications, 1–1. https://doi.org/10.1109/twc.2023.3324190 bibtex: '@article{Soleymani_Santamaria_Jorswieck_Clerckx_2023, title={Optimization of Rate-Splitting Multiple Access in Beyond Diagonal RIS-assisted URLLC Systems}, DOI={10.1109/twc.2023.3324190}, journal={IEEE Transactions on Wireless Communications}, publisher={Institute of Electrical and Electronics Engineers (IEEE)}, author={Soleymani, Mohammad and Santamaria, Ignacio and Jorswieck, Eduard and Clerckx, Bruno}, year={2023}, pages={1–1} }' chicago: Soleymani, Mohammad, Ignacio Santamaria, Eduard Jorswieck, and Bruno Clerckx. “Optimization of Rate-Splitting Multiple Access in Beyond Diagonal RIS-Assisted URLLC Systems.” IEEE Transactions on Wireless Communications, 2023, 1–1. https://doi.org/10.1109/twc.2023.3324190. ieee: 'M. Soleymani, I. Santamaria, E. Jorswieck, and B. Clerckx, “Optimization of Rate-Splitting Multiple Access in Beyond Diagonal RIS-assisted URLLC Systems,” IEEE Transactions on Wireless Communications, pp. 1–1, 2023, doi: 10.1109/twc.2023.3324190.' mla: Soleymani, Mohammad, et al. “Optimization of Rate-Splitting Multiple Access in Beyond Diagonal RIS-Assisted URLLC Systems.” IEEE Transactions on Wireless Communications, Institute of Electrical and Electronics Engineers (IEEE), 2023, pp. 1–1, doi:10.1109/twc.2023.3324190. short: M. Soleymani, I. Santamaria, E. Jorswieck, B. Clerckx, IEEE Transactions on Wireless Communications (2023) 1–1. date_created: 2024-04-05T09:01:04Z date_updated: 2024-04-05T13:20:40Z department: - _id: '263' doi: 10.1109/twc.2023.3324190 keyword: - Applied Mathematics - Electrical and Electronic Engineering - Computer Science Applications language: - iso: eng page: 1-1 publication: IEEE Transactions on Wireless Communications publication_identifier: issn: - 1536-1276 - 1558-2248 publication_status: published publisher: Institute of Electrical and Electronics Engineers (IEEE) status: public title: Optimization of Rate-Splitting Multiple Access in Beyond Diagonal RIS-assisted URLLC Systems type: journal_article user_id: '67076' year: '2023' ... --- _id: '53265' author: - first_name: Mohammad full_name: Soleymani, Mohammad last_name: Soleymani - first_name: Ignacio full_name: Santamaria, Ignacio last_name: Santamaria - first_name: Eduard full_name: Jorswieck, Eduard last_name: Jorswieck - first_name: Sepehr full_name: Rezvani, Sepehr last_name: Rezvani citation: ama: Soleymani M, Santamaria I, Jorswieck E, Rezvani S. NOMA-Based Improper Signaling for Multicell MISO RIS-Assisted Broadcast Channels. IEEE Transactions on Signal Processing. 2023;71:963-978. doi:10.1109/tsp.2023.3259145 apa: Soleymani, M., Santamaria, I., Jorswieck, E., & Rezvani, S. (2023). NOMA-Based Improper Signaling for Multicell MISO RIS-Assisted Broadcast Channels. IEEE Transactions on Signal Processing, 71, 963–978. https://doi.org/10.1109/tsp.2023.3259145 bibtex: '@article{Soleymani_Santamaria_Jorswieck_Rezvani_2023, title={NOMA-Based Improper Signaling for Multicell MISO RIS-Assisted Broadcast Channels}, volume={71}, DOI={10.1109/tsp.2023.3259145}, journal={IEEE Transactions on Signal Processing}, publisher={Institute of Electrical and Electronics Engineers (IEEE)}, author={Soleymani, Mohammad and Santamaria, Ignacio and Jorswieck, Eduard and Rezvani, Sepehr}, year={2023}, pages={963–978} }' chicago: 'Soleymani, Mohammad, Ignacio Santamaria, Eduard Jorswieck, and Sepehr Rezvani. “NOMA-Based Improper Signaling for Multicell MISO RIS-Assisted Broadcast Channels.” IEEE Transactions on Signal Processing 71 (2023): 963–78. https://doi.org/10.1109/tsp.2023.3259145.' ieee: 'M. Soleymani, I. Santamaria, E. Jorswieck, and S. Rezvani, “NOMA-Based Improper Signaling for Multicell MISO RIS-Assisted Broadcast Channels,” IEEE Transactions on Signal Processing, vol. 71, pp. 963–978, 2023, doi: 10.1109/tsp.2023.3259145.' mla: Soleymani, Mohammad, et al. “NOMA-Based Improper Signaling for Multicell MISO RIS-Assisted Broadcast Channels.” IEEE Transactions on Signal Processing, vol. 71, Institute of Electrical and Electronics Engineers (IEEE), 2023, pp. 963–78, doi:10.1109/tsp.2023.3259145. short: M. Soleymani, I. Santamaria, E. Jorswieck, S. Rezvani, IEEE Transactions on Signal Processing 71 (2023) 963–978. date_created: 2024-04-05T09:03:42Z date_updated: 2024-04-05T13:21:50Z department: - _id: '263' doi: 10.1109/tsp.2023.3259145 intvolume: ' 71' keyword: - Electrical and Electronic Engineering - Signal Processing language: - iso: eng page: 963-978 publication: IEEE Transactions on Signal Processing publication_identifier: issn: - 1053-587X - 1941-0476 publication_status: published publisher: Institute of Electrical and Electronics Engineers (IEEE) status: public title: NOMA-Based Improper Signaling for Multicell MISO RIS-Assisted Broadcast Channels type: journal_article user_id: '67076' volume: 71 year: '2023' ... --- _id: '53263' author: - first_name: Mohammad full_name: Soleymani, Mohammad last_name: Soleymani - first_name: Ignacio full_name: Santamaria, Ignacio last_name: Santamaria - first_name: Eduard A. full_name: Jorswieck, Eduard A. last_name: Jorswieck citation: ama: Soleymani M, Santamaria I, Jorswieck EA. Spectral and Energy Efficiency Maximization of MISO STAR-RIS-Assisted URLLC Systems. IEEE Access. 2023;11:70833-70852. doi:10.1109/access.2023.3294092 apa: Soleymani, M., Santamaria, I., & Jorswieck, E. A. (2023). Spectral and Energy Efficiency Maximization of MISO STAR-RIS-Assisted URLLC Systems. IEEE Access, 11, 70833–70852. https://doi.org/10.1109/access.2023.3294092 bibtex: '@article{Soleymani_Santamaria_Jorswieck_2023, title={Spectral and Energy Efficiency Maximization of MISO STAR-RIS-Assisted URLLC Systems}, volume={11}, DOI={10.1109/access.2023.3294092}, journal={IEEE Access}, publisher={Institute of Electrical and Electronics Engineers (IEEE)}, author={Soleymani, Mohammad and Santamaria, Ignacio and Jorswieck, Eduard A.}, year={2023}, pages={70833–70852} }' chicago: 'Soleymani, Mohammad, Ignacio Santamaria, and Eduard A. Jorswieck. “Spectral and Energy Efficiency Maximization of MISO STAR-RIS-Assisted URLLC Systems.” IEEE Access 11 (2023): 70833–52. https://doi.org/10.1109/access.2023.3294092.' ieee: 'M. Soleymani, I. Santamaria, and E. A. Jorswieck, “Spectral and Energy Efficiency Maximization of MISO STAR-RIS-Assisted URLLC Systems,” IEEE Access, vol. 11, pp. 70833–70852, 2023, doi: 10.1109/access.2023.3294092.' mla: Soleymani, Mohammad, et al. “Spectral and Energy Efficiency Maximization of MISO STAR-RIS-Assisted URLLC Systems.” IEEE Access, vol. 11, Institute of Electrical and Electronics Engineers (IEEE), 2023, pp. 70833–52, doi:10.1109/access.2023.3294092. short: M. Soleymani, I. Santamaria, E.A. Jorswieck, IEEE Access 11 (2023) 70833–70852. date_created: 2024-04-05T09:01:49Z date_updated: 2024-04-05T13:21:01Z department: - _id: '263' doi: 10.1109/access.2023.3294092 intvolume: ' 11' keyword: - General Engineering - General Materials Science - General Computer Science - Electrical and Electronic Engineering language: - iso: eng page: 70833-70852 publication: IEEE Access publication_identifier: issn: - 2169-3536 publication_status: published publisher: Institute of Electrical and Electronics Engineers (IEEE) status: public title: Spectral and Energy Efficiency Maximization of MISO STAR-RIS-Assisted URLLC Systems type: journal_article user_id: '67076' volume: 11 year: '2023' ... --- _id: '53264' author: - first_name: Ignacio full_name: Santamaria, Ignacio last_name: Santamaria - first_name: Mohammad full_name: Soleymani, Mohammad last_name: Soleymani - first_name: Eduard full_name: Jorswieck, Eduard last_name: Jorswieck - first_name: Jesús full_name: Gutiérrez, Jesús last_name: Gutiérrez citation: ama: 'Santamaria I, Soleymani M, Jorswieck E, Gutiérrez J. Interference Leakage Minimization in RIS-Assisted MIMO Interference Channels. In: ICASSP 2023 - 2023 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE; 2023. doi:10.1109/icassp49357.2023.10094656' apa: Santamaria, I., Soleymani, M., Jorswieck, E., & Gutiérrez, J. (2023). Interference Leakage Minimization in RIS-Assisted MIMO Interference Channels. ICASSP 2023 - 2023 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). https://doi.org/10.1109/icassp49357.2023.10094656 bibtex: '@inproceedings{Santamaria_Soleymani_Jorswieck_Gutiérrez_2023, title={Interference Leakage Minimization in RIS-Assisted MIMO Interference Channels}, DOI={10.1109/icassp49357.2023.10094656}, booktitle={ICASSP 2023 - 2023 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)}, publisher={IEEE}, author={Santamaria, Ignacio and Soleymani, Mohammad and Jorswieck, Eduard and Gutiérrez, Jesús}, year={2023} }' chicago: Santamaria, Ignacio, Mohammad Soleymani, Eduard Jorswieck, and Jesús Gutiérrez. “Interference Leakage Minimization in RIS-Assisted MIMO Interference Channels.” In ICASSP 2023 - 2023 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE, 2023. https://doi.org/10.1109/icassp49357.2023.10094656. ieee: 'I. Santamaria, M. Soleymani, E. Jorswieck, and J. Gutiérrez, “Interference Leakage Minimization in RIS-Assisted MIMO Interference Channels,” 2023, doi: 10.1109/icassp49357.2023.10094656.' mla: Santamaria, Ignacio, et al. “Interference Leakage Minimization in RIS-Assisted MIMO Interference Channels.” ICASSP 2023 - 2023 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), IEEE, 2023, doi:10.1109/icassp49357.2023.10094656. short: 'I. Santamaria, M. Soleymani, E. Jorswieck, J. Gutiérrez, in: ICASSP 2023 - 2023 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), IEEE, 2023.' date_created: 2024-04-05T09:02:14Z date_updated: 2024-04-05T13:21:11Z department: - _id: '263' doi: 10.1109/icassp49357.2023.10094656 language: - iso: eng publication: ICASSP 2023 - 2023 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) publication_status: published publisher: IEEE status: public title: Interference Leakage Minimization in RIS-Assisted MIMO Interference Channels type: conference user_id: '67076' year: '2023' ... --- _id: '53301' article_number: '120986' author: - first_name: Solveig full_name: Vieluf, Solveig last_name: Vieluf - first_name: Tanuj full_name: Hasija, Tanuj id: '43497' last_name: Hasija - first_name: Maurice full_name: Kuschel, Maurice id: '56070' last_name: Kuschel - first_name: Claus full_name: Reinsberger, Claus id: '48978' last_name: Reinsberger - first_name: Tobias full_name: Loddenkemper, Tobias last_name: Loddenkemper citation: ama: Vieluf S, Hasija T, Kuschel M, Reinsberger C, Loddenkemper T. Developing a deep canonical correlation-based technique for seizure prediction. Expert Systems with Applications. 2023;234. doi:10.1016/j.eswa.2023.120986 apa: Vieluf, S., Hasija, T., Kuschel, M., Reinsberger, C., & Loddenkemper, T. (2023). Developing a deep canonical correlation-based technique for seizure prediction. Expert Systems with Applications, 234, Article 120986. https://doi.org/10.1016/j.eswa.2023.120986 bibtex: '@article{Vieluf_Hasija_Kuschel_Reinsberger_Loddenkemper_2023, title={Developing a deep canonical correlation-based technique for seizure prediction}, volume={234}, DOI={10.1016/j.eswa.2023.120986}, number={120986}, journal={Expert Systems with Applications}, publisher={Elsevier BV}, author={Vieluf, Solveig and Hasija, Tanuj and Kuschel, Maurice and Reinsberger, Claus and Loddenkemper, Tobias}, year={2023} }' chicago: Vieluf, Solveig, Tanuj Hasija, Maurice Kuschel, Claus Reinsberger, and Tobias Loddenkemper. “Developing a Deep Canonical Correlation-Based Technique for Seizure Prediction.” Expert Systems with Applications 234 (2023). https://doi.org/10.1016/j.eswa.2023.120986. ieee: 'S. Vieluf, T. Hasija, M. Kuschel, C. Reinsberger, and T. Loddenkemper, “Developing a deep canonical correlation-based technique for seizure prediction,” Expert Systems with Applications, vol. 234, Art. no. 120986, 2023, doi: 10.1016/j.eswa.2023.120986.' mla: Vieluf, Solveig, et al. “Developing a Deep Canonical Correlation-Based Technique for Seizure Prediction.” Expert Systems with Applications, vol. 234, 120986, Elsevier BV, 2023, doi:10.1016/j.eswa.2023.120986. short: S. Vieluf, T. Hasija, M. Kuschel, C. Reinsberger, T. Loddenkemper, Expert Systems with Applications 234 (2023). date_created: 2024-04-05T14:37:06Z date_updated: 2024-04-05T14:49:56Z department: - _id: '263' doi: 10.1016/j.eswa.2023.120986 intvolume: ' 234' keyword: - Artificial Intelligence - Computer Science Applications - General Engineering language: - iso: eng publication: Expert Systems with Applications publication_identifier: issn: - 0957-4174 publication_status: published publisher: Elsevier BV status: public title: Developing a deep canonical correlation-based technique for seizure prediction type: journal_article user_id: '56070' volume: 234 year: '2023' ... --- _id: '53303' author: - first_name: Maurice full_name: Kuschel, Maurice id: '56070' last_name: Kuschel - first_name: Timothy full_name: Marrinan, Timothy last_name: Marrinan - first_name: Tanuj full_name: Hasija, Tanuj id: '43497' last_name: Hasija citation: ama: 'Kuschel M, Marrinan T, Hasija T. Geodesic-Based Relaxation For Deep Canonical Correlation Analysis. In: 2023 IEEE 33rd International Workshop on Machine Learning for Signal Processing (MLSP). IEEE; 2023. doi:10.1109/mlsp55844.2023.10285937' apa: Kuschel, M., Marrinan, T., & Hasija, T. (2023). Geodesic-Based Relaxation For Deep Canonical Correlation Analysis. 2023 IEEE 33rd International Workshop on Machine Learning for Signal Processing (MLSP). https://doi.org/10.1109/mlsp55844.2023.10285937 bibtex: '@inproceedings{Kuschel_Marrinan_Hasija_2023, title={Geodesic-Based Relaxation For Deep Canonical Correlation Analysis}, DOI={10.1109/mlsp55844.2023.10285937}, booktitle={2023 IEEE 33rd International Workshop on Machine Learning for Signal Processing (MLSP)}, publisher={IEEE}, author={Kuschel, Maurice and Marrinan, Timothy and Hasija, Tanuj}, year={2023} }' chicago: Kuschel, Maurice, Timothy Marrinan, and Tanuj Hasija. “Geodesic-Based Relaxation For Deep Canonical Correlation Analysis.” In 2023 IEEE 33rd International Workshop on Machine Learning for Signal Processing (MLSP). IEEE, 2023. https://doi.org/10.1109/mlsp55844.2023.10285937. ieee: 'M. Kuschel, T. Marrinan, and T. Hasija, “Geodesic-Based Relaxation For Deep Canonical Correlation Analysis,” 2023, doi: 10.1109/mlsp55844.2023.10285937.' mla: Kuschel, Maurice, et al. “Geodesic-Based Relaxation For Deep Canonical Correlation Analysis.” 2023 IEEE 33rd International Workshop on Machine Learning for Signal Processing (MLSP), IEEE, 2023, doi:10.1109/mlsp55844.2023.10285937. short: 'M. Kuschel, T. Marrinan, T. Hasija, in: 2023 IEEE 33rd International Workshop on Machine Learning for Signal Processing (MLSP), IEEE, 2023.' date_created: 2024-04-05T14:39:36Z date_updated: 2024-04-05T14:50:06Z department: - _id: '263' doi: 10.1109/mlsp55844.2023.10285937 language: - iso: eng publication: 2023 IEEE 33rd International Workshop on Machine Learning for Signal Processing (MLSP) publication_status: published publisher: IEEE status: public title: Geodesic-Based Relaxation For Deep Canonical Correlation Analysis type: conference user_id: '56070' year: '2023' ... --- _id: '53310' author: - first_name: Emebet Gebeyehu full_name: Gedlu, Emebet Gebeyehu id: '77572' last_name: Gedlu - first_name: Oliver full_name: Wallscheid, Oliver id: '11291' last_name: Wallscheid orcid: https://orcid.org/0000-0001-9362-8777 - first_name: Joachim full_name: Böcker, Joachim id: '66' last_name: Böcker orcid: 0000-0002-8480-7295 - first_name: Oliver full_name: Nelles, Oliver last_name: Nelles citation: ama: 'Gedlu EG, Wallscheid O, Böcker J, Nelles O. Online system identification and excitation for thermal monitoring of electric machines using machine learning and model predictive control. In: 2023 IEEE 14th International Symposium on Diagnostics for Electrical Machines, Power Electronics and Drives (SDEMPED). IEEE; 2023. doi:10.1109/sdemped54949.2023.10271427' apa: Gedlu, E. G., Wallscheid, O., Böcker, J., & Nelles, O. (2023). Online system identification and excitation for thermal monitoring of electric machines using machine learning and model predictive control. 2023 IEEE 14th International Symposium on Diagnostics for Electrical Machines, Power Electronics and Drives (SDEMPED). https://doi.org/10.1109/sdemped54949.2023.10271427 bibtex: '@inproceedings{Gedlu_Wallscheid_Böcker_Nelles_2023, title={Online system identification and excitation for thermal monitoring of electric machines using machine learning and model predictive control}, DOI={10.1109/sdemped54949.2023.10271427}, booktitle={2023 IEEE 14th International Symposium on Diagnostics for Electrical Machines, Power Electronics and Drives (SDEMPED)}, publisher={IEEE}, author={Gedlu, Emebet Gebeyehu and Wallscheid, Oliver and Böcker, Joachim and Nelles, Oliver}, year={2023} }' chicago: Gedlu, Emebet Gebeyehu, Oliver Wallscheid, Joachim Böcker, and Oliver Nelles. “Online System Identification and Excitation for Thermal Monitoring of Electric Machines Using Machine Learning and Model Predictive Control.” In 2023 IEEE 14th International Symposium on Diagnostics for Electrical Machines, Power Electronics and Drives (SDEMPED). IEEE, 2023. https://doi.org/10.1109/sdemped54949.2023.10271427. ieee: 'E. G. Gedlu, O. Wallscheid, J. Böcker, and O. Nelles, “Online system identification and excitation for thermal monitoring of electric machines using machine learning and model predictive control,” 2023, doi: 10.1109/sdemped54949.2023.10271427.' mla: Gedlu, Emebet Gebeyehu, et al. “Online System Identification and Excitation for Thermal Monitoring of Electric Machines Using Machine Learning and Model Predictive Control.” 2023 IEEE 14th International Symposium on Diagnostics for Electrical Machines, Power Electronics and Drives (SDEMPED), IEEE, 2023, doi:10.1109/sdemped54949.2023.10271427. short: 'E.G. Gedlu, O. Wallscheid, J. Böcker, O. Nelles, in: 2023 IEEE 14th International Symposium on Diagnostics for Electrical Machines, Power Electronics and Drives (SDEMPED), IEEE, 2023.' date_created: 2024-04-06T13:55:29Z date_updated: 2024-04-06T14:00:07Z department: - _id: '52' doi: 10.1109/sdemped54949.2023.10271427 language: - iso: eng publication: 2023 IEEE 14th International Symposium on Diagnostics for Electrical Machines, Power Electronics and Drives (SDEMPED) publication_status: published publisher: IEEE status: public title: Online system identification and excitation for thermal monitoring of electric machines using machine learning and model predictive control type: conference user_id: '66' year: '2023' ... --- _id: '53317' author: - first_name: Youshan full_name: Tao, Youshan last_name: Tao - first_name: Michael full_name: Winkler, Michael 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: 2024-04-07T12:30:25Z date_updated: 2024-04-07T12:36:17Z doi: 10.3934/eect.2023031 intvolume: ' 12' issue: '6' keyword: - Applied Mathematics - Control and Optimization - Modeling and Simulation 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' ... --- _id: '53320' author: - first_name: Michael full_name: Winkler, Michael last_name: Winkler citation: ama: Winkler M. A quantitative strong parabolic maximum principle and application to a taxis-type migration–consumption model involving signal-dependent degenerate diffusion. Annales de l’Institut Henri Poincaré C, Analyse non linéaire. Published online 2023. doi:10.4171/aihpc/73 apa: Winkler, M. (2023). A quantitative strong parabolic maximum principle and application to a taxis-type migration–consumption model involving signal-dependent degenerate diffusion. Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire. https://doi.org/10.4171/aihpc/73 bibtex: '@article{Winkler_2023, title={A quantitative strong parabolic maximum principle and application to a taxis-type migration–consumption model involving signal-dependent degenerate diffusion}, DOI={10.4171/aihpc/73}, journal={Annales de l’Institut Henri Poincaré C, Analyse non linéaire}, publisher={European Mathematical Society - EMS - Publishing House GmbH}, author={Winkler, Michael}, year={2023} }' chicago: Winkler, Michael. “A Quantitative Strong Parabolic Maximum Principle and Application to a Taxis-Type Migration–Consumption Model Involving Signal-Dependent Degenerate Diffusion.” Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire, 2023. https://doi.org/10.4171/aihpc/73. ieee: 'M. Winkler, “A quantitative strong parabolic maximum principle and application to a taxis-type migration–consumption model involving signal-dependent degenerate diffusion,” Annales de l’Institut Henri Poincaré C, Analyse non linéaire, 2023, doi: 10.4171/aihpc/73.' mla: Winkler, Michael. “A Quantitative Strong Parabolic Maximum Principle and Application to a Taxis-Type Migration–Consumption Model Involving Signal-Dependent Degenerate Diffusion.” Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire, European Mathematical Society - EMS - Publishing House GmbH, 2023, doi:10.4171/aihpc/73. short: M. Winkler, Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire (2023). date_created: 2024-04-07T12:34:35Z date_updated: 2024-04-07T12:36:00Z doi: 10.4171/aihpc/73 keyword: - Mathematical Physics - Analysis - Applied Mathematics language: - iso: eng publication: Annales de l'Institut Henri Poincaré C, Analyse non linéaire publication_identifier: issn: - 0294-1449 - 1873-1430 publication_status: published publisher: European Mathematical Society - EMS - Publishing House GmbH status: public title: A quantitative strong parabolic maximum principle and application to a taxis-type migration–consumption model involving signal-dependent degenerate diffusion type: journal_article user_id: '31496' year: '2023' ... --- _id: '53318' author: - first_name: Genglin full_name: Li, Genglin last_name: Li - first_name: Michael full_name: Winkler, Michael last_name: Winkler citation: ama: Li G, Winkler M. Refined regularity analysis for a Keller-Segel-consumption system involving signal-dependent motilities. Applicable Analysis. 2023;103(1):45-64. doi:10.1080/00036811.2023.2173183 apa: Li, G., & Winkler, M. (2023). Refined regularity analysis for a Keller-Segel-consumption system involving signal-dependent motilities. Applicable Analysis, 103(1), 45–64. https://doi.org/10.1080/00036811.2023.2173183 bibtex: '@article{Li_Winkler_2023, title={Refined regularity analysis for a Keller-Segel-consumption system involving signal-dependent motilities}, volume={103}, DOI={10.1080/00036811.2023.2173183}, number={1}, journal={Applicable Analysis}, publisher={Informa UK Limited}, author={Li, Genglin and Winkler, Michael}, year={2023}, pages={45–64} }' chicago: 'Li, Genglin, and Michael Winkler. “Refined Regularity Analysis for a Keller-Segel-Consumption System Involving Signal-Dependent Motilities.” Applicable Analysis 103, no. 1 (2023): 45–64. https://doi.org/10.1080/00036811.2023.2173183.' ieee: 'G. Li and M. Winkler, “Refined regularity analysis for a Keller-Segel-consumption system involving signal-dependent motilities,” Applicable Analysis, vol. 103, no. 1, pp. 45–64, 2023, doi: 10.1080/00036811.2023.2173183.' mla: Li, Genglin, and Michael Winkler. “Refined Regularity Analysis for a Keller-Segel-Consumption System Involving Signal-Dependent Motilities.” Applicable Analysis, vol. 103, no. 1, Informa UK Limited, 2023, pp. 45–64, doi:10.1080/00036811.2023.2173183. short: G. Li, M. Winkler, Applicable Analysis 103 (2023) 45–64. date_created: 2024-04-07T12:32:55Z date_updated: 2024-04-07T12:36:11Z doi: 10.1080/00036811.2023.2173183 intvolume: ' 103' issue: '1' keyword: - Applied Mathematics - Analysis language: - iso: eng page: 45-64 publication: Applicable Analysis publication_identifier: issn: - 0003-6811 - 1563-504X publication_status: published publisher: Informa UK Limited status: public title: Refined regularity analysis for a Keller-Segel-consumption system involving signal-dependent motilities type: journal_article user_id: '31496' volume: 103 year: '2023' ... --- _id: '53328' 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 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: 2024-04-07T12:43:13Z date_updated: 2024-04-07T12:43:17Z doi: 10.1142/s0218202523500045 intvolume: ' 33' issue: '01' keyword: - Applied Mathematics - Modeling and Simulation 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: '53324' article_number: '180' author: - first_name: Jaewook full_name: Ahn, Jaewook last_name: Ahn - first_name: Michael full_name: Winkler, Michael 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: 2024-04-07T12:40:02Z date_updated: 2024-04-07T12:40:06Z doi: 10.1007/s00526-023-02523-5 intvolume: ' 62' issue: '6' keyword: - Applied Mathematics - Analysis 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: '53329' article_number: '103820' author: - first_name: Youshan full_name: Tao, Youshan last_name: Tao - first_name: Michael full_name: Winkler, Michael 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: 2024-04-07T12:43:49Z date_updated: 2024-04-07T12:43:53Z doi: 10.1016/j.nonrwa.2022.103820 intvolume: ' 71' keyword: - Applied Mathematics - Computational Mathematics - General Economics - Econometrics and Finance - General Engineering - General Medicine - Analysis 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: '53326' author: - first_name: Genglin full_name: Li, Genglin last_name: Li - first_name: Michael full_name: Winkler, Michael 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: 2024-04-07T12:41:49Z date_updated: 2024-04-07T12:41:54Z doi: 10.4310/cms.2023.v21.n2.a1 intvolume: ' 21' issue: '2' keyword: - Applied Mathematics - General Mathematics 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: '53343' 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 ." author: - first_name: Michael full_name: Winkler, Michael 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). 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={1}, 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, 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, Walter de Gruyter GmbH, 2023, doi:10.1515/math-2022-0578. short: M. Winkler, Open Mathematics 21 (2023). date_created: 2024-04-07T12:54:31Z date_updated: 2024-04-07T12:54:34Z doi: 10.1515/math-2022-0578 intvolume: ' 21' issue: '1' keyword: - General Mathematics 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: '53345' 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⩾1as

(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 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: 2024-04-07T12:56:35Z date_updated: 2024-04-07T12:56:40Z doi: 10.1088/1361-6544/ace22e intvolume: ' 36' issue: '8' keyword: - Applied Mathematics - General Physics and Astronomy - Mathematical Physics - Statistical and Nonlinear Physics 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: '53341' 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 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: 2024-04-07T12:52:52Z date_updated: 2024-04-07T12:52:55Z doi: 10.1007/s41808-023-00230-y intvolume: ' 9' issue: '2' keyword: - Applied Mathematics - Numerical Analysis - Analysis 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: '53339' 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 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: 2024-04-07T12:51:27Z date_updated: 2024-04-07T12:51:31Z doi: 10.1002/mma.9419 intvolume: ' 46' issue: '14' keyword: - General Engineering - General Mathematics 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: '53340' author: - first_name: Kevin J. full_name: Painter, Kevin J. last_name: Painter - first_name: Michael full_name: Winkler, Michael last_name: Winkler citation: ama: Painter KJ, Winkler M. Phenotype Switching in Chemotaxis Aggregation Models Controls the Spontaneous Emergence of Large Densities. SIAM Journal on Applied Mathematics. 2023;83(5):2096-2117. doi:10.1137/22m1539393 apa: Painter, K. J., & Winkler, M. (2023). Phenotype Switching in Chemotaxis Aggregation Models Controls the Spontaneous Emergence of Large Densities. SIAM Journal on Applied Mathematics, 83(5), 2096–2117. https://doi.org/10.1137/22m1539393 bibtex: '@article{Painter_Winkler_2023, title={Phenotype Switching in Chemotaxis Aggregation Models Controls the Spontaneous Emergence of Large Densities}, volume={83}, DOI={10.1137/22m1539393}, number={5}, journal={SIAM Journal on Applied Mathematics}, publisher={Society for Industrial & Applied Mathematics (SIAM)}, author={Painter, Kevin J. and Winkler, Michael}, year={2023}, pages={2096–2117} }' chicago: 'Painter, Kevin J., and Michael Winkler. “Phenotype Switching in Chemotaxis Aggregation Models Controls the Spontaneous Emergence of Large Densities.” SIAM Journal on Applied Mathematics 83, no. 5 (2023): 2096–2117. https://doi.org/10.1137/22m1539393.' ieee: 'K. J. Painter and M. Winkler, “Phenotype Switching in Chemotaxis Aggregation Models Controls the Spontaneous Emergence of Large Densities,” SIAM Journal on Applied Mathematics, vol. 83, no. 5, pp. 2096–2117, 2023, doi: 10.1137/22m1539393.' mla: Painter, Kevin J., and Michael Winkler. “Phenotype Switching in Chemotaxis Aggregation Models Controls the Spontaneous Emergence of Large Densities.” SIAM Journal on Applied Mathematics, vol. 83, no. 5, Society for Industrial & Applied Mathematics (SIAM), 2023, pp. 2096–117, doi:10.1137/22m1539393. short: K.J. Painter, M. Winkler, SIAM Journal on Applied Mathematics 83 (2023) 2096–2117. date_created: 2024-04-07T12:52:03Z date_updated: 2024-04-07T12:52:06Z doi: 10.1137/22m1539393 intvolume: ' 83' issue: '5' keyword: - Applied Mathematics language: - iso: eng page: 2096-2117 publication: SIAM Journal on Applied Mathematics publication_identifier: issn: - 0036-1399 - 1095-712X publication_status: published publisher: Society for Industrial & Applied Mathematics (SIAM) status: public title: Phenotype Switching in Chemotaxis Aggregation Models Controls the Spontaneous Emergence of Large Densities type: journal_article user_id: '31496' volume: 83 year: '2023' ... --- _id: '53342' author: - first_name: Michael full_name: Winkler, Michael 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: 2024-04-07T12:53:32Z date_updated: 2024-04-07T12:53:38Z doi: 10.1016/j.jde.2023.07.029 intvolume: ' 374' keyword: - Analysis - Applied Mathematics 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' ...