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Winkler, Mathematical Methods in the Applied Sciences 46 (2023) 15667–15683.","mla":"Tian, Yu, and Michael Winkler. “Keller–Segel–Stokes Interaction Involving Signal‐dependent Motilities.” <i>Mathematical Methods in the Applied Sciences</i>, vol. 46, no. 14, Wiley, 2023, pp. 15667–83, doi:<a href=\"https://doi.org/10.1002/mma.9419\">10.1002/mma.9419</a>.","bibtex":"@article{Tian_Winkler_2023, title={Keller–Segel–Stokes interaction involving signal‐dependent motilities}, volume={46}, DOI={<a href=\"https://doi.org/10.1002/mma.9419\">10.1002/mma.9419</a>}, number={14}, journal={Mathematical Methods in the Applied Sciences}, publisher={Wiley}, author={Tian, Yu and Winkler, Michael}, year={2023}, pages={15667–15683} }","ama":"Tian Y, Winkler M. Keller–Segel–Stokes interaction involving signal‐dependent motilities. <i>Mathematical Methods in the Applied Sciences</i>. 2023;46(14):15667-15683. doi:<a href=\"https://doi.org/10.1002/mma.9419\">10.1002/mma.9419</a>","chicago":"Tian, Yu, and Michael Winkler. “Keller–Segel–Stokes Interaction Involving Signal‐dependent Motilities.” <i>Mathematical Methods in the Applied Sciences</i> 46, no. 14 (2023): 15667–83. <a href=\"https://doi.org/10.1002/mma.9419\">https://doi.org/10.1002/mma.9419</a>.","ieee":"Y. Tian and M. Winkler, “Keller–Segel–Stokes interaction involving signal‐dependent motilities,” <i>Mathematical Methods in the Applied Sciences</i>, vol. 46, no. 14, pp. 15667–15683, 2023, doi: <a href=\"https://doi.org/10.1002/mma.9419\">10.1002/mma.9419</a>."},"year":"2023","issue":"14","publication_identifier":{"issn":["0170-4214","1099-1476"]},"publication_status":"published","doi":"10.1002/mma.9419","title":"Keller–Segel–Stokes interaction involving signal‐dependent motilities","volume":46,"date_created":"2024-04-07T12:51:27Z","author":[{"full_name":"Tian, Yu","last_name":"Tian","first_name":"Yu"},{"last_name":"Winkler","full_name":"Winkler, Michael","first_name":"Michael"}],"date_updated":"2024-04-07T12:51:31Z","publisher":"Wiley","status":"public","abstract":[{"text":"<jats:p>The chemotaxis‐Stokes system \r\n<jats:disp-formula>\r\n\r\n</jats:disp-formula>is 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<jats:disp-formula>\r\n\r\n</jats:disp-formula>It is shown that for any suitably regular initial data, an associated initial‐boundary value problem admits a global very weak solution.</jats:p>","lang":"eng"}],"publication":"Mathematical Methods in the Applied Sciences","type":"journal_article","language":[{"iso":"eng"}],"keyword":["General Engineering","General Mathematics"],"user_id":"31496","_id":"53339"},{"issue":"14","publication_status":"published","publication_identifier":{"issn":["0170-4214","1099-1476"]},"citation":{"mla":"Tian, Yu, and Michael Winkler. “Keller–Segel–Stokes Interaction Involving Signal‐dependent Motilities.” <i>Mathematical Methods in the Applied Sciences</i>, vol. 46, no. 14, Wiley, 2023, pp. 15667–83, doi:<a href=\"https://doi.org/10.1002/mma.9419\">10.1002/mma.9419</a>.","bibtex":"@article{Tian_Winkler_2023, title={Keller–Segel–Stokes interaction involving signal‐dependent motilities}, volume={46}, DOI={<a href=\"https://doi.org/10.1002/mma.9419\">10.1002/mma.9419</a>}, number={14}, journal={Mathematical Methods in the Applied Sciences}, publisher={Wiley}, author={Tian, Yu and Winkler, Michael}, year={2023}, pages={15667–15683} }","short":"Y. Tian, M. Winkler, Mathematical Methods in the Applied Sciences 46 (2023) 15667–15683.","apa":"Tian, Y., &#38; Winkler, M. (2023). Keller–Segel–Stokes interaction involving signal‐dependent motilities. <i>Mathematical Methods in the Applied Sciences</i>, <i>46</i>(14), 15667–15683. <a href=\"https://doi.org/10.1002/mma.9419\">https://doi.org/10.1002/mma.9419</a>","ama":"Tian Y, Winkler M. Keller–Segel–Stokes interaction involving signal‐dependent motilities. <i>Mathematical Methods in the Applied Sciences</i>. 2023;46(14):15667-15683. doi:<a href=\"https://doi.org/10.1002/mma.9419\">10.1002/mma.9419</a>","ieee":"Y. Tian and M. Winkler, “Keller–Segel–Stokes interaction involving signal‐dependent motilities,” <i>Mathematical Methods in the Applied Sciences</i>, vol. 46, no. 14, pp. 15667–15683, 2023, doi: <a href=\"https://doi.org/10.1002/mma.9419\">10.1002/mma.9419</a>.","chicago":"Tian, Yu, and Michael Winkler. “Keller–Segel–Stokes Interaction Involving Signal‐dependent Motilities.” <i>Mathematical Methods in the Applied Sciences</i> 46, no. 14 (2023): 15667–83. <a href=\"https://doi.org/10.1002/mma.9419\">https://doi.org/10.1002/mma.9419</a>."},"intvolume":"        46","page":"15667-15683","year":"2023","author":[{"first_name":"Yu","full_name":"Tian, Yu","last_name":"Tian"},{"full_name":"Winkler, Michael","id":"31496","last_name":"Winkler","first_name":"Michael"}],"date_created":"2025-12-18T19:15:06Z","volume":46,"date_updated":"2025-12-18T20:11:29Z","publisher":"Wiley","doi":"10.1002/mma.9419","title":"Keller–Segel–Stokes interaction involving signal‐dependent motilities","type":"journal_article","publication":"Mathematical Methods in the Applied Sciences","status":"public","abstract":[{"lang":"eng","text":"<jats:p>The chemotaxis‐Stokes system \r\n<jats:disp-formula>\r\n\r\n</jats:disp-formula>is 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<jats:disp-formula>\r\n\r\n</jats:disp-formula>It is shown that for any suitably regular initial data, an associated initial‐boundary value problem admits a global very weak solution.</jats:p>"}],"user_id":"31496","_id":"63276","language":[{"iso":"eng"}]},{"issue":"9","year":"2019","publisher":"Wiley","date_created":"2022-12-21T09:47:47Z","title":"A Keller‐Segel‐fluid system with singular sensitivity: Generalized solutions","publication":"Mathematical Methods in the Applied Sciences","keyword":["General Engineering","General Mathematics"],"language":[{"iso":"eng"}],"publication_identifier":{"issn":["0170-4214","1099-1476"]},"publication_status":"published","page":"3002-3020","intvolume":"        42","citation":{"chicago":"Black, Tobias, Johannes Lankeit, and Masaaki Mizukami. “A Keller‐Segel‐fluid System with Singular Sensitivity: Generalized Solutions.” <i>Mathematical Methods in the Applied Sciences</i> 42, no. 9 (2019): 3002–20. <a href=\"https://doi.org/10.1002/mma.5561\">https://doi.org/10.1002/mma.5561</a>.","ieee":"T. Black, J. Lankeit, and M. Mizukami, “A Keller‐Segel‐fluid system with singular sensitivity: Generalized solutions,” <i>Mathematical Methods in the Applied Sciences</i>, vol. 42, no. 9, pp. 3002–3020, 2019, doi: <a href=\"https://doi.org/10.1002/mma.5561\">10.1002/mma.5561</a>.","ama":"Black T, Lankeit J, Mizukami M. A Keller‐Segel‐fluid system with singular sensitivity: Generalized solutions. <i>Mathematical Methods in the Applied Sciences</i>. 2019;42(9):3002-3020. doi:<a href=\"https://doi.org/10.1002/mma.5561\">10.1002/mma.5561</a>","bibtex":"@article{Black_Lankeit_Mizukami_2019, title={A Keller‐Segel‐fluid system with singular sensitivity: Generalized solutions}, volume={42}, DOI={<a href=\"https://doi.org/10.1002/mma.5561\">10.1002/mma.5561</a>}, number={9}, journal={Mathematical Methods in the Applied Sciences}, publisher={Wiley}, author={Black, Tobias and Lankeit, Johannes and Mizukami, Masaaki}, year={2019}, pages={3002–3020} }","short":"T. Black, J. Lankeit, M. Mizukami, Mathematical Methods in the Applied Sciences 42 (2019) 3002–3020.","mla":"Black, Tobias, et al. “A Keller‐Segel‐fluid System with Singular Sensitivity: Generalized Solutions.” <i>Mathematical Methods in the Applied Sciences</i>, vol. 42, no. 9, Wiley, 2019, pp. 3002–20, doi:<a href=\"https://doi.org/10.1002/mma.5561\">10.1002/mma.5561</a>.","apa":"Black, T., Lankeit, J., &#38; Mizukami, M. (2019). A Keller‐Segel‐fluid system with singular sensitivity: Generalized solutions. <i>Mathematical Methods in the Applied Sciences</i>, <i>42</i>(9), 3002–3020. <a href=\"https://doi.org/10.1002/mma.5561\">https://doi.org/10.1002/mma.5561</a>"},"date_updated":"2022-12-21T10:04:36Z","volume":42,"author":[{"last_name":"Black","orcid":"0000-0001-9963-0800","full_name":"Black, Tobias","id":"23686","first_name":"Tobias"},{"full_name":"Lankeit, Johannes","last_name":"Lankeit","first_name":"Johannes"},{"first_name":"Masaaki","full_name":"Mizukami, Masaaki","last_name":"Mizukami"}],"doi":"10.1002/mma.5561","type":"journal_article","status":"public","_id":"34668","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"user_id":"23686"}]