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Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems. <i>Communications in Contemporary Mathematics</i>. 2022;25(10). doi:<a href=\"https://doi.org/10.1142/s0219199722500626\">10.1142/s0219199722500626</a>","bibtex":"@article{Winkler_2022, title={Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems}, volume={25}, DOI={<a href=\"https://doi.org/10.1142/s0219199722500626\">10.1142/s0219199722500626</a>}, number={10}, journal={Communications in Contemporary Mathematics}, publisher={World Scientific Pub Co Pte Ltd}, author={Winkler, Michael}, year={2022} }","mla":"Winkler, Michael. “Arbitrarily Fast Grow-up Rates in Quasilinear Keller–Segel Systems.” <i>Communications in Contemporary Mathematics</i>, vol. 25, no. 10, World Scientific Pub Co Pte Ltd, 2022, doi:<a href=\"https://doi.org/10.1142/s0219199722500626\">10.1142/s0219199722500626</a>.","short":"M. Winkler, Communications in Contemporary Mathematics 25 (2022).","chicago":"Winkler, Michael. “Arbitrarily Fast Grow-up Rates in Quasilinear Keller–Segel Systems.” <i>Communications in Contemporary Mathematics</i> 25, no. 10 (2022). <a href=\"https://doi.org/10.1142/s0219199722500626\">https://doi.org/10.1142/s0219199722500626</a>.","apa":"Winkler, M. (2022). Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems. <i>Communications in Contemporary Mathematics</i>, <i>25</i>(10). <a href=\"https://doi.org/10.1142/s0219199722500626\">https://doi.org/10.1142/s0219199722500626</a>","ieee":"M. Winkler, “Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems,” <i>Communications in Contemporary Mathematics</i>, vol. 25, no. 10, 2022, doi: <a href=\"https://doi.org/10.1142/s0219199722500626\">10.1142/s0219199722500626</a>."},"doi":"10.1142/s0219199722500626","language":[{"iso":"eng"}],"publication_status":"published","date_updated":"2024-04-07T12:35:53Z","intvolume":"        25","title":"Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems","year":"2022","author":[{"first_name":"Michael","last_name":"Winkler","full_name":"Winkler, Michael"}],"publication_identifier":{"issn":["0219-1997","1793-6683"]},"keyword":["Applied Mathematics","General Mathematics"],"type":"journal_article","date_created":"2024-04-07T12:35:09Z","abstract":[{"text":"<jats:p> The chemotaxis system [Formula: see text] is considered in a ball [Formula: see text], [Formula: see text], where the positive function [Formula: see text] reflects suitably weak diffusion by satisfying [Formula: see text] for some [Formula: see text]. It is shown that whenever [Formula: see text] is positive and satisfies [Formula: see text] as [Formula: see text], one can find a suitably regular nonlinearity [Formula: see text] with the property that at each sufficiently large mass level [Formula: see text] there exists a globally defined radially symmetric classical solution to a Neumann-type boundary value problem for (⋆) which satisfies [Formula: see text] </jats:p>","lang":"eng"}],"publication":"Communications in Contemporary Mathematics","issue":"10"},{"citation":{"mla":"Winkler, Michael. “Arbitrarily Fast Grow-up Rates in Quasilinear Keller–Segel Systems.” <i>Communications in Contemporary Mathematics</i>, vol. 25, no. 10, 2250062, World Scientific Pub Co Pte Ltd, 2022, doi:<a href=\"https://doi.org/10.1142/s0219199722500626\">10.1142/s0219199722500626</a>.","bibtex":"@article{Winkler_2022, title={Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems}, volume={25}, DOI={<a href=\"https://doi.org/10.1142/s0219199722500626\">10.1142/s0219199722500626</a>}, number={102250062}, journal={Communications in Contemporary Mathematics}, publisher={World Scientific Pub Co Pte Ltd}, author={Winkler, Michael}, year={2022} }","ama":"Winkler M. Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems. <i>Communications in Contemporary Mathematics</i>. 2022;25(10). doi:<a href=\"https://doi.org/10.1142/s0219199722500626\">10.1142/s0219199722500626</a>","ieee":"M. Winkler, “Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems,” <i>Communications in Contemporary Mathematics</i>, vol. 25, no. 10, Art. no. 2250062, 2022, doi: <a href=\"https://doi.org/10.1142/s0219199722500626\">10.1142/s0219199722500626</a>.","apa":"Winkler, M. (2022). Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems. <i>Communications in Contemporary Mathematics</i>, <i>25</i>(10), Article 2250062. <a href=\"https://doi.org/10.1142/s0219199722500626\">https://doi.org/10.1142/s0219199722500626</a>","chicago":"Winkler, Michael. “Arbitrarily Fast Grow-up Rates in Quasilinear Keller–Segel Systems.” <i>Communications in Contemporary Mathematics</i> 25, no. 10 (2022). <a href=\"https://doi.org/10.1142/s0219199722500626\">https://doi.org/10.1142/s0219199722500626</a>.","short":"M. Winkler, Communications in Contemporary Mathematics 25 (2022)."},"_id":"63282","publisher":"World Scientific Pub Co Pte Ltd","volume":25,"user_id":"31496","status":"public","date_created":"2025-12-18T19:17:23Z","type":"journal_article","issue":"10","publication":"Communications in Contemporary Mathematics","abstract":[{"text":"<jats:p> The chemotaxis system [Formula: see text] is considered in a ball [Formula: see text], [Formula: see text], where the positive function [Formula: see text] reflects suitably weak diffusion by satisfying [Formula: see text] for some [Formula: see text]. It is shown that whenever [Formula: see text] is positive and satisfies [Formula: see text] as [Formula: see text], one can find a suitably regular nonlinearity [Formula: see text] with the property that at each sufficiently large mass level [Formula: see text] there exists a globally defined radially symmetric classical solution to a Neumann-type boundary value problem for (⋆) which satisfies [Formula: see text] </jats:p>","lang":"eng"}],"language":[{"iso":"eng"}],"article_number":"2250062","doi":"10.1142/s0219199722500626","author":[{"id":"31496","first_name":"Michael","last_name":"Winkler","full_name":"Winkler, Michael"}],"publication_identifier":{"issn":["0219-1997","1793-6683"]},"title":"Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems","year":"2022","intvolume":"        25","date_updated":"2025-12-18T20:12:13Z","publication_status":"published"}]