{"_id":"53321","date_updated":"2024-04-07T12:35:53Z","publication_identifier":{"issn":["0219-1997","1793-6683"]},"abstract":[{"lang":"eng","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>"}],"doi":"10.1142/s0219199722500626","publication":"Communications in Contemporary Mathematics","citation":{"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>.","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>","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>.","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>","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} }","short":"M. Winkler, Communications in Contemporary Mathematics 25 (2022).","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>."},"intvolume":"        25","title":"Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems","keyword":["Applied Mathematics","General Mathematics"],"year":"2022","author":[{"full_name":"Winkler, Michael","last_name":"Winkler","first_name":"Michael"}],"status":"public","issue":"10","user_id":"31496","type":"journal_article","language":[{"iso":"eng"}],"volume":25,"publisher":"World Scientific Pub Co Pte Ltd","publication_status":"published","date_created":"2024-04-07T12:35:09Z"}