| Abstract: |
| In this talk, we investigate a Keller-Segel system with flux limitation under no-flux boundary conditions in a ball. It is proved that the problem possesses a unique classical solution that can be extended in time up to a maximal $T_{\max}\in (0,\infty]$. Moreover, we show that the above solution is global and bounded in certain subcritical cases. This is a joint work with Yuxiang Li (SEU). |
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