Existence and boundedness of solutions for a Keller-Segel system with gradient dependent chemotactic sensitivity
We consider the Keller-Segel system with gradient dependent chemotactic sensitivity $$\displaylines{ u_t =\Delta u-\nabla\cdot(u|\nabla v|^{p-2}\nabla v),\quad x\in\Omega,\; t>0,\cr v_t =\Delta v-v+u,\quad x\in\Omega,\; t>0,\cr \frac{\partial u}{\partial \nu}=\frac{\partial v}{\partial\nu...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Texas State University
2020-12-01
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Series: | Electronic Journal of Differential Equations |
Subjects: | |
Online Access: | http://ejde.math.txstate.edu/Volumes/2020/122/abstr.html |