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March/April 2016 Blow-up time of a Keller-Segel-type system with Neumann and Robin boundary conditions
G. Viglialoro
Differential Integral Equations 29(3/4): 359-376 (March/April 2016).

Abstract

This paper is concerned with a parabolic-parabolic Keller-Segel-type system in a bounded domain $\Omega \subset \mathbb{R}^N$ (with $N=2$ or $N=3$) presenting source and damping terms. We impose Neumann and Robin boundary conditions to each one of the two unknowns of the problem and study the non-negative solutions which blow up in finite time $t^*$. In this way, it is possible to derive explicit lower bounds for $t^*$, under appropriate conditions on the data of the problem.

Citation

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G. Viglialoro. "Blow-up time of a Keller-Segel-type system with Neumann and Robin boundary conditions." Differential Integral Equations 29 (3/4) 359 - 376, March/April 2016.

Information

Published: March/April 2016
First available in Project Euclid: 18 February 2016

zbMATH: 1374.35217
MathSciNet: MR3466170

Subjects:
Primary: 35B44, 35K55, 82C22, 92C17

Rights: Copyright © 2016 Khayyam Publishing, Inc.

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Vol.29 • No. 3/4 • March/April 2016
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