2006 Existence result for a model of Proteus mirabilis swarm
E. Frénod
Differential Integral Equations 19(6): 697-720 (2006). DOI: 10.57262/die/1356050359

Abstract

In this paper we present a modification of the usual {Proteus mirabilis Swarm model. For the obtained model (which is a two phase model with a non-linear diffusion term containing memory) we set up a collection of a priori estimates. Those estimates allow us to get an existence and uniqueness result.

Citation

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E. Frénod. "Existence result for a model of Proteus mirabilis swarm." Differential Integral Equations 19 (6) 697 - 720, 2006. https://doi.org/10.57262/die/1356050359

Information

Published: 2006
First available in Project Euclid: 21 December 2012

zbMATH: 1212.35206
MathSciNet: MR2234720
Digital Object Identifier: 10.57262/die/1356050359

Subjects:
Primary: 35K55
Secondary: 35B45 , 35Q80 , 92D25

Rights: Copyright © 2006 Khayyam Publishing, Inc.

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Vol.19 • No. 6 • 2006
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