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Existence result for a model of Proteus mirabilis swarm

Emmanuel Frenod
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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 to get an existence and uniqueness result.

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Emmanuel Frenod. 2007-02-26. Existence result for a model of Proteus mirabilis swarm. https://arxiv.org/abs/math/0702761

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