Existence result for a model of Proteus mirabilis swarm

Details Existence result for a model of Proteus mirabilis swarm Existence result for a model of Proteus mirabilis swarm

2007-02-26

arxiv.org/abs/math/0702761v1

Differential and integral equations 19 (2006) 697-720

Mathematics

Functional Analysis

Scientific paper

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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