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arxiv: 0809.1350 · v1 · submitted 2008-09-08 · 🧮 math.AP

Proteus mirabilis swarm-colony development with drift

classification 🧮 math.AP
keywords driftequationmirabilismodelproteusadditionalage-structuredbacterium
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We prove a global existence result for a model describing the swarming phenomenon of the bacterium Proteus mirabilis. The model consists of an ordinary differential equation coupled with an age-structured equation involving nonlinear degenerate diffusion and an additional drift term.

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