On the well-posedness of a mathematical
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Stefanie Sonner; Messoud A. Efendiev; Hermann J. Eberl
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Article
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2011
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John Wiley and Sons
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English
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## Communicated by Q. Wang We analyze a system of reaction-diffusion equations that models quorum-sensing in a growing biofilm. The model comprises two nonlinear diffusion effects: a porous medium-type degeneracy and super diffusion. We prove the wellposedness of the model. In particular, we prese