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arxiv: 1512.08765 · v1 · pith:RRSKVM2Rnew · submitted 2015-12-29 · 🧮 math.AP

Uniform Bounds for Solutions to Volume-Surface Reaction Diffusion Systems

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keywords boundarycomponentsdiffusereactsolutionsboundedboundsconsider
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We consider a reaction-diffusion system where some components react and diffuse on the boundary of a region, while other components diffuse in the interior and react with those on the boundary through mass transport. We establish criteria guaranteeing that solutions are uniformly bounded in time.

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