Uniform Bounds for Solutions to Volume-Surface Reaction Diffusion Systems

2015/12/29 by Sharma, Vandana, Morgan, Jeff
#35B45 #35K57 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1512.08765

Abstract

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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