Uniform Bounds for Solutions to Volume-Surface Reaction Diffusion Systems

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.

arXiv comment15 pages. arXiv admin note: text overlap with arXiv:1504.00323