Global Existence of Solutions to Reaction Diffusion Systems with Mass Transport Type Boundary Conditions
Analysis of PDEs
2015-11-20 v2
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 local well-posedness and global existence of solutions for these systems using classical potential theory and linear estimates for initial boundary value problems.
Keywords
Cite
@article{arxiv.1504.00323,
title = {Global Existence of Solutions to Reaction Diffusion Systems with Mass Transport Type Boundary Conditions},
author = {Vandana Sharma and Jeff Morgan},
journal= {arXiv preprint arXiv:1504.00323},
year = {2015}
}
Comments
Key words: reaction-diffusion equations, mass transport, conservation of mass, Laplace Beltrami operator, global existence, a priori estimates