Title: Global existence and uniform estimates of solutions to reaction diffusion systems with
mass transport type boundary conditions
Author: Vandana Sharma
Journal: Communication on Pure and Applied Analysis
Year: 2021
DOI: https://www.aimsciences.org/article/doi/10.3934/cpaa.2021001
Publisher: American Institute of Mathematics

Abstract: We consider reaction diffusion systems where components diffuse inside the
domain and react on the surface through mass transport type boundary conditions. Under
reasonable hypotheses, we establish the existence of component wise non-negative global
solutions which are uniformly bounded in the sup norm.