Special Session 73: Nonlinear elliptic and parabolic equations and related functional inequalities

: Global existence of solutions of a class of system of reaction-diffusion equations on evolving domains.

Jyotshana Prajapat
University of Mumbai
India
Co-Author(s):    Vandana Sharma
Abstract:
In this talk, I will discuss the existence and global existence of solutions of system of reaction diffusion equation where the components diffuse inside an evolving domain and react on the surface through mass transport type boundary conditions. Furthermore, we also report progress on the case where some components react and diffuse on the boundary of the region in addition to the components reacting and diffusing in the interior of an evolving domain. Interactions for different boundary conditions will be explored.