Global Existence of Solutions to Reaction Diffusion Systems with Mass Transport Type Boundary Conditions on an Evolving Domain
Analysis of PDEs
2021-02-02 v1
Abstract
We consider reaction-diffusion systems where components diffuse inside the domain and react on the surface through mass transport type boundary conditions on an evolving domain. Using Lyapunov functional and duality arguments, we establish the existence of component-wise non-negative global solutions.
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Cite
@article{arxiv.2102.00165,
title = {Global Existence of Solutions to Reaction Diffusion Systems with Mass Transport Type Boundary Conditions on an Evolving Domain},
author = {Vandana Sharma and Jyotshana V. Prajapat},
journal= {arXiv preprint arXiv:2102.00165},
year = {2021}
}
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27 pages