Global existence of bounded weak solutions to degenerate cross-diffusion equations in moving domain
Analysis of PDEs
2015-08-27 v1
Abstract
The aim of this note is to present preliminary existence results for a system of cross-diffusion equations defined on a domain with moving boundaries, which model the evolution of the concentrations of different chemical species in a solid during a Chemical Vapor Deposition process. The system of equations, when the domain remains fixed over time, can be seen formally as a gradient flow system which can be analyzed using the boundedness by entropy method introduced by Burger and J\"ungel. Preliminary existence results are presented in the case of a one-dimensional moving boundary domain.
Keywords
Cite
@article{arxiv.1508.06449,
title = {Global existence of bounded weak solutions to degenerate cross-diffusion equations in moving domain},
author = {Athmane Bakhta and Virginie Ehrlacher},
journal= {arXiv preprint arXiv:1508.06449},
year = {2015}
}