Well-posedness for a moving boundary model of an evaporation front in a porous medium
Analysis of PDEs
2017-02-16 v1
Abstract
We consider a two-phase elliptic-parabolic moving boundary problem modelling an evaporation front in a porous medium. Our main result is a proof of short-time existence and uniqueness of strong solutions to the corresponding nonlinear evolution problem in an -setting. It relies critically on nonstandard optimal regularity results for a linear elliptic-parabolic system with dynamic boundary condition.
Keywords
Cite
@article{arxiv.1702.04530,
title = {Well-posedness for a moving boundary model of an evaporation front in a porous medium},
author = {Friedrich Lippoth and Georg Prokert},
journal= {arXiv preprint arXiv:1702.04530},
year = {2017}
}