A diffuse interface model of a two-phase flow with thermal fluctuations
Analysis of PDEs
2018-04-17 v1
Abstract
We consider a model of a two phase flow proposed by Anderson, McFadden and Wheeler taking into account possible thermal fluctuations. The mathematical model consists of the compressible Navier-Stokes system coupled with the Cahn-Hilliard equation, where the latter is driven by a multiplicative temporal white noise accounting for thermal fluctuations. We show that existence of dissipative martingale solutions satisfying the associated total energy balance.
Keywords
Cite
@article{arxiv.1804.05557,
title = {A diffuse interface model of a two-phase flow with thermal fluctuations},
author = {Eduard Feireisl and Madalina Petcu},
journal= {arXiv preprint arXiv:1804.05557},
year = {2018}
}