A diffuse interface model of a two-phase flow with thermal fluctuations

0540456 - MÚ 2022 RIV US eng J - Journal Article
Feireisl, Eduard - Petcu, M.
A diffuse interface model of a two-phase flow with thermal fluctuations.
Applied Mathematics and Optimization. Roč. 83, č. 1 (2021), s. 531-563. ISSN 0095-4616. E-ISSN 1432-0606
R&D Projects: GA ČR(CZ) GA18-05974S
Institutional support: RVO:67985840
Keywords : compressible Navier–Stokes system * stochastic Cahn-Hilliard equation * weak martingale solution
OECD category: Pure mathematics
Impact factor: 2.194, year: 2021
Method of publishing: Limited access
https://doi.org/10.1007/s00245-019-09557-2

We consider a model of a two phase flow proposed by Anderson et al. 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 existence of dissipative martingale solutions satisfying the associated total energy balance.
Permanent Link: http://hdl.handle.net/11104/0318084