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

0540456 - MÚ 2022 RIV US eng J - Článek v odborném periodiku
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
Grant CEP: GA ČR(CZ) GA18-05974S
Institucionální podpora: RVO:67985840
Klíčová slova: compressible Navier–Stokes system * stochastic Cahn-Hilliard equation * weak martingale solution
Obor OECD: Pure mathematics
Impakt faktor: 2.194, rok: 2021
Způsob publikování: Omezený přístup
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.
Trvalý link: http://hdl.handle.net/11104/0318084