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Mathematics > Analysis of PDEs

arXiv:1804.05557 (math)
[Submitted on 16 Apr 2018]

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

Authors:Eduard Feireisl, Madalina Petcu
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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.
Subjects: Analysis of PDEs (math.AP)
MSC classes: 35R60, 35Q35, 60H15
Cite as: arXiv:1804.05557 [math.AP]
  (or arXiv:1804.05557v1 [math.AP] for this version)
  https://doi.org/10.48550/arXiv.1804.05557

Submission history

From: Eduard Feireisl [view email]
[v1] Mon, 16 Apr 2018 08:57:35 UTC (22 KB)
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