| 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
\emph{dissipative martingale solutions}
satisfying the associated total energy balance. |
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