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Approximation of a stochastic two-phase flow model by a splitting-up method

  • * Corresponding author

    * Corresponding author
The first author is supported by the Fulbright Scholar Program Advanced Research and the Florida International University, 2019
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  • In this paper, we consider a stochastic Allen-Cahn Navier-Stokes system in a bounded domain of $ \mathbb{R}^d, $ $ d = 2,3 $. The system models the evolution of an incompressible isothermal mixture of binary fluids under the influence of stochastic external forces. We prove the existence of a global weak martingale solution. The proof is based on splitting-up method as well as some compactness method.

    Mathematics Subject Classification: 35R60, 35Q35, 60H15, 76M35, 86A05.


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