On the strong solutions for a stochastic 2D nonlocal Cahn–Hilliard–Navier–Stokes model

. We study in this article a stochastic version of a well-known diffuse interface model. The model consists of the Navier-Stokes equations for the average velocity, nonlinearly coupled with a nonlocal Cahn-Hilliard equation for the order (phase) parameter. The system describes the evolution of an incompressible isothermal mixture of binary fluids excited by random forces in a two dimensional bounded domain. For a fairly general class of random forces, we prove the existence and uniqueness of a variational solution.

• Publication year

  2020

• Venue

  Dynamics of Partial Differential Equations

• Publication date

  Unknown publication date

• Fields of study

  Mathematics, Physics

• Identifiers
  DOI 10.4310/dpde.2020.v17.n1.a2
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  Open on Semantic Scholar

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  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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