On the existence and uniqueness of solution to a stochastic 2D Allen-Cahn-Navier-Stokes model Article

Medjo, TT. (2019). On the existence and uniqueness of solution to a stochastic 2D Allen-Cahn-Navier-Stokes model . STOCHASTICS AND DYNAMICS, 19(1), 10.1142/S0219493719500072

cited authors

  • Medjo, TT

authors

abstract

  • We study, in this paper, a stochastic version of a coupled Allen-Cahn-Navier-Stokes model in a two-dimensional (2D) bounded domain. The model consists of the Navier-Stokes equations (NSEs) for the velocity, coupled with a Allen-Cahn model for the order (phase) parameter. We prove the existence and the uniqueness of a variational solution.

publication date

  • February 1, 2019

published in

Digital Object Identifier (DOI)

volume

  • 19

issue

  • 1