The exponential behavior of a stochastic Cahn-Hilliard-Navier-Stokes model with multiplicative noise Article

Tachim Medjo, T. (2019). The exponential behavior of a stochastic Cahn-Hilliard-Navier-Stokes model with multiplicative noise . COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 18(6), 2961-2982. 10.3934/cpaa.2019132

cited authors

  • Tachim Medjo, T

authors

abstract

  • In this article, we study the stability of weak solutions to a stochastic version of a coupled Cahn-Hilliard-Navier-Stokes model with multiplicative noise. The model consists of the Navier-Stokes equations for the velocity, coupled with an Cahn-Hilliard model for the order (phase) parameter. We prove that under some conditions on the forcing terms, the weak solutions converge exponentially in the mean square and almost surely exponentially to the stationary solutions. We also prove a result related to the stabilization of these equations.

publication date

  • November 1, 2019

published in

Digital Object Identifier (DOI)

start page

  • 2961

end page

  • 2982

volume

  • 18

issue

  • 6