Large deviation for a 2D Cahn-Hilliard-Navier-Stokes model under random influences Article

Deugoue, G, Tachim Medjo, T. (2020). Large deviation for a 2D Cahn-Hilliard-Navier-Stokes model under random influences . JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 486(1), 10.1016/j.jmaa.2020.123863

cited authors

  • Deugoue, G; Tachim Medjo, T

authors

abstract

  • In this article, we derive a large deviation principle for a 2D Cahn-Hilliard-Navier-Stokes model under random influences. The model consists of the Navier-Stokes equations for the velocity, coupled with a Cahn-Hilliard equation for the order (phase) parameter. The proof relies on the weak convergence method that was introduced in [3–5] and based on a variational representation on infinite-dimensional Brownian motion.

publication date

  • June 1, 2020

published in

Digital Object Identifier (DOI)

volume

  • 486

issue

  • 1