Unique strong and V-attractor of a three dimensional globally modified Cahn-Hilliard-Navier-Stokes model Article

Tachim Medjo, T. (2017). Unique strong and V-attractor of a three dimensional globally modified Cahn-Hilliard-Navier-Stokes model . APPLICABLE ANALYSIS, 96(16), 2695-2716. 10.1080/00036811.2016.1236924

cited authors

  • Tachim Medjo, T

authors

abstract

  • In this article, we study a globally modified Cahn–Hilliard–Navier–Stokes system in a three-dimensional domain. The model consists of the globally modified Navier–Stokes equations proposed, coupled with a Cahn–Hilliard model. We prove the existence and uniqueness of strong solutions. Using the flattening property, we also prove the existence of global V-attractors for the model. Using a limiting argument, we derive the existence of bounded entire weak solutions for the three-dimensional coupled Cahn–Hilliard–Navier–Stokes system with time-independent forcing.

publication date

  • December 10, 2017

published in

Digital Object Identifier (DOI)

start page

  • 2695

end page

  • 2716

volume

  • 96

issue

  • 16