Pullback attractor of a three dimensional globally modified Cahn–Hilliard-Navier–Stokes model Article

Tachim Medjo, T. (2018). Pullback attractor of a three dimensional globally modified Cahn–Hilliard-Navier–Stokes model . APPLICABLE ANALYSIS, 97(6), 1016-1041. 10.1080/00036811.2017.1296952

cited authors

  • Tachim Medjo, T

authors

abstract

  • The existence and final fractal dimension of a pullback attractor in the space V for a three dimensional system of a non-autonomous globally modified Cahn–Hilliard-Navier–Stokes model on a bounded domain is established under appropriate properties on the time depending forcing term. The model consists of the globally modified Navier–Stokes equations for the velocity, coupled with a Cahn–Hilliard equation for the order (phase) parameter. The existence of the pullback attractors is obtained using the flattening property. Furthermore, we prove that the fractal dimension in V of the pullback attractor is finite.

publication date

  • April 26, 2018

published in

Digital Object Identifier (DOI)

start page

  • 1016

end page

  • 1041

volume

  • 97

issue

  • 6