Pullback V-attractor of a three dimensional globally modified two-phase flow model Article

Medjo, TT. (2018). Pullback V-attractor of a three dimensional globally modified two-phase flow model . DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 38(4), 2141-2169. 10.3934/dcds.2018088

cited authors

  • Medjo, TT

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 two phase flow 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 proposed in [6] for the velocity, coupled with an Allen-Cahn model 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 1, 2018

published in

Digital Object Identifier (DOI)

start page

  • 2141

end page

  • 2169

volume

  • 38

issue

  • 4