Existence and uniqueness of global solutions for the modified anisotropic 3D Navier-Stokes equations Article

Bessaih, H, Trabelsi, S, Zorgati, H. (2016). Existence and uniqueness of global solutions for the modified anisotropic 3D Navier-Stokes equations . 50(6), 1817-1823. 10.1051/m2an/2016008

cited authors

  • Bessaih, H; Trabelsi, S; Zorgati, H

authors

abstract

  • We study a modified three-dimensional incompressible anisotropic Navier-Stokes equations. The modification consists in the addition of a power term to the nonlinear convective one. This modification appears naturally in porous media when a fluid obeys the Darcy-Forchheimer law instead of the classical Darcy law. We prove global in time existence and uniqueness of solutions without assuming the smallness condition on the initial data. This improves the result obtained for the classical 3D incompressible anisotropic Navier-Stokes equations.

publication date

  • November 1, 2016

Digital Object Identifier (DOI)

start page

  • 1817

end page

  • 1823

volume

  • 50

issue

  • 6