GLOBAL WELL-POSEDNESS OF A THREE-DIMENSIONAL BRINKMAN-FORCHHEIMER-BENARD CONVECTION MODEL IN POROUS MEDIA Academic Article uri icon

abstract

  • We consider three-dimensional (3D) Boussinesq convection system of an incompressible fluid in a closed sample of a porous medium. Specifically, we introduce and analyze a 3D Brinkman-Forchheimer-Bnard convection problem describing the behavior of an incompressible fluid in a porous medium between two plates heated from the bottom and cooled from the top. We show the existence and uniqueness of global in-time solutions, and the existence of absorbing balls in \begin{document}$ L^2 $end{document} and \begin{document}$ H^1 $end{document}. Eventually, we comment on the applicability of a data assimilation algorithm to our system.

published proceedings

  • DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S

author list (cited authors)

  • Titi, E. S., & Trabelsi, S.

citation count

  • 2

complete list of authors

  • Titi, Edriss S||Trabelsi, Saber

publication date

  • January 2022