ON THE EXISTENCE AND UNIQUENESS OF STRONG SOLUTIONS TO 2D G-BÉNARD PROBLEM IN UNBOUNDED DOMAINS

Abstract

In this paper, we consider the 2D g-Bénard problem in domains satisfying the Poincaré
inequality with homogeneous Dirichlet boundary conditions. We show the existence and uniqueness
of strong solutions. The obtained results particularly extend previous results for 2D g-Navier-Stokes
equations and 2D Bénard problem.