Global solvability of some double-diffusive convection system coupled with Brinkman-Forchheimer equations

Mitsuharu Otani, Shun Uchida
2013 LIBERTAS MATHEMATICA (new series)  
In this paper, the global solvability of the initial boundary value problem and the periodic problem are discussed for a doublediffusive convection system under the homogeneous Neumann boundary condition in a bounded domain. This system is coupled with the so-called Brinkman-Forchheimer equations, which is similar to the Stokes equations and contains some convection terms similar to that in the Navier-Stokes equations. However, in contrast to the Navier-Stokes equations, it is shown that the
more » ... bal solvability in L 2 -spaces holds true for the 3-dimensional problems.
doi:10.14510/lm-ns.v33i1.55 fatcat:uptrlhie3zeyvm4qhwygu4kumy