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Global solvability of some double-diffusive convection system coupled with Brinkman-Forchheimer equations
Abstract
In this paper, the global solvability of the initial boundary
value problem and the periodic problem are discussed for double-diffusive convection systems under the homogeneous Neumann boundary condition in a bounded domain. This system is coupled with the so-called Brinkman-Forchheimer equation, which is similar to the Stokes equation and contains some convection terms similar to that in Navier-Stokes equations. However, in contrast to Navier-Stokes equations, it is shown that the global solvability in L^2 -spaces holds true for the 3-dimensional problems.
value problem and the periodic problem are discussed for double-diffusive convection systems under the homogeneous Neumann boundary condition in a bounded domain. This system is coupled with the so-called Brinkman-Forchheimer equation, which is similar to the Stokes equation and contains some convection terms similar to that in Navier-Stokes equations. However, in contrast to Navier-Stokes equations, it is shown that the global solvability in L^2 -spaces holds true for the 3-dimensional problems.
Keywords
Global solvability; double-diffusive convection; Brinkman-Forchheimer equation; Neumann boundary condition; Soret coefficient
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PDFDOI: http://dx.doi.org/10.14510%2Flm-ns.v33i1.55