This paper investigates the flow of fluid in a porous medium which is described in the Brinkman–Forchheimer equations and obtains the structural stability ...

Following that we prove a convergence result for a solution of the Brinkman]Forchheimer equations that tends to a solution of the Darcy]Forchheimer equations.

Dec 25, 2001 · The Brinkman–Forchheimer equations for non-slow flow in a saturated porous medium are analyzed. It is shown that the solution depends continuously on changes ...

A convergence result is established for the Darcy equations when the variable viscosity is allowed to tend to a constant viscosity. Keywords: Brinkman; ...

The Brinkman and Forchheimer models for convective flow in porous media have recently been studied extensively in connection with practical stability studies, ...

The Brinkman and Forchheimer models for convective flow in porous media have recently been studied extensively in connection with practical stability studies, ...

ABSTRACT: In this paper, we establish the structural stability for the linear differential equations of thermo-diffusion in a semi-infinite pipe flow. Using the ...

The equations for convective fluid motion in a porous medium of Brinkman or Forchheimer type are analysed when the viscosity varies with either temperature ...

We study continuous dependence of solutions of the following initial boundary value problem on the coefficient J in H 1 norm.

Oct 22, 2024 · We prove continuous dependence of solutions of the Brinkman–Forchheimer equations on the Brinkman and Forchheimer coefficients in H1 norm.