The main purpose of this chapter is to give a derivation, which is mathematically precise,
physically natural, and conceptually simple, of the quasilinear system of partial differential …

This book presents an account of theories of? ow in porous media which have proved
tractable to analysis and computation. In particular, the t-ories of Darcy, Brinkman, and …

In this paper we introduce and analyze an algorithm for continuous data assimilation for a
three-dimensional Brinkman–Forchheimer-extended Darcy (3D BFeD) model of porous …

We show that the global nonlinear stability threshold for convection with a thermal non-
equilibrium model is exactly the same as the linear instability boundary. This result is shown …

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

We prove the existence of regular dissipative solutions and global attractors for the 3D
Brinkmann-Forchheimer equations with the nonlinearity of an arbitrary polynomial growth …

This paper studies the continuous dependence of the Forchheimer coefficient λ and the
Brinkman coefficient μ in a bounded domain of a viscous fluid interfacing with a porous solid …

We study the structural stability for a thermal convection model with temperature-dependent
solubility. When the spatial domain Ω is bounded in R 3, we show that the solution depends …

This study analyzes the effect of anisotropy and the internal heat source in a Darcy–
Forchheimer porous layer. It is well known that the variations in viscosity can be attributed to …

On continuous dependence on coefficients of the Brinkman–Forchheimer equations -
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