A summary is presented of physical insights gained into three-dimensional linear instability
through solution of the two-dimensional partial-differential-equation-based nonsymmetric …

We consider the thermal instability in a Brinkman porous media incorporating fluid inertia.
Both free–free and fixed–fixed boundaries are investigated. We have incorporated the …

Completely revised text focuses on use of spectral methods to solve boundary value,
eigenvalue, and time-dependent problems, but also covers Hermite, Laguerre, rational …

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 …

Two decades ago when we wrote Spectral Methods in Fluid Dynamics (1988), the subject
was still fairly novel. Motivated by the many favorable comments we have received and the …

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 …

We consider the problem of thermal convection in a horizontal layer of incompressible
Newtonian fluid with gravity acting downward. The constitutive equation for the heat flux is …

We present a model for thermal convection in a Navier–Stokes–Voigt fluid when the
viscosity is a quadratic function of the temperature. Three different approaches to deriving …

The linear stability of a pressure-driven channel flow of an electrically conducting Navier–
Stokes–Voigt type of the viscoelastic fluid subject to a transverse magnetic field is …

We discuss models for flow in a class of generalized Navier–Stokes equations. The work
concentrates on producing models for thermal convection, analysing these in detail, and …