Bøger af Brian Straughan

This book is devoted to describing theories for porous media where such pores have an inbuilt macro structure and a micro structure. Chapters 2 and 3 review developments of theories for double and triple porosity using a pressure-displacement structure and also using voids-displacement.

This book deals with explosive instabilities in mechanics, deriving a solution to a system of PDEs that arise in practical situations. Among the topics presented are: classical fluid equations, catastrophic behavior in nonlinear fluid theories, blow-up in Volterra equations, and rapid energy growth in parallel flows.

This book is devoted to an account of theories of heat conduction where the temperature may travel as a wave with a finite speed. It surveys many of the theories which have been proposed as candidates to describe thermal motion as a wave.

This book is one of the first devoted to an account of theories of thermal convection which involve local thermal non-equilibrium effects, including a concentration on microfluidic effects.

This book presents an account of theories of flow in porous media which have proved tractable to analysis and computation. In particular, the theories of Darcy, Brinkman, and Forchheimer are presented and analysed in detail.

Six new chapters (14-19) deal with topics of current interest: multi-component convection diffusion, convection in a compressible fluid, convenction with temperature dependent viscosity and thermal conductivity, penetrative convection, nonlinear stability in ocean circulation models, and numerical solution of eigenvalue problems.