This volume is a substantially revised new edition of the earlier book of the same title. 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. The book presents convection studies in a variety of fluid and porous media contexts. It begins at an elementary level and should be accessible to a wide audience of applied mathematicians, physicists, and engineers.

Written for:
Researchers and graduate students in applied mathematics, physics, and engineering

Contents

• Introduction
• Illustration of the energy method
• The Navier-Stokes equations and the B´enard problem
• Symmetry, competing e.ects, and coupling parameters
• Convection problems in a half space
• Generalized energies and the Lyapunov method
• Geophysical problems
• Surface tension driven convection
• Convection in generalized fluids
• Time dependent basic states
• Electrohydrodynamic and magnetohydrodynamic convection
• Ferrohydrodynamic convection
• Reacting viscous fluids
• Multi-component convection diffusion
• Convection in a compressible fluid
• Temperature dependent fluid properties
• Penetrative convection
• Nonlinear stability in ocean circulation models
• Numerical solution of eigenvalue problems

• A Useful inequalities
• References
• Index