The Energy Method, Stability, and Nonlinear Convection

by Brian Straughan

Introduction*Illustration of the energy method*The Navier-Stokes equations and the Benard problem*Symmetry, Competing Effects, 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*Useful Inequalities*References*Index.

464 pages, Paperback

First published January 1, 1992