The energy method, stability, and nonlinear convection/

Straughan, B.

The energy method, stability, and nonlinear convection/ Brian Straughan. - 2nd ed. - New York : Springer, c2004. - xii, 442 p. : ill. ; 25 cm.

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.

038700453X


Fluid dynamics.
Differential equations, Nonlinear--Numerical solutions.
Heat--Convection--Mathematical models.

510 / STR/E
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