The Energy Method, Stability, and Nonlinear Convection

Brian Straughan - Collection Applied Mathematical Sciences

447 pages, parution le 17/12/2003 (2^eme édition)

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Résumé

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

Introduction
Illustration of the energy method
The Navier-Stokes equations and the BŽenard 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

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Brian Straughan
Collection	Applied Mathematical Sciences
Parution	17/12/2003
Édition	2^eme édition
Nb. de pages	447
Format	16 x 24
Couverture	Relié
Poids	750g
Intérieur	Noir et Blanc
EAN13	9780387004532
ISBN13	978-0-387-00453-2