The Energy Method, Stability, and Nonlinear Convection / Edition 2

by Brian Straughan

Overview

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.

Product Details

ISBN-13:	9781441918246
Publisher:	Springer New York
Publication date:	11/29/2010
Series:	Applied Mathematical Sciences , #91
Edition description:	Softcover reprint of hardcover 2nd ed. 2004
Pages:	450
Product dimensions:	6.10(w) x 9.25(h) x (d)

Table of Contents

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.

Editorial Reviews

From the reviews of the second edition:

"This application-oriented book is a revised edition … more definitions, new interpretations and new results are included, some chapters are enlarged, 6 chapters are added. … the presentation is very clear, making the book useful to undergraduate and graduate students in applied mathematics too. … The main text and the very rich list of references reflect the interests and results of the author and his collaborators. The book makes a good contribution to the literature on stability of fluid flows … ." (Adelina Georgescu, Mathematical Reviews, 2004i)

From the Publisher

A textbook for a graduate or undergraduate course, describing a technique for deriving quantitative nonlinear stability results in hydrodynamic convection problems. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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