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The Energy Method, Stability, and Nonlinear Convection Brian Straughan

The Energy Method, Stability, and Nonlinear Convection By Brian Straughan

The Energy Method, Stability, and Nonlinear Convection by Brian Straughan


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Summary

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 Energy Method, Stability, and Nonlinear Convection Summary

The Energy Method, Stability, and Nonlinear Convection by Brian Straughan

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 Energy Method, Stability, and Nonlinear Convection 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)

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.

Additional information

NPB9780387004532
9780387004532
038700453X
The Energy Method, Stability, and Nonlinear Convection by Brian Straughan
New
Hardback
Springer-Verlag New York Inc.
2003-10-01
450
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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Customer Reviews - The Energy Method, Stability, and Nonlinear Convection