Energy Method, Stability, and Nonlinear Convection

Name: Energy Method, Stability, and Nonlinear Convection
Brand: Springer-Verlag New York Inc.
SKU: 9781441918246
Price: 551.47 RON
Availability: InStock

Autor: Brian Straughan

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Editura: Springer-Verlag New York Inc.

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This book describes the energy method, a powerful technique for deriving nonlinear stability estimat...

Informații despre carte

Autor

Brian Straughan

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2010

Pagini

450

EAN

9781441918246

ISBN

1441918248

Enbook ID

01420749

Editura

Springer-Verlag New York Inc.

Greutate

1430

Dimensiuni

155 x 235 x 25

Descriere completă

This book describes the energy method, a powerful technique for deriving nonlinear stability estimates in thermal convection contexts. It includes a very readable introduction to the subject (Chapters 2-4), which begins at an elementary level and explains the energy method in great detail, and also covers the current topic of convection in porous media, introducing simple models and then showing how useful stability results can be derived. In addition to the basic explanation, many examples from diverse areas of fluid mechanics are described. The book also mentions new areas where the methods are being used, for example, mathematical biology and finance. Several of the results given are published here for the first time.§This volume is a completely revised version of the first edition published in 1992. In addition to an update of material from the first edition, six new chapters have been added, covering topics such as multi-component convection-diffusion, convection flows in a compressible fluid, models of penetrative convection, convection with temperature-dependent viscosity and thermal conductivity, and stability of ocean flows. The final chapter gives details of two very different but highly accurate and efficient methods for numerically solving eigenvalue problems that arise in hydrodynamic stability. §The new methods developed during the last eleven years and presented here will be of use to many readers in applied mathematics, engineering, physics, and other mathematical disciplines.

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Energy Method, Stability, and Nonlinear Convection

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