Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations

P L Sachdev, Ch Srinivasa Rao

ISBN 10: 0387878084 ISBN 13: 9780387878089

Published by SPRINGER NATURE, 2009

Language: English

Condition: Used - Fine Hardcover

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Bibliographic Details

Title

Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations

Publisher

SPRINGER NATURE

Publication Date

2009

Language

English

ISBN 10

0387878084

ISBN 13

9780387878089

Binding

Hardcover

Condition

Sehr gut

Seller catalogs

B�cher

About this title

Synopsis

A large number of physical phenomena are modeled by nonlinear partial

differential equations, subject to appropriate initial/ boundary conditions; these

equations, in general, do not admit exact solution. The present monograph gives

constructive mathematical techniques which bring out large time behavior of

solutions of these model equations. These approaches, in conjunction with modern

computational methods, help solve physical problems in a satisfactory manner. The

asymptotic methods dealt with here include self-similarity, balancing argument,

and matched asymptotic expansions. The physical models discussed in some detail

here relate to porous media equation, heat equation with absorption, generalized

Fisher's equation, Burgers equation and its generalizations. A chapter each is

devoted to nonlinear diffusion and fluid mechanics. The present book will be found

useful by applied mathematicians, physicists, engineers and biologists, and would

considerably help understand diverse natural phenomena.

From the Back Cover

A large number of physical phenomena are modeled by nonlinear partial differential equations, subject to appropriate initial/ boundary conditions; these equations, in general, do not admit exact solution. The present monograph gives constructive mathematical techniques which bring out large time behavior of solutions of these model equations. These approaches, in conjunction with modern computational methods, help solve physical problems in a satisfactory manner.

The asymptotic methods dealt with here include self-similarity, balancing argument, and matched asymptotic expansions. The physical models discussed in some detail here relate to porous media equation, heat equation with absorption, generalized Fisher's equation, Burgers equation and its generalizations.

A chapter each is devoted to nonlinear diffusion and fluid mechanics. The present book will be found useful by applied mathematicians, physicists, engineers and biologists, and would considerably help understand diverse natural phenomena.

"About this title" may belong to another edition of this title.

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