Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations - Couverture rigide

Sachdev

 
9780387878089: Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations

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.

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Autres éditions populaires du même titre

9781461424901: Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations

Edition présentée

ISBN 10 :  1461424909 ISBN 13 :  9781461424901
Editeur : Springer, 2012
Couverture souple