Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations

Sachdev, P. L.; Srinivasa Rao, Ch.

ISBN 10: 1461424909 / ISBN 13: 9781461424901

Published by Springer-Verlag New York Inc., 2012

The goals of this text are to prove or disprove the solution of reduced nonlinear ODE's by different analytic methods, and to show that these solutions are intermediate asymptotics of a class of initial/boundary conditions arising from physical considerations. Series: Springer Monographs in Mathematics. Num Pages: 239 pages, biography. BIC Classification: PBKJ; PBW; PHD; PHU. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 13. Weight in Grams: 379. . 2012. Paperback. . . . . Seller Inventory # V9781461424901

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.

Bibliographic Details

Title: Large Time Asymptotics for Solutions of ...
Publisher: Springer-Verlag New York Inc.
Publication Date: 2012
Binding: Soft cover
Condition: New