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

Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations

    • 119,99 €
    • 119,99 €

Publisher Description

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.

GENRE
Science & Nature
RELEASED
2009
29 October
LANGUAGE
EN
English
LENGTH
239
Pages
PUBLISHER
Springer New York
SIZE
5.5
MB

More Books by P.L. Sachdev & Ch. Srinivasa Rao

Self-Similarity and Beyond Self-Similarity and Beyond
2019
Recent Advances in Differential Equations Recent Advances in Differential Equations
2020