Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations

Ch. Srinivasa Rao P.L. Sachdev

ISBN 10: 1461424909 / ISBN 13: 9781461424901

Verlag: Springer, 2012

Beschreibung

pp. 244.

Bestandsnummer des Verkäufers 2614419493

Bibliografische Details

• Titel: Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations
• Verlag: Springer
• Erscheinungsjahr: 2012
• Sprache: Englisch
• ISBN-10: 1461424909
• ISBN-13: 9781461424901
• Einband: Softcover
• Zustand: New

Über diesen Titel

Inhaltsangabe

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.