Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations

P. L. Sachdev

ISBN 10: 1461424909 / ISBN 13: 9781461424901

Published by Springer, Humana, 2012

About this Item

Druck auf Anfrage Neuware - Printed after ordering - A large number of physical phenomena are modeled by nonlinear partialdifferential equations, subject to appropriate initial/ boundary conditions; theseequations, in general, do not admit exact solution. The present monograph givesconstructive mathematical techniques which bring out large time behavior ofsolutions of these model equations. These approaches, in conjunction with moderncomputational methods, help solve physical problems in a satisfactory manner. Theasymptotic methods dealt with here include self-similarity, balancing argument,and matched asymptotic expansions. The physical models discussed in some detailhere relate to porous media equation, heat equation with absorption, generalizedFisher's equation, Burgers equation and its generalizations. A chapter each isdevoted to nonlinear diffusion and fluid mechanics. The present book will be founduseful by applied mathematicians, physicists, engineers and biologists, and wouldconsiderably help understand diverse natural phenomena.

Seller Inventory # 9781461424901

Bibliographic Details

• Title: Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations
• Publisher: Springer, Humana
• Publication Date: 2012
• Language: English
• ISBN 10: 1461424909
• ISBN 13: 9781461424901
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 14D millimeters 235 millimeters width by 155 millimeters height by 14 millimeters depth
• Weight: 376 grams

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.