Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations

Buch | Hardcover
231 Seiten
2009
Springer-Verlag New York Inc.
978-0-387-87808-9 (ISBN)

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Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations - P.L. Sachdev, Ch. Srinivasa Rao
106,99 inkl. MwSt
The physical models discussed in some detailhere relate to porous media equation, heat equation with absorption, generalized

Fisher's equation, Burgers equation and its generalizations.
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.

Large Time Asymptotics for Solutions of Nonlinear First-Order Partial Differential Equations.- Large Time Asymptotic Analysis of Some Nonlinear Parabolic Equations #x2013; Some Constructive Approaches.- Self-Similar Solutions as Large Time Asymptotics for Some Nonlinear Parabolic Equations.- Asymptotics in Fluid Mechanics.

Reihe/Serie Springer Monographs in Mathematics
Zusatzinfo VIII, 231 p.
Verlagsort New York, NY
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Angewandte Mathematik
Naturwissenschaften Physik / Astronomie Mechanik
ISBN-10 0-387-87808-4 / 0387878084
ISBN-13 978-0-387-87808-9 / 9780387878089
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