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＜電子ブック＞
Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations / by P.L. Sachdev, Ch. Srinivasa Rao
(Springer Monographs in Mathematics. ISSN:21969922)

版	1st ed. 2010.
出版者	(New York, NY : Springer New York : Imprint: Springer)
出版年	2010
本文言語	英語
大きさ	VIII, 231 p : online resource
著者標目	*Sachdev, P.L author Srinivasa Rao, Ch author SpringerLink (Online service)
件　名	LCSH:Differential equations LCSH:Mathematical physics LCSH:Physics LCSH:Mathematics FREE:Differential Equations FREE:Mathematical Methods in Physics FREE:Classical and Continuum Physics FREE:Applications of Mathematics
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-0-387-87809-6

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