Large time asymptotics for solutions of nonlinear partial differential equations

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 beh...

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Autori principali: Sachdev, P. L., Srinivasa Rao, Ch., 19..- (Autore)
Natura: Livre numérique
Lingua:Anglais
Pubblicazione: New York, NY : Springer New York [20..].
Cham : Springer Nature
Edizione:1st ed. 2010.
Serie:Springer Monographs in Mathematics
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Nota: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• Large time asymptotics for solutions of nonlinear partial differential equations, P. L. Sachdev, Ch. Srinivasa Rao, New York, Springer, 2010, 1 vol. (VIII-235 p.), Springer monographs in mathematics, 978-0-387-87808-9
• Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations, Texte imprimé, 9780387879383
• Large time asymptotics for solutions of nonlinear partial differential equations, P. L. Sachdev, Ch. Srinivasa Rao, New York, Springer, 2010, 1 vol. (VIII-235 p.), Springer monographs in mathematics, 978-0-387-87808-9
• Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations, Texte imprimé, 9781461424901
Descrizione
Riassunto: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
Descrizione del documento:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:9780387878096
ISSN:2196-9922
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