Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations - Couverture souple
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.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
Présentation de l'éditeur
The goals of this text are to prove or disprove the solution of reduced nonlinear ODE's by different analytic methods, and to show that these solutions are intermediate asymptotics of a class of initial/boundary conditions arising from physical considerations.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations (Springer Monographs in Mathematics)
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Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations
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ISBN 10 : 1461424909
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 244 pp. Englisch. N° de réf. du vendeur 9781461424901
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Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations
Edité par
Springer New York, 2012
ISBN 10 : 1461424909
ISBN 13 : 9781461424901
Neuf
Couverture souple
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 givescon. N° de réf. du vendeur 4197486
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Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations (Springer Monographs in Mathematics)
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Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations
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Springer New York, Springer US Feb 2012, 2012
ISBN 10 : 1461424909
ISBN 13 : 9781461424901
Neuf
Taschenbuch
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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 244 pp. Englisch. N° de réf. du vendeur 9781461424901
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Taschenbuch. Etat : Neu. 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. N° de réf. du vendeur 9781461424901
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Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations (Springer Monographs in Mathematics)
Edité par
Springer, 2012
ISBN 10 : 1461424909
ISBN 13 : 9781461424901
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