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Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations (Springer Monographs in Mathematics) - Softcover
Inhaltsangabe
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.
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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.
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Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations
Verlag:
Springer New York, Springer US, 2012
ISBN 10: 1461424909
ISBN 13: 9781461424901
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Taschenbuch. Zustand: 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. Artikel-Nr. 9781461424901
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Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations (Springer Monographs in Mathematics)
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