Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations [recurso electrónico] / by P.L. Sachdev, Ch. Srinivasa Rao.

Por: Sachdev, P.L [author.]Colaborador(es): Srinivasa Rao, Ch [author.] | SpringerLink (Online service)Tipo de material: TextoTextoSeries Springer Monographs in MathematicsEditor: New York, NY : Springer New York, 2010Descripción: VIII, 231p. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9780387878096Tema(s): Mathematics | Differential equations, partial | Mathematical physics | Mathematics | Partial Differential Equations | Mathematical Methods in Physics | Classical Continuum Physics | Applications of MathematicsFormatos físicos adicionales: Printed edition:: Sin títuloClasificación CDD: 515.353 Clasificación LoC:QA370-380Recursos en línea: Libro electrónicoTexto
Contenidos:
Large Time Asymptotics for Solutions of Nonlinear First-Order Partial Differential Equations -- Large Time Asymptotic Analysis of Some Nonlinear Parabolic Equations – Some Constructive Approaches -- Self-Similar Solutions as Large Time Asymptotics for Some Nonlinear Parabolic Equations -- Asymptotics in Fluid Mechanics.
En: Springer eBooksResumen: 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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Colección de Libros Electrónicos QA370 -380 (Browse shelf(Abre debajo)) 1 No para préstamo 370308-2001

Large Time Asymptotics for Solutions of Nonlinear First-Order Partial Differential Equations -- Large Time Asymptotic Analysis of Some Nonlinear Parabolic Equations – 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.

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