Library Services | Technical University of Kenya

Your cart is empty.
Normal view MARC view ISBD view

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

By: Sachdev, P.L [author.].
Contributor(s): Srinivasa Rao, Ch [author.] | SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Springer Monographs in Mathematics: Publisher: New York, NY : Springer New York, 2010Description: VIII, 231p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9780387878096.Subject(s): Mathematics | Differential equations, partial | Mathematical physics | Mathematics | Partial Differential Equations | Mathematical Methods in Physics | Classical Continuum Physics | Applications of MathematicsDDC classification: 515.353 Online resources: Click here to access online
Contents:
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.
In: Springer eBooksSummary: 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.
Tags from this library: No tags from this library for this title. Log in to add tags.
No physical items for this record

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.

There are no comments for this item.

Log in to your account to post a comment.

2017 | The Technical University of Kenya Library | +254(020) 2219929, 3341639, 3343672 | library@tukenya.ac.ke | Haile Selassie Avenue