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Book synopsis

This book discusses nonlinear partial differential equations which, in exceptional circumstances, possess certain symmetries: they are invarient to a class of finite or infinitesimal transformations.§The goals of this text are to prove the existence or otherwise solution of reduced nonlinear ODE's by different analytic methods, and to show that these solutions form intermediate asymptotics of a class of initial/boundary conditions arising from physical considerations.§The book covers both theory and computations.§The asymptotic methods include self-similarity, balancing argument, and matched asymptotic expansions. The physical models discussed relate to porous media equation, heat equation with absorption, generalized Fisher's equation, Burgers equation and its generalizations. A chapter is devoted to nonlinear diffusion and fluid mechanics.§The book will be useful applied mathematicians, physicists, engineers and biologists, and would considerably help understand diverse natural phenomena.

Book details

Book category Books in English Mathematics & science Mathematics Calculus & mathematical analysis

• Full title: Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations
• Author: P. L. Sachdev, Ch. Srinivasa Rao
• Language: English
• Binding: Hardback
• Number of pages: 231
• EAN: 9780387878089
• ISBN: 0387878084
• ID: 02105834
• Publisher: Springer-Verlag New York Inc.
• Weight: 500 g
• Dimensions: 243 × 167 × 21 mm
• Date of publishing: 01. November 2009

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