Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations

• Main Authors: Sachdev, P.L. (Author), Srinivasa Rao, Ch. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: New York, NY : Springer New York, 2010.
• Series: Springer Monographs in Mathematics,
• Subjects: Mathematics.; Differential equations, partial.; Mathematical physics.; Partial Differential Equations.; Mathematical Methods in Physics.; Classical Continuum Physics.; Applications of Mathematics.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-0-387-87809-6

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 beh...

Table of Contents:

• Introduction
• 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
• Index.