TY  - BOOK
AU  - Sachdev,P.L.
AU  - Srinivasa Rao,Ch
ED  - SpringerLink (Online service)
TI  - Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations
T2  - Springer Monographs in Mathematics,
SN  - 9780387878096
AV  - QA370-380 
U1  - 515.353 23
PY  - 2010///
CY  - New York, NY
PB  - Springer New York
KW  - Mathematics
KW  - Differential equations, partial
KW  - Mathematical physics
KW  - Partial Differential Equations
KW  - Mathematical Methods in Physics
KW  - Classical Continuum Physics
KW  - Applications of Mathematics
N1  - 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
N2  - 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
UR  - http://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-0-387-87809-6
ER  -