ENGLISH

Asymptotic Behaviour of Solutions of Evolutionary Equations

By M. I. Vishik

Book information

Publisher
Cambridge University Press
Year
1992
ISBN
9780521422376, 9780521420235, 9780511608780, 052142237X, 0521420237, 0511608780
LCC
QA377 .V56 1992
Google Books ID
nWYK0QA8O-oC
Open Library ID
OL1712330M
Language
english
Format
DJVU
Filesize
606 kB (620296 bytes)
Series
Lezioni Lincee
Pages
165\165
Library
Kolxo3
DPI
300
Time added
2010-07-29 05:14:56

Description

The theme of this book is the investigation of globally asymptotic solutions of evolutionary equations, which are useful in the study of dynamical systems. The author begins with a construction of local asymptotics near the equilibrium points of Navier-Stokes equations, reaction-diffusion equations, and hyperbolic equations, which leads to a construction of global spectral asymptotics of solution of evolutionary equations, which are analogous to Fourier asymptotics in the linear case. He then deals with the global approximation of solutions of perturbed reaction diffusion equations, hyperbolic equations with dissipation, and parabolic systems. Finally, Dr. Vishik constructs the first asymptotic approximations of solution of singularly perturbed evolutionary equations.

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