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Asymptotic Behaviour of Solutions of Evolutionary Equations

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ISBN-10: 0521420237

ISBN-13: 9780521420235

Edition: 1992

Authors: M. I. Vishik

List price: $109.95
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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…    
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Book details

List price: $109.95
Copyright year: 1992
Publisher: Cambridge University Press
Publication date: 1/28/1993
Binding: Hardcover
Pages: 168
Size: 6.00" wide x 9.00" long x 0.75" tall
Weight: 0.748

Preliminaries
Local spectral asymptotics
Global spectral asymptotics
Uniform approximation of trajectories of solutions of semigroups depending on a parameter
The asymptotics of solutions of reaction diffusion equations with small parameter
Asymptotics of elements lying on the attractor of solutions of the perturbed evolutionary equations
Asymptotics of solutions of singular perturbed evolutionary equations
Appendix