Asymptotic Behaviour of Solutions of Evolutionary Equations by M I Vishik

Asymptotic Behaviour of Solutions of Evolutionary Equations by M I Vishik

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Summary

The theme of this book is the investigation of globally asymptotic solutions of evolutionary equations. The lectures on which it is based were warmly received at the universities of Rome and Pavia, and at the Scuola Normale Superiore in Pisa. Here Professor Vishik has collated his lecture notes.

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Asymptotic Behaviour of Solutions of Evolutionary Equations by M I Vishik

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.
"..makes a valuable contribution to the rich existing literature on the asymptotic behavior of solutions of nonlinear evolution equations." Piotr Biler, Mathematical Reviews
SKU Unavailable
ISBN 13 9780521420235
ISBN 10 0521420237
Title Asymptotic Behaviour of Solutions of Evolutionary Equations
Author M I Vishik
Series Lezioni Lincee
Condition Unavailable
Binding Type Hardback
Publisher Cambridge University Press
Year published 1993-01-28
Number of pages 168
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.