Asymptotic Behaviour of Solutions

By: M. I. Vishik

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Paperback | 29 March 1993

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166 Pages

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The theme of this book is the investigation of globally asymptotic solutions of evolutionary equations. Locally asymptotic solutions of the Navier-Stokes equations and reaction-diffusion equations are the starting point, and by considering perturbed evolutionary equations, global approximations are constructed. The lectures upon which this book 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, and has added an appendix describing his recent work on attractors deriving from dynamical systems. This is unquestionably a fine addition to the Lezioni Lincee, and will be a necessary addition to the library of all who seek an insight into the solution of evolutionary equations.

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"...makes a valuable contribution to the rich existing literature on the asymptotic behavior of solutions of nonlinear evolution equations." Piotr Biler, Mathematical Reviews

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You Can Find This Book In

Non-Fiction Mathematics Calculus & Mathematical Analysis Numerical Analysis Differential Calculus & Equations Probability & Statistics

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
Table of Contents provided by Publisher. All Rights Reserved.

Asymptotic Behaviour of Solutions

At a Glance

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How to return your order

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