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Asymptotic Behaviour of Solutions of Evolutionary Equations

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Asymptotic Behaviour of Solutions of Evolutionary Equations Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

A short but sweet summary of globally asymptotic solutions of evolutionary equations.

Table of Contents

1. Preliminaries; 2. Local spectral asymptotics; 3. Global spectral asymptotics; 4. Uniform approximation of trajectories of solutions of semigroups depending on a parameter; 5. The asymptotics of solutions of reaction diffusion equations with small parameter; 6. Asymptotics of elements lying on the attractor of solutions of the perturbed evolutionary equations; 7. Asymptotics of solutions of singular perturbed evolutionary equations; Appendix.

Product Details

ISBN:
9780521420235
Author:
Vishik, M. I.
Publisher:
Cambridge University Press
Author:
Radicati Di Brozolo, Luigi A.
Author:
Luigi A. Radicati di Brozolo
Location:
Cambridge
Subject:
Probability
Subject:
Evolution equations -- Asymptotic theory.
Subject:
General Mathematics
Subject:
Evolution equations
Subject:
Asymptotic theory
Subject:
Differential Equations - Partial Differential Equations
Subject:
Probability & Statistics - General
Subject:
General-General
Series:
Lezioni Lincee
Publication Date:
20080131
Binding:
Hardcover
Grade Level:
Professional and scholarly
Language:
English
Pages:
168
Dimensions:
8.50x5.50x.50 in. .80 lbs.

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Asymptotic Behaviour of Solutions of Evolutionary Equations New Hardcover
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Product details 168 pages Cambridge University Press - English 9780521420235 Reviews:
"Synopsis" by , A short but sweet summary of globally asymptotic solutions of evolutionary equations.
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