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  3. Asymptotic Behaviour of Solutions of Evolutionary Equations
  • Cited by 11
Publisher:
Cambridge University Press
Online publication date:
November 2009
Print publication year:
1993
Online ISBN:
9780511608780
DOI:
https://doi.org/10.1017/CBO9780511608780
Subjects:
Mathematics (general), Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory
Series:
Lezioni Lincee
Information

Book description

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 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.

Reviews

"...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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