Contents

pp v-vi

Introduction

pp vii-xxvi

Preface

pp xxvii-xxviii

Part I - Attractors for the Semigroups of Operators: An Abstract Framework

pp 1-2

1 - Basic notions

pp 3-5

2 - Semigroups of class K

pp 6-10

3 - Semigroups of class AK

pp 11-13

Afterword

pp 14-14

4 - On dimensions of compact invariant sets

pp 15-30

Part II - Semigroups Generated by Evolution Equations

pp 31-32

5 - Introduction to Part II

pp 33-34

6 - Estimates for the number of determining modes and the fractal dimension of bounded invariant sets for the Navier–Stokes equations

pp 35-38

7 - Evolution equations of hyperbolic type

pp 39-65

References

pp 66-67

Index

pp 68-68