Dynamics of Evolutionary Equations

The theory and applications of infinite dimensional dynamical systems have attracted the attention of scientists for quite some time. Dynamical issues arise in equations that attempt to model phenomena that change with time. The infi­ nite dimensional aspects occur when forces that describe the moti...

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Main Authors: Sell, George R., You, Yuncheng (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York, NY Springer New York 2002, 2002
Edition:1st ed. 2002
Series:Applied Mathematical Sciences
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • Basic Theory
  • 3. Linear Semigroups
  • 4. Basic Theory of Evolutionary Equations
  • 5. Nonlinear Partial Differential Equations
  • 6. Navier-Stokes Dynamics
  • 7. Major Features of Dynamical Systems
  • 8. Inertial Manifolds: The Reduction Principle
  • Appendices: Basics of Functional Analysis
  • A Banach Spaces and Fréchet Spaces
  • B Function Spaces and Sobolev Imbedding Theorems
  • C Calculus of Vector-Valued Functions
  • D Basic Inequalities
  • E Commentary
  • Notation Index