Gromov-Hausdorff stability of dynamical systems and applications to PDEs

Gromov-Hausdorff stability of dynamical systems and applications to PDEs / Jihoon Lee, Carlos Arnoldo Morales Rojas.

This monograph presents new insights into the perturbation theory of dynamical systems based on the Gromov-Hausdorff distance. In the first part, the authors introduce the notion of Gromov-Hausdorff distance between compact metric spaces, along with the corresponding distance for continuous maps, fl...

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Bibliographic Details
Main Authors: Lee, Jihoon (Author), Rojas, Carlos Arnoldo Morales (Author)
Format: eBook
Language:English
Published: Cham : Birkhäuser, 2022.
Series:Frontiers in mathematics.
Subjects:
Geometry, Differential.
Differential equations, Partial.
Differentiable dynamical systems.
Geometría diferencial
Ecuaciones en derivadas parciales
Sistemas dinámicos diferenciables
Differentiable dynamical systems
Differential equations, Partial
Geometry, Differential
Sistemes dinàmics diferenciables.
Equacions en derivades parcials.
Geometria diferencial.
Llibres electrònics.
Online Access:Click for online access
Table of Contents:
  • Part I: Abstract Theory
  • Gromov-Hausdorff distances
  • Stability
  • Continuity of Shift Operator
  • Shadowing from Gromov-Hausdorff Viewpoint
  • Part II: Applications to PDEs
  • GH-Stability of Reaction Diffusion Equation
  • Stability of Inertial Manifolds
  • Stability of Chafee-Infante Equations.

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