Gromov-Hausdorff Stability of Dynamical Systems and Applications to PDEs
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...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Cham
Birkhäuser
2022, 2022
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| Edition: | 1st ed. 2022 |
| Series: | Frontiers in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
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