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, flows, and group actions on these spaces. They also focus on the stability of certain dynamical objects like shifts, global attractors, and inertial manifolds. Applications to dissipative PDEs, such as the reaction-diffusion and Chafee-Infante equations, are explored in the second part. This text will be of interest to graduates students and researchers working in the areas of topological dynamics and PDEs.
- ISBN13 9783031120305
- Publish Date 22 September 2022
- Publish Status Forthcoming
- Publish Country CH
- Imprint Birkhauser Verlag AG
- Edition 1st ed. 2022
- Format Paperback
- Pages 160
- Language English