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Gromov-Hausdorff Stability of Dynamical Systems and Applications to PDEs

Gromov-Hausdorff Stability of Dynamical Systems and Applications to PDEs

by Jihoon Lee and Carlos Morales
Paperback
Publication Date: 31/10/2022

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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.
ISBN:
9783031120305
9783031120305
Category:
Nonlinear science
Format:
Paperback
Publication Date:
31-10-2022
Publisher:
Birkhauser Verlag AG
Country of origin:
Switzerland
Pages:
166
Dimensions (mm):
240x168mm
Weight:
0.31kg

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