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

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

9783031120312 (electronic bk.)
3031120310 (electronic bk.)
9783031120305
3031120302

Cham : Birkhäuser, 2022.

English

1 online resource (1 volume).

10.1007/978-3-031-12031-2 doi

QA641

516.3/6

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. .

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Frontiers in mathematics.

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