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Gromov-hausdorff stability of dynami...

Lee, Jihoon.

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Gromov-hausdorff stability of dynamical systems and applications to PDEs

Record Type:	Electronic resources : Monograph/item
Title/Author:	Gromov-hausdorff stability of dynamical systems and applications to PDEs/ by Jihoon Lee, Carlos Morales.
Author:	Lee, Jihoon.
other author:	Morales, Carlos.
Published:	Cham :Springer International Publishing : : 2022.,
Description:	viii, 166 p. :ill., digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer Nature eBook
Subject:	Geometry, Differential. -
Online resource:	https://doi.org/10.1007/978-3-031-12031-2
ISBN:	9783031120312

Gromov-hausdorff stability of dynamical systems and applications to PDEs
Lee, Jihoon.

Gromov-hausdorff stability of dynamical systems and applications to PDEs[electronic resource] /by Jihoon Lee, Carlos Morales. - Cham :Springer International Publishing :2022. - viii, 166 p. :ill., digital ;24 cm. - Frontiers in mathematics,1660-8054. - Frontiers in mathematics..

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.

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: 9783031120312

Standard No.: 10.1007/978-3-031-12031-2doiSubjects--Topical Terms:

523835
Geometry, Differential.

LC Class. No.: QA641 / .L44 2022

Dewey Class. No.: 516.36

Gromov-hausdorff stability of dynamical systems and applications to PDEs
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260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhäuser, $c 2022.
300 $a viii, 166 p. : $b ill., digital ; $c 24 cm.
490 1 $a Frontiers in mathematics, $x 1660-8054
505 0 $a 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.
520 $a 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.
650 0 $a Geometry, Differential. $3 523835
650 0 $a Differential equations, Partial. $3 518115
650 0 $a Differentiable dynamical systems. $3 524351
650 1 4 $a Dynamical Systems. $3 3538746
650 2 4 $a Differential Equations. $3 907890
650 2 4 $a Differential Geometry. $3 891003
700 1 $a Morales, Carlos. $3 3607875
710 2 $a SpringerLink (Online service) $3 836513
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830 0 $a Frontiers in mathematics. $3 1535268
856 4 0 $u https://doi.org/10.1007/978-3-031-12031-2
950 $a Mathematics and Statistics (SpringerNature-11649)