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Gromov-Hausdorff Stability of Dynamical Systems and Applications to PDEs

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Gromov-Hausdorff Stability of Dynamical Systems and Applications to PDEs/ by Jihoon Lee, Carlos Morales.
作者:	Lee, Jihoon.
其他作者:	Morales, Carlos.
面頁冊數:	VIII, 166 p. 5 illus., 2 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Differential Geometry. -
電子資源:	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. - 1st ed. 2022. - VIII, 166 p. 5 illus., 2 illus. in color.online resource. - 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:

671118
Differential Geometry.

LC Class. No.: QA843-871

Dewey Class. No.: 515.39

Gromov-Hausdorff Stability of Dynamical Systems and Applications to PDEs
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