01173nam2-2200409---450-99000074597020331620051019150901.03-487-00559-X0074597USA010074597(ALEPH)000074597USA01007459720011115d1980----km-y0itay0103----bagerDE||||||||001yyVögel, Reptilien, Fische...2von Otto Kellermit Gesamtregister von Eugen StaigerHildsheimG. Olms198023 cm200100100745952001<<Die>> antike TierweltZoologiaAnimali mitici591KELLER,Otto391700STAIGER,EugenITsalbcISBD990000745970203316II.6. 1000/2(VIII A 925/II)119389 LMVIII ABKUMAPATTY9020011115USA01133820020403USA011722PATRY9020040406USA011651COPAT69020051019USA011509Vögel, Reptilien, Fische..963677UNISA03082nam 22006255 450 991062438000332120251113175200.03-031-12031-010.1007/978-3-031-12031-2(MiAaPQ)EBC7127696(Au-PeEL)EBL7127696(CKB)25219360800041(PPN)265856167(OCoLC)1351219412(DE-He213)978-3-031-12031-2(EXLCZ)992521936080004120221030d2022 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierGromov-Hausdorff Stability of Dynamical Systems and Applications to PDEs /by Jihoon Lee, Carlos Morales1st ed. 2022.Cham :Springer International Publishing :Imprint: Birkhäuser,2022.1 online resource (169 pages)Frontiers in Mathematics,1660-8054Print version: Lee, Jihoon Gromov-Hausdorff Stability of Dynamical Systems and Applications to PDEs Cham : Springer International Publishing AG,c2023 9783031120305 Includes bibliographical references.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. .Frontiers in Mathematics,1660-8054DynamicsDifferential equationsGeometry, DifferentialDynamical SystemsDifferential EquationsDifferential GeometryDynamics.Differential equations.Geometry, Differential.Dynamical Systems.Differential Equations.Differential Geometry.515.352516.36Lee Jihoon1263810Rojas Carlos Arnoldo MoralesMiAaPQMiAaPQMiAaPQBOOK9910624380003321Gromov-Hausdorff Stability of Dynamical Systems and Applications to PDEs2962669UNINA