Synchronization in Infinite-Dimensional De...

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Beschreibung

The main goal of this book is to systematically address the mathematical methods that are applied in the study of synchronization of infinite-dimensional evolutionary dissipative or partially dissipative systems. It bases its unique monograph presentation on both general and abstract models and covers several important classes of coupled nonlinear deterministic and stochastic PDEs which generate infinite-dimensional dissipative systems. This text, which adapts readily to advanced graduate coursework in dissipative dynamics, requires some background knowledge in evolutionary equations and introductory functional analysis as well as a basic understanding of PDEs and the theory of random processes. Suitable for researchers in synchronization theory, the book is also relevant to physicists and engineers interested in both the mathematical background and the methods for the asymptotic analysis of coupled infinite-dimensional dissipative systems that arise in continuum mechanics.

Zusammenfassung

Addresses several important classes of nonlinear PDEs

Adapts as a textbook for advanced graduate courses in dissipative dynamics

Appeals to both mathematicians interested in synchronization theory as well as physicists and engineers interested in mathematical background and methods for the asymptotic analysis of infinite-dimensional dissipative systems

Uniquely presents synchronization theory in the infinite-dimensional case at the monograph level

Remains accessible to advanced students and scientific professionals without deep knowledge of Sobolev theory and functional spaces

Inhaltsverzeichnis

Introduction.- Part I: Deterministic Systems.- Synchronization of global attractors and individual trajectories.- Master-slave synchronization via invariant manifolds.- Part II: Stochastic Systems.- Stochastic Synchronization of Random Pullback Attractors.- Master-slave synchronization in random systems.

Details

Erscheinungsjahr:	2020
Fachbereich:	Analysis
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	xix 329 S.
ISBN-13:	9783030470906
ISBN-10:	3030470903
Sprache:	Englisch
Einband:	Gebunden
Autor:	Schmalfuß, Björn Chueshov, Igor
Auflage:	1st edition 2020
Hersteller:	Springer International Publishing
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	241 x 160 x 25 mm
Von/Mit:	Björn Schmalfuß (u. a.)
Erscheinungsdatum:	29.07.2020
Gewicht:	0,694 kg

Artikel-ID: 118158644