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.
By:
Igor Chueshov, Björn Schmalfuß Imprint: Springer Nature Switzerland AG Country of Publication: Switzerland Edition: 2020 ed. Volume: 204 Dimensions:
Height: 235mm,
Width: 155mm,
Weight: 694g ISBN:9783030470906 ISBN 10: 3030470903 Series:Applied Mathematical Sciences Pages: 329 Publication Date:29 July 2020 Audience:
Professional and scholarly
,
Undergraduate
Format:Hardback Publisher's Status: Active
Reviews for Synchronization in Infinite-Dimensional Deterministic and Stochastic Systems
The book ends with full references and an index. The book is a self-contained piece ... . (Yilun Shang, Mathematical Reviews, March, 2022)