Dynamics Of Quasi Stable Dissipative Systems
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Dynamics of Quasi-Stable Dissipative Systems
This book is devoted to background material and recently developed mathematical methods in the study of infinite-dimensional dissipative systems. The theory of such systems is motivated by the long-term goal to establish rigorous mathematical models for turbulent and chaotic phenomena. The aim here is to offer general methods and abstract results pertaining to fundamental dynamical systems properties related to dissipative long-time behavior. The book systematically presents, develops and uses the quasi-stability method while substantially extending it by including for consideration new classes of models and PDE systems arising in Continuum Mechanics. The book can be used as a textbook in dissipative dynamics at the graduate level. Igor Chueshov is a Professor of Mathematics at Karazin Kharkov National University in Kharkov, Ukraine.
Contemporary Approaches and Methods in Fundamental Mathematics and Mechanics
Author: Victor A. Sadovnichiy
language: en
Publisher: Springer Nature
Release Date: 2020-11-24
This book focuses on the latest approaches and methods in fundamental mathematics and mechanics, and discusses the practical application of abstract mathematical approaches, such as differential geometry, and differential and difference equations in solid mechanics, hydrodynamics, aerodynamics, optimization, decision-making theory and control theory. Featuring selected contributions to the open seminar series of Lomonosov Moscow State University and Igor Sikorsky Kyiv Polytechnic Institute by mathematicians from China, Germany, France, Italy, Spain, Russia, Ukraine and the USA, the book will appeal to mathematicians and engineers working at the interface of these fields
Attractors for Semigroups and Evolution Equations
Author: Olga A. Ladyzhenskaya
language: en
Publisher: Cambridge University Press
Release Date: 2022-06-09
Ladyzhenskaya's survey of her work on partial differential equations and dynamical systems, with a new technical introduction.