Zgurovsky / Kasyanov / Kapustyan Evolution Inclusions and Variation Inequalities for Earth Data Processing III

Long-Time Behavior of Evolution Inclusions Solutions in Earth Data Analysis
1. Auflage 2012
ISBN: 978-3-642-28512-7
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 330 Seiten

Reihe: Mathematics and Statistics

In this sequel to two earlier volumes, the authors now focus on the long-time behavior of evolution inclusions, based on the theory of extremal solutions to differential-operator problems. This approach is used to solve problems in climate research, geophysics, aerohydrodynamics, chemical kinetics or fluid dynamics. As in the previous volumes, the authors present a toolbox of mathematical equations. The book is based on seminars and lecture courses on multi-valued and non-linear analysis and their geophysical application.

Zielgruppe

Research

Autoren/Hrsg.

Zgurovsky, Mikhail Z.

Kasyanov, Pavlo O.

Kapustyan, Oleksiy V.

Valero, José

Zadoianchuk, Nina V.

Inhaltsverzeichnis

Introduction: Long-time Behaviour of Evolution Inclusions Solutions in Earth Data Analysis.- Part I Long-time Behaviour of Autonomous Differential-Operator Systems Solutions for Earth Data Processing: Abstract Theory of Multivalued Semiflows.- Auxiliary Properties of Evolution Inclusions Solutions for Earth Data Processing.- Attractors for Lattice Dynamical Systems.- Part II Long-time Behaviour of Nonautonomous Differential-Operator Systems Solutions for Earth Data Processing: On Global Attractors of Multivalued Semiprocesses and Nonautonomous Evolution Inclusions.- On the Kneser Property for the Complex Ginzburg-Landau Equation and the Lotka-Volterra System with Diffusion.- Pullback Attractors for a Class of Extremal Solutions of the 3D Navier-Stokes System.- Properties of Resolving Operator for Nonautonomous Evolution Inclusions: Pullback Attractors.- Functional Spaces. The Embedding and Approximation Theorems.