Evolution Inclusions and Variation Inequalities for Earth Data Processing III: Long-Time Behavior of Evolution Inclusions Solutions in Earth Data Analysis

✍ Scribed by Mikhail Z. Zgurovsky, Pavlo O. Kasyanov, Oleksiy V. Kapustyan, José Valero, Nina V. Zadoianchuk (auth.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 2012
• Tongue: English
• Leaves: 367
• Series: Advances in Mechanics and Mathematics 27
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages i-xli
Front Matter....Pages 1-1
Abstract Theory of Multivalued Semiflows....Pages 3-36
Auxiliary Properties of Evolution Inclusions Solutions for Earth Data Processing....Pages 37-118
Attractors for Lattice Dynamical Systems....Pages 119-160
Front Matter....Pages 161-161
On Global Attractors of Multivalued Semiprocesses and Nonautonomous Evolution Inclusions....Pages 163-198
On the Kneser’s Property for the Complex Ginzburg–Landau Equation and the Lotka–Volterra System with Diffusion....Pages 199-230
Pullback Attractors for a Class of Extremal Solutions of the 3D Navier–Stokes System....Pages 231-257
Properties of Resolving Operator for Nonautonomous Evolution Inclusions: Pullback Attractors....Pages 259-319
Back Matter....Pages 323-330

✦ Subjects

Applications of Mathematics;Geophysics and Environmental Physics;Geophysics/Geodesy;Engineering Fluid Dynamics;Physical Chemistry;Complexity