Evolution Inclusions and Variation Inequalities for Earth Data Processing III : Long-Time Behavior of Evolution Inclusions Solutions in Earth Data Analysis / by Mikhail Z. Zgurovsky, Pavlo O. Kasyanov, Oleksiy V. Kapustyan, José Valero, Nina V. Zadoianchuk.

Springer eBooks

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.

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.

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