Evolution Inclusions and Variation Inequalities for Earth Data Processing III [electronic resource] : Long-Time Behavior of Evolution Inclusions Solutions in Earth Data Analysis /
Zgurovsky, Mikhail Z.author.
Kasyanov, Pavlo O.author.
Kapustyan, Oleksiy V.author.
Valero, José.author.
Zadoianchuk, Nina V.author.
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.
Description based upon print version of record.
Includes bibliographical references and index.
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.
Applied mathematics.
Engineering mathematics.
Geophysics.
Fluid mechanics.
Physical chemistry.
Computational complexity.
Applications of Mathematics.
Geophysics and Environmental Physics.
Geophysics/Geodesy.
Engineering Fluid Dynamics.
Physical Chemistry.
Complexity.