Long-time behavior of evolution inclusions solutions in earth data analysis
著者
書誌事項
Long-time behavior of evolution inclusions solutions in earth data analysis
（Advances in mechanics and mathematics / edited by David Y. Gao and Ray W. Ogden, v. 27 . Evolution inclusions and variation inequalities for earth data processing ; 3）
Springer, c2012
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注記
Includes bibliographical references and indexes
内容説明・目次
内容説明
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.
目次
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.
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