Titlebook: Evolution Inclusions and Variation Inequalities for Earth Data Processing III; Long-Time Behavior o Mikhail Z. Zgurovsky,Pavlo O. Kasyanov,

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Auxiliary Properties of Evolution Inclusions Solutions for Earth Data Processingnlinear mathematical models of evolution processes and fields of different nature, in particular, problems deal with the dynamics of solutions of non-stationary problems. Far from complete list of results concern the given direction is in works [4, 5, 7, 9–17, 19].

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Attractors for Lattice Dynamical Systems. In this chapter, we study the asymptotic behavior of the solutions of a system of infinite ordinary differential equations (a lattice dynamical system) obtained after the spacial discretization of a system of reaction-diffusion equations in an unbounded domain. This kind of dynamical systems is th

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On Global Attractors of Multivalued Semiprocesses and Nonautonomous Evolution Inclusionsis nonautonomous, new and challenging difficulties appear. In this case, if uniqueness of the Cauchy problem holds, then the usual semigroup of operators becomes a two-parameter semigroup or process [38, 39], as we have to take into account the initial and the final time of the solutions.

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Pullback Attractors for a Class of Extremal Solutions of the 3D Navier–Stokes System is still far to be solved in a satisfactory way. In particular, the existence of a global attractor in the strong topology is an open problem for which only some partial or conditional results are given (see [3, 4, 6, 15, 17, 19, 20, 27, 38]). Concerning the existence of trajectory attractors, some

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