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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Abstract Theory of Multivalued Semiflowstive systems have been obtained (see, e.g., [7, 38, 54, 75, 78]). For the application of this classical theory to partial and functional differential equations, it was necessary to have global existence and uniqueness of solutions of the Cauchy problem for all initial data of the phase space.

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Pullback Attractors for a Class of Extremal Solutions of the 3D Navier–Stokes Systemch 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 results are proved in [13, 18, 36]. The main difficulty in this problem (but not the only one!) is to prove the asymptotic compactness of solutions (see [2], for a review on these questions).

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1571-8689 supplementary material: 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, aerohydrodyna

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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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