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Global attractors for multivalued semiflows with weak continuity properties. (English) Zbl 1292.76032

Summary: A method is proposed to prove the global attractor existence for multivalued semiflows with weak continuity properties. An application to the reaction-diffusion problems with nonmonotone multivalued semilinear boundary condition and nonmonotone multivalued semilinear source term is presented.

MSC:

76D05 Navier-Stokes equations for incompressible viscous fluids
76F10 Shear flows and turbulence
76F20 Dynamical systems approach to turbulence
47J20 Variational and other types of inequalities involving nonlinear operators (general)
49J40 Variational inequalities
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