[:es]Título: GLOBAL ATTRACTORS THEORY AND ITS APPLICATION TO EVOLUTIONARY SYSTEMS WITHOUT UNIQUENESS AND IMPULSIVE SYSTEMS
Ponente: Alexey Kapustyan (Taras Shevchenko National University of Kyiv, Kyiv, Ukraine)
Organizador: José Valero
Fecha: Lunes 17 de mayo de 2021 a las 12:00 horas.
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Abstract: The report focuses on the study of the qualitative behavior of solutions of evolution equations by the methods of the theory of global attractors. The main emphasis is on the dissipative systems, the initial state of which do not uniquely determine their future behavior. Using well-known infinite-dimensional systems (reaction-diffusion systems, 3D Navier-Stokes systems) we analyze in detail the basic concepts, notions, results, their possible applications and open problems. Also we give an application of global attractors theory to impulsive infinite-dimensional dynamical systems[:]