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Pullback dynamics of some nonlinear evolutionary equations with respect to some non-autonomous non-compact external forces

Abstract

This talk concerns some new development of dynamics theory for non-autonomous nonlinear evolutionary equations with non-compact external forces. Under the new definition for some time-dependent external forces, we present the classification of weak and strong pullback attractors for some non-autonomous dynamical system and application on a 2D fluid flow model, which is also true for forward case for instance the application on Beam equation with p-Laplacian.