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Pullback attractors for strong solutions of 2D non-autonomous g-Navier-Stokes equations
Dao Trong Quyet

 

Abstract

Considered here is the first initial boundary value problem for the 2D non-autonomous g-Navier-Stokes equations in bounded domains. We prove the existence of a pullback attractor in V g for the continuous process generated by strong solutions to the problem. We also prove the exponential growth in V g and in H 2(Ω, g) for the pullback attractor, when time goes to −.