Upper Semicontinuity of Pullback Attractors for the 3D Nonautonomous Benjamin-Bona-Mahony Equations

Abstract EN

We will study the upper semicontinuity of pullback attractors for the 3D nonautonomouss Benjamin-Bona-Mahony equations with external force perturbation terms.

Under some regular assumptions, we can prove the pullback attractors ? ε ( t ) of equation u t - Δ u t - ν Δ u + ∇ · F → ( u ) = ɛ g ( x , t ) , x ∈ Ω , converge to the global attractor ? of the above-mentioned equation with ε = 0 for any t ∈ ℝ .