Pullback attractors for the non-autonomous Benjamin-Bona-Mahony equations in H2

Singular support of the global attractor for a damped BBM equation

“…Thanks to Lemma 2.2, there exists T 1 > 0 so that u(t) H 1 (R) f H s−2 1 for all t ≥ T 1 . This, together with (16), (17) and (20), implies that for…”

“…There are many works denoted to the global attractor theory for damped BBM equations, see e.g. [7,8,6,16,19,20,22,27,28,26,29,30,35,36]. Recall that the global attractor is a compact invariant set, attracting every bounded sets in the phase space.…”