Pullback dynamics of 3D Navier–Stokes equations with nonlinear viscosity

Remarks on nontrivial pullback attractors of the 2‐D Navier‐Stokes equations with delays

“…Using the similar technique as in Carvalho et al and Yang et al, we gave some sufficient conditions for the pullback attractors for 2‐D nonautonomous Navier‐Stokes system with delays to become a single trajectory. Our results are extensions to Caraballo and Real, García‐Luengo et al, and Marín‐Rubio and Real .…”

The long-time dynamics of 3D non-autonomous Navier-Stokes equations with variable viscosity

“…and hence t+a t |u n (t + a) − u n (t)| 2 dt c T a 1/2 t+a t u n (t + a) − u n (t) dt. 13Using (11) and (13) we obtain Furthermore, from (11) and 12, we see that {(u n (t), v)} n is equibounded and equicontinuous on [τ, T ] for all T > τ. Hence…”

Dynamics of 2D Incompressible Non-autonomous Navier–Stokes Equations on Lipschitz-like Domains

“…Next, if we can show that the universe D µ is inclusion closed andB 0 ∈ D µ , the family of pullback D µ -attractors is unique by Theorem 2.15. (t) respectively, by the structure of pullback attractor as ω-limit set, using the same technique in [55], then it follows that A H…”