Pullback attractors of 2D Navier-Stokes equations with weak damping and continuous delay

Pullback Attractors for Nonautonomous 2D-Navier-Stokes Models with Variable Delays

and Applied Analysis 3 Theorem 4 (see [21, 22]). Let X,Y be two Banach spaces satisfy the previous assumptions, and let {U(t, τ)} be amultivalued process onX andY, respectively. Assume that {U(t, τ)} is upper semicontinuous or weak upper semicontinuous on Y. If for fixed t ⩾ τ, τ ∈ R, U(t, τ) maps compact subsets of X into bounded subsets ofP(X), then U(t, τ) is norm-to-weak upper semicontinuou...

Pullback attractors for three-dimensional Navier-Stokes-Voigt equations with delays

*Correspondence: [email protected] 2Department of Applied Mathematics, Donghua University, Shanghai, 201620, P.R. China Full list of author information is available at the end of the article Abstract Our aim in this paper is to study the existence of pullback attractors for the 3D Navier-Stokes-Voigt equations with delays. The forcing term g(t,u(t – ρ(t))) containing the delay is sub-linea...

On the Dimension of the Pullback Attractors for g-Navier-Stokes Equations

A Remark on Uniform Attractors for the 2D Non-autonomous Navier-Stokes Equation with Damping

distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract We shall show the existence of uniform attractors for the 2D non-autonomous Navier-Stokes equations with damping by contractive functions method which is more simple than the weak continuous method to est...

Attractors and neo-attractors for 3D stochastic Navier-Stokes equations

In [14] nonstandard analysis was used to construct a (standard) global attractor for the 3D stochastic Navier–Stokes equations with general multiplicative noise, living on a Loeb space, using Sell’s approach [26]. The attractor had somewhat ad hoc attracting and compactness properties. We strengthen this result by showing that the attractor has stronger properties making it a neo-attractor – a ...