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

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

Measure Attractors for Stochastic Navier–stokes Equations

We show existence of measure attractors for 2-D stochastic Navier-Stokes equations with general multiplicative noise.

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 global attractors of the 3D Navier-Stokes equations

In view of the possibility that the 3D Navier-Stokes equations (NSE) might not always have regular solutions, we introduce an abstract framework for studying the asymptotic behavior of multi-valued dissipative evolutionary systems with respect to two topologies—weak and strong. Each such system possesses a global attractor in the weak topology, but not necessarily in the strong. In case the lat...

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 ...