Pullback attractors and statistical solutions for 2-D 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 the Dimension of the Pullback Attractors for g-Navier-Stokes Equations

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 ...

Pullback D-attractors for non-autonomous partly dissipative reaction-diffusion equations in unbounded domains

At present paper, we establish the existence of pullback $mathcal{D}$-attractor for the process associated with non-autonomous partly dissipative reaction-diffusion equation in $L^2(mathbb{R}^n)times L^2(mathbb{R}^n)$. In order to do this, by energy equation method we show that the process, which possesses a pullback $mathcal{D}$-absorbing set, is pullback $widehat{D}_0$-asymptotically compact.