Controller and asymptotic autonomy of random attractors for stochastic p-Laplace lattice equations

Random Attractors for Stochastic Retarded Lattice Dynamical Systems

and Applied Analysis 3 It is worth mentioning that in the absence of the white noise, the existence of a global attractor for 1.3 1.4 was established in 40 . The main contribution of this paper is to extend the method of tail estimates to stochastic retarded LDSs and prove the existence of a random attractor for the infinite dimensional random dynamical system generated by stochastic retarded L...

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 ...

Asymptotic Laplace Transforms and Evolution Equations

Attractors for Stochastic Sine Gordon Equations via Transformation into Random Equations

We prove the existence of random attractors for nonlinear sto-chastic hyperbolic diierential equations. The nonlinearity of this equation has similar properties as the nonlinearity of the Sine Gordon equation. We consider a diiusion term depending on the state variable. To prove the existence of a random attractor we transform the stochastic hyperbolic equation into a random hyperbolic equation...

Measure Attractors for Stochastic Navier–stokes Equations

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