41 citations · 71 across the 10 of their papers we have counts for
6 papers · 1 filter
Exponential ergodicity of Stochastic Evolution Equations with reflection
Zdzislaw Brzezniak, Qi Li, Tusheng Zhang
In this paper, we establish an exponential ergodicity for stochastic evolution equations with reflection in an infinite dimensional ball. As an application, we obtain the exponenti…
Quasipotential and exit time for 2D Stochastic Navier-Stokes equations driven by space time white noise
Zdzislaw Brzezniak, Sandra Cerrai, Mark Freidlin
We are dealing with the Navier-Stokes equation in a bounded regular domain of , perturbed by an additive Gaussian noise , which is wh…
Splitting up method for the 2D stochastic Navier-Stokes equations
Hakima Bessaih, Zdzislaw Brzezniak, Annie Millet
In this paper, we deal with the convergence of an iterative scheme for the 2-D stochastic Navier-Stokes Equations on the torus suggested by the Lie-Trotter product formulas for sto…
Random attractors for stochastic 2D-Navier-Stokes equations in some unbounded domains
Z. Brzeźniak, T. Caraballo, J. A. Langa +3
We show that the stochastic flow generated by the Stochastic Navier-Stokes equations in a 2-dimensional Poincaré domain has a unique random attractor. This result complements a rec…
Weak Solutions of the Stochastic Landau-Lifshitz-Gilbert Equation
Z. Brzezniak, B. Goldys
The Landau-Lifshitz-Gilbert equation perturbed by a multiplicative space-dependent noise is considered for a ferromagnet filling a bounded three-dimensional domain. We show the exi…
Ito's formula in UMD Banach spaces and regularity of solutions of the Zakai equation
Z. Brzezniak, J. M. A. M. van Neerven, M. C. Veraar +1
Using the theory of stochastic integration for processes with values in a UMD Banach space developed recently by the authors, an Ito formula is proved which is applied to prove the…