41 citations · 71 across the 10 of their papers we have counts for
10 papers
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…
Fractional Voigt-regularization of the 3D Navier--Stokes and Euler equations: Global well-posedness and limiting behavior
Zdzislaw Brzeźniak, Adam Larios, Isabel Safarik
The Voigt regularization is a technique used to model turbulent flows, offering advantages such as sharing steady states with the Navier-Stokes equations and requiring no modificat…
Stochastic Evolution Equations in Banach Spaces and Applications to Heath-Jarrow-Morton-Musiela Equation
Zdzislaw Brzezniak, Tayfun Kok
In this paper we study the stochastic evolution equation (1.1) in martingale-type 2 Banach spaces (with the linear part of the drift being only a generator of a C0-semigroup). We p…
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…