activity
20102025
collaborators

7 papers

math.PR2025

Weak solutions of Navier-Stokes Equation with purely discontinuous Lévy Noise

Zdzisław Brzeźniak, Tomasz Kosmala, Elżbieta Motyl +1

In this paper we prove the existence of weak martingale solutions to the stochastic Navier-Stokes Equations driven by pure jump Lévy processes. Our proof consists of two parts. In…

math.PR2021

Martingale solutions of the stochastic Hall-magnetohydrodynamics equations on

Elżbieta Motyl

We prove the existence of a global martingale solution of a stochastic Hall-magnetohydrodynamics equations on with multiplicative noise. Using the Fourier analysis w…

math.PR2015

Invariant measure for the stochastic Navier-Stokes equations in unbounded 2D domains

Zdzisław Brzeźniak, Elżbieta Motyl, Martin Ondrejat

Building upon a recent work by two of the authours and J. Seidler on bw-Feller property for stochastic nonlinear beam and wave equations, we prove the existence of an invariant mea…

math.PR2013

Stochastic hydrodynamic-type evolution equations driven by Lévy noise in 3D unbounded domains - abstract framework and applications

Elżbieta Motyl

The existence of martingale solutions of the hydrodynamic-type equations in 3D possibly unbounded domains is proved. The construction of the solution is based on the Faedo-Galerkin…

math.PR2012

Existence of a martingale solution of the stochastic Navier-Stokes equations in unbounded 2D and 3D-domains

Zdzisław Brzeźniak, Elżbieta Motyl

Stochastic Navier-Stokes equations in 2D and 3D possibly unbounded domains driven by a multiplicative Gaussian noise are considered. The noise term depends on the unknown velocity…

math.PR2011

Stochastic Navier-Stokes Equations Driven by Levy noise in unbounded 2D and 3D domains

Elżbieta Motyl

Martingale solutions of stochastic Navier-Stokes equations in 2D and 3D possibly unbounded domains, driven by the Lévy noise consisting of the compensated time homogeneous Poisson…

math.PR2010

Uniqueness in Law of the stochastic convolution process driven by Lévy noise

Zdzisław Brzeźniak, Erika Hausenblas, Elżbieta Motyl

We will give a proof of the following fact. If and , and , and are two examples of filtered probability spaces…