7 papers · 1 filter
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…
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…
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…
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…
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…
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…
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…