29 citations · 117 across the 20 of their papers we have counts for
19 papers · 1 filter
Global Existence and Stability of 3D Stochastic NSEs in Bounded and Unbounded Domains Driven by a Special Multiplicative Wiener Process
Zdzisław Brzeźniak, Shijia Zhang, Guoli Zhou
The aim of this work is to extend the results from a recent paper by Hong, Li and Liu, from bounded domains to both bounded and unbounded domains. We show the global existence and…
Invariant measures for a stochastic nonlinear and damped 2D Schrödinger equation
Zdzisław Brzeźniak, Benedetta Ferrario, Margherita Zanella
We consider a stochastic nonlinear defocusing Schrödinger equation with zero-order linear damping, where the stochastic forcing term is given by a combination of a linear multiplic…
Stochastic Navier--Stokes equations on a 3D thin domain
Zdzisław Brzeźniak, Gaurav Dhariwal, Quoc Thong Le Gia
Stochastic Navier--Stokes equations in a thin three-dimensional domain are considered, driven by additive noise. The convergence of martingale solution of the stochastic Navier--St…
The Stochastic Strichartz estimates and stochastic nonlinear Schrödinger equations driven by Lévy noise
Zdzisław Brzeźniak, Wei Liu, Jiahui Zhu
We establish a new version of the stochastic Strichartz estimate for the stochastic convolution driven by jump noise which we apply to the stochastic nonlinear Schrödinger equation…
-solutions for stochastic Navier-Stokes equations with jump noise
Jiahui Zhu, Zdzisław Brzeźniak, Wei Liu
We study the existence and uniqueness of solutions of 2D Stochastic Navier-Stokes equation with space irregular jump noise for initial data in certain Sobolev spaces of negative or…
Existence for stochastic 2D Euler equations with positive vorticity
Zdzisław Brzeźniak, Mario Maurelli
We prove the existence of non-negative measure- and -valued vorticity solutions to the stochastic 2D Euler equations with transport vorticity noise, starting from any non-n…