29 citations · 117 across the 20 of their papers we have counts for
27 papers
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…
Well-Posedness of the 3D Stochastic Primitive Equations with Transport Noise
Zdzisław Brzeźniak, Jakub Slavík
We show that that the stochastic 3D primitive equations with either the physical boundary conditions or Neumann boundary conditions on the top and bottom and Dirichlet boundary con…
Low regularity solutions to the stochastic geometric wave equation driven by a fractional Brownian sheet
Zdzisław Brzeźniak, Nimit Rana
We announce a result on the existence of a unique local solution to a stochastic geometric wave equation on the one dimensional Minkowski space with values in an…
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…