73 citations · 269 across the 22 of their papers we have counts for
28 papers
Ergodic results for the stochastic nonlinear Schrödinger equation with large damping
Zdzislaw Brzezniak, Benedetta Ferrario, Margherita Zanella
We study the nonlinear Schrödinger equation with linear damping, i.e. a zero order dissipation, and additive noise. Working in with d = 2 or d = 3, we prove the uniqueness of…
On strong solution to the 2D stochastic Ericksen-Leslie system: A Ginzburg-Landau approximation approach
Zdzislaw Brzezniak, Gabriel Deugoue, Paul Andre Razafimandimby
In this manuscript, we consider a highly nonlinear and constrained stochastic PDEs modelling the dynamics of 2-dimensional nematic liquid crystals under random perturbation. This s…
On the 2D Ericksen-Leslie equations with anisotropic energy and external forces
Zdzislaw Brzezniak, Gabriel Deugoue, Paul Andre Razafimandimby
In this paper we consider the 2D Ericksen-Leslie equations which describes the hydrodynamics of nematic Liquid crystal with external body forces and anisotropic energy modeling the…
Strong solution to stochastic penalised nematic liquid crystals model driven by multiplicative Gaussian noise
Zdzislaw Brzezniak, Erika Hausenblas, Paul Razafimandimby
In this paper, we prove the existence of a unique maximal local strong solutions to a stochastic system for both 2D and 3D penalised nematic liquid crystals driven by multiplicativ…
3D Stochastic Landau-Lifshitz-Gilbert Equations coupled with Maxwell's Equations with full energy
Zdzislaw Brzezniak, Ben Goldys, Liang Li
We consider 3D stochastic Landau-Lifshitz-Gilbert equations coupled with the Maxwell equations with the full energy. We have proved the existence and some further regularities of t…
Stochastic Navier-Stokes equations on a thin spherical domain
Zdzisław Brzeźniak, Gaurav Dhariwal, Quoc Thong Le Gia
Incompressible Navier-Stokes equations on a thin spherical domain along with free boundary conditions under a random forcing are considered. The convergence of the…