73 citations · 269 across the 22 of their papers we have counts for
5 papers · 1 filter
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…
A note on the Stochastic Ericksen-Leslie equations for nematic liquid crystals
Zdzislaw Brzezniak, Erika Hausenblas, Paul Razafimandimby
In this note we prove the existence and uniqueness of local maximal smooth solution of the stochastic simplified Ericksen-Leslie systems modelling the dynamics of nematic liquid cr…
Uniqueness of martingale solutions for the stochastic nonlinear Schrödinger equation on 3d compact manifolds
Zdzislaw Brzezniak, Fabian Hornung, Lutz Weis
We prove pathwise uniqueness for solutions of the nonlinear Schrödinger equation with conservative multiplicative noise on compact 3D manifolds. In particular, we generalize the re…
Random dynamical systems generated by stochastic Navier--Stokes equation on the rotating sphere
Zdzislaw Brzeźniak, Beniamin Goldys, Quoc Thong Le Gia
In this paper we first prove the existence and uniqueness of the solution to the stochastic Navier--Stokes equations on the rotating 2-dimensional sphere. Then we show the existenc…