3 citations · 3 across the 10 of their papers we have counts for
11 papers
Weak solutions to the 2D or 3D stochastic NSCHEs
Z. Brzeźniak, A. Ndongmo Ngana
We consider a diffuse interface model for the mixture of two incompressible fluids driven by transport noise. Under suitable abstract assumptions, we prove the existence of a globa…
Existence and uniqueness results of a stochastic nonlinear heat equation with a constraint of codimension one
Ashish Bawalia, Zdzisław Brzeźniak, Manil T. Mohan
In this work, we investigate the well-posedness of a stochastic heat equation with an arbitrary (but polynomial) nonlinearity in any dimension perturbed by a multiplicati…
Non-uniqueness for the stochastic incompressible Euler equations with a passive tracer
Ashish Bawalia, Zdzisław Brzeźniak, Manil T. Mohan
In this work we investigate the phenomenon of pathwise non-uniqueness for the stochastic incompressible Euler equations with a passive tracer on the whole Euclidean space. The stoc…
On a stochastic Cahn-Hilliard-Brinkman model
Z. Brzeźniak, A. Ndongmo Ngana, T. Tachim Medjo
In this paper, we consider a stochastic version of the Cahn-Hilliard-Brinkman model in a smooth two- or three-dimensional domain with dynamical boundary conditions. The system desc…
Well-posedness and the Łojasiewicz-Simon inequality in the asymptotic analysis of a nonlinear heat equation with constraints of finite codimension
Ashish Bawalia, Zdzisław Brzeźniak, Manil T. Mohan +1
We establish the global well-posedness of the valued strong solution to a nonlinear heat equation with constraints on a \textit{Poincaré domain} $\bO\subset \R^d$ whose boun…
Stochastic transport equation with Lévy noise
Zdzisław Brzeźniak, Enrico Priola, Jianliang Zhai +1
We study the stochastic transport equation with globally -Hölder continuous and bounded vector field driven by a non-degenerate pure-jump Lévy noise of -stable type. Whereas…
Singular SPDEs with the Cauchy-Riemann operator on a torus
Zdzisław Brzeźniak, Mikhail Neklyudov, Evelina Shamarova
We prove the existence of solution to the following -valued singular SPDE on the 2D torus : \begin{align} \label{CR} \partial_{\bar z} r = r \times \ove…
Ergodicity for a stochastic geodesic equation in the tangent bundle of the 2D sphere
L'ubomír Banas, Zdzisław Brzeźniak, Misha Neklyudov +2
We study ergodic properties of stochastic geometric wave equations on a particular model with the target being the 2D sphere while considering the space variable-independent soluti…
Random attractors for the stochastic Navier--Stokes equations on the 2D unit sphere
Zdzislaw Brzeźniak, Beniamin Goldys, Quoc Thong Le Gia
In this paper we prove the existence of random attractors for the Navier--Stokes equations on 2 dimensional sphere under random forcing irregular in space and time. We also deduce…
Attractivity, invariance and ergodicity for SDEs on Riemannian manifolds
Lubomir Banas, Zdzislaw Brzezniak, Martin Ondrejat +1
We give a sufficient condition on nonlinearities of an SDE on a compact connected Riemannian manifold which implies that laws of all solutions converge weakly to the normalized…
Global evolution of random vortex filament equation
Z. Brzeźniak, M. Gubinelli, M. Neklyudov
We prove the existence of a global solution for the filament equation with inital condition given by a geometric rough path in the sense of Lyons (1998).Our work gives a positive a…