3 citations · 3 across the 10 of their papers we have counts for
9 papers · 1 filter
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…
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…
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…