7 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…