70 citations · 149 across the 19 of their papers we have counts for
10 papers · 1 filter
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…
Existence of a density of the 2Dim Stochastic Navier Stokes Equation driven by Levy processes or fractional Brownian motion
E. Hausenblas, Paul Razafimandimby
In this article we are interested in the regularity properties of the probability measure induced by the solution process of the Lévy noise or a fractional Brownian motion driven N…
Ergodicity of stochastic shell models driven by pure jump noise
Hakima Bessaih, Erika Hausenblas, Paul A. Razafimandimby
In the present paper we study a stochastic evolution equation for shell (SABRA \& GOY) models with pure jump \levy noise on a Hilbert space $\h$. He…
Analytic properties of Markov semigroup generated by Stochastic Differential Equations driven by Lévy processes
Pani W. Fernando, Erika Hausenblas, Paul Razafimandimby
We consider the stochastic differential equations of the form \begin{equation*} \begin{cases} dX^ x(t) = σ(X(t-)) dL(t) \\ X^ x(0)=x,\quad x\in\mathbb{R}^ d, \end{cases} \end{equat…
On the rate of convergence of the 2-D stochastic Leray- model to the 2-D stochastic Navier-Stokes equations with multiplicative noise
Hakima Bessaih, Paul Razafimandimby
In the present paper we study the convergence of the solution of the two dimensional (2-D) stochastic Leray- model to the solution of the 2-D stochastic Navier-Stokes equations.…
Strong solutions to stochastic hydrodynamical systems with multiplicative noise of jump type
Hakima Bessaih, Erika Hausenblas, Paul Razafimandimby
In this paper we prove the existence and uniqueness of maximal strong (in PDE sense) solution to several stochastic hydrodynamical systems on unbounded and bounded domains of $\mat…
Some results on the penalised nematic liquid crystals driven by multiplicative noise
Zdzislaw Brzeźniak, Erika Hausenblas, Paul Razafimandimby
In this paper we prove several results related to the existence and uniqueness of solution to coupled highly nonlinear stochastic partial differential equations (PDEs). These equat…
Controllability and Qualitative properties of the solutions to SPDEs driven by boundary Lévy noise
Erika Hausenblas, Paul Andre Razafimandimby
Let be the solution to the following stochastic evolution equation (1) du(t,x)& = &A u(t,x) dt + B σ(u(t,x)) dL(t),\quad t>0; u(0,x) = x taking values in an Hilbert space $\HH$…
On stochastic evolution equations for nonlinear bipolar fluids: well-posedness and some properties of the solution
Erika Hausenblas, Paul Andre Razafimandimby
We investigate the stochastic evolution equations describing the motion of a Non-Newtonian fluids excited by multiplicative noise of Lévy type. By making use of Galerkin approximat…
Stochastic Reaction-diffusion Equations Driven by Jump Processes
Zdzisław Brzeźniak, Erika Hausenblas, Paul Razafimandimby
We establish the existence of weak martingale solutions to a class of second order parabolic stochastic partial differential equations. The equations are driven by multiplicative j…