70 citations · 149 across the 19 of their papers we have counts for
21 papers
Well-posedness of 2D stochastic parabolic-parabolic Keller-Segel system with logistic source
Erika Hausenblas, Boris Jidjou Moghomye, Paul Andre Razafimandimby
We consider a stochastic, fully parabolic Keller-Segel system with multiplicative noise in non-divergence form and a logistic source in a two-dimensional bounded domain, subject to…
Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise
Erika Hausenblas, Boris Jidjou Moghomye, Paul Andre Razafimandimby
This work is devoted to the convergence of a time-discrete numerical scheme of a semi-discretization model arising from biology, consisting of a chemotaxis equation coupled with a…
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…
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…
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…
Numerical approximation of stochastic evolution equations: Convergence in scale of Hilbert spaces
Hakima Bessaih, Erika Hausenblas, Tsiry Randrianasolo +1
The present paper is devoted to the numerical approximation of an abstract stochastic nonlinear evolution equation in a separable Hilbert space {}. Examples of equation…
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…
Some qualitative properties of the solutions of the Magnetohydrodynamic equations for nonlinear bipolar fluids
Paul Andre Razafimandimby
In this article we study the long-time behaviour of a system of nonlinear Partial Differential Equations (PDEs) modelling the motion of incompressible, isothermal and conducting mo…
Analysis of the Brinkman-Forchheimer equations with slip boundary conditions
J. K. Djoko, P. A. Razafimandimby
In this work, we study the Brinkman-Forchheimer equations driven under slip boundary conditions of friction type. We prove the existence and uniqueness of weak solutions by means o…
Existence and large time behaviour for a stochastic model of a modified magnetohydrodynamic equations
Paul Andre Razafimandimby, Mamadou Sango
In this paper we initiate the mathematical analysis of a system of nonlinear Stochastic Partial Differential equations describing the motion of turbulent Non-Newtonian media in the…
Trajectory attractor for a non-autonomous Magnetohydrodynamic equations of Non-Newtonian Fluids
Paul Andre Razafimandimby
In this article we initiate the mathematical study of the dynamics of a system of nonlinear Partial Differential Equations modelling the motion of incompressible, isothermal and co…
Convergence of a sequence of solutions of the stochastic two-dimensional equations of second grade fluids
Paul Razafimandimby, Mamadou Sango
We study the limit of the stochastic model for two dimensional second grade fluids subjected to the periodic boundary conditions as the stress modulus tends to zero. We show that u…
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…