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20102026
most citedStochastic Reaction-diffusion Equations Driven by Jump Processes

70 citations · 149 across the 19 of their papers we have counts for

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9 papers · 1 filter

math.AP2026

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…

math.AP2020

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…

math.AP2020

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…

math.AP2019★ 7 cited

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…

math.AP2012

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…

math.AP2012★ 18 cited

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…

math.AP2011★ 13 cited

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…

math.AP2011★ 1 cited

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…

math.AP2011★ 4 cited

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…