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of 116
pro vyhledávání: '"Razafimandimby, Paul"'
In this article, we study a mathematical system which models the dynamic of the collective behaviour of oxygen-driven swimming bacteria in an aquatic fluid flowing in a two dimensional bounded domain under stochastic perturbation. This model can be s
Externí odkaz:
http://arxiv.org/abs/2301.00654
Publikováno v:
In Stochastic Processes and their Applications April 2024 170
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 system of SPDEs is also known as the stochastic Ericksen-Leslie equatio
Externí odkaz:
http://arxiv.org/abs/2011.00100
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 energy of applied external control such as magnetic or electric field
Externí odkaz:
http://arxiv.org/abs/2005.07659
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 multiplicative Gaussian noise. In the 2D case, we show that this solution is global
Externí odkaz:
http://arxiv.org/abs/2004.00590
Publikováno v:
Discrete & Continuous Dynamical Systems - B, 2019, 24 (11) : 5785-5802
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 crystals under stochastic perturbations.
Externí odkaz:
http://arxiv.org/abs/1902.09245
Autor:
Hausenblas, E., Razafimandimby, Paul
In this article we are interested in the regularity properties of the probability measure induced by the solution process of the L\'evy noise or a fractional Brownian motion driven Navier Stokes Equation on the two dimensional torus $\mathbb{T}$. We
Externí odkaz:
http://arxiv.org/abs/1704.01026
Publikováno v:
Journal of Computational and Applied Mathematics, vol. 343, pp. 250-274, 2018
The present paper is devoted to the numerical approximation of an abstract stochastic nonlinear evolution equation in a separable Hilbert space {$\mathrm{H}$}. Examples of equations which fall into our framework include the GOY and Sabra shell models
Externí odkaz:
http://arxiv.org/abs/1610.04384
In the present paper we study a stochastic evolution equation for shell (SABRA \& GOY) models with pure jump \levy noise $L=\sum_{k=1}^\infty l_k(t)e_k$ on a Hilbert space $\h$. Here $\{l_k, k\in \mathbb{N}\}$ is a family of independent and identical
Externí odkaz:
http://arxiv.org/abs/1601.03242
Autor:
Razafimandimby, Paul Andre
In the present work we initiate the investigation of a stochastic system of evolution partial differential equations modelling the turbulent flows of a bidimensional second grade fluid. Global existence and uniqueness of strong probabilistic solution
Externí odkaz:
http://hdl.handle.net/2263/25715
http://upetd.up.ac.za/thesis/available/etd-06212011-120758/
http://upetd.up.ac.za/thesis/available/etd-06212011-120758/