Zobrazeno 1 - 10
of 171
pro vyhledávání: '"Bessaih, Hakima"'
Autor:
Bessaih, Hakima, Millet, Annie
We prove that a semi-implicit time Euler scheme for the two-dimensional B\'enard-Boussinesq model on the torus D converges. The rate of convergence in probability is almost 1/2 for a multiplicative noise; this relies on moment estimates in various no
Externí odkaz:
http://arxiv.org/abs/2411.02590
Autor:
Bessaih, Hakima, Millet, Annie
Publikováno v:
Mathematics 2022, 10(22) 4246
We prove that an implicit time Euler scheme for the 2D-Boussinesq model on the torus $D$ converges. Various moment of the $W^{1,2}$-norms of the velocity and temperature, as well as their discretizations, are computed. We obtain the optimal speed of
Externí odkaz:
http://arxiv.org/abs/2210.04299
In this paper we propose the use of a continuous data assimilation algorithm for miscible flow models in a porous medium. In the absence of initial conditions for the model, observed sparse measurements are used to generate an approximation to the tr
Externí odkaz:
http://arxiv.org/abs/2206.10762
Autor:
Bessaih, Hakima, Millet, Annie
Publikováno v:
Stochastoc Partial Differential Equations, Analysis and Computations, 2022
We prove that some time Euler schemes for the 3D Navier-Stokes equations modified by adding a Brinkman-Forchheimer term and a random perturbation converge in $L^2(\Omega)$. This extends previous results concerning the strong rate of convergence of so
Externí odkaz:
http://arxiv.org/abs/2111.09341
Autor:
Bessaih, Hakima, Millet, Annie
Publikováno v:
Stochastics and Dynamics, 2022
We consider the strong solution of the 2D Navier-Stokes equations in a torus subject to an additive noise. We implement a fully implicit time numerical scheme and a finite element method in space. We prove that the rate of convergence of the schemes
Externí odkaz:
http://arxiv.org/abs/2102.01162
Autor:
Bessaih, Hakima, Millet, Annie
We prove that the implicit time Euler scheme coupled with finite elements space discretization for the 2D Navier-Stokes equations on the torus subject to a random perturbation converges in $L^2(\Omega)$, and describe the rate of convergence for an $H
Externí odkaz:
http://arxiv.org/abs/2004.06932
Autor:
Bessaih, Hakima, Maris, Razvan Florian
We consider a multicontinuum model in porous media applications, which is described as a system of coupled flow equations. The coupling between different continua depends on many factors and its modeling is important for porous media applications. Th
Externí odkaz:
http://arxiv.org/abs/2001.09002
Autor:
Bessaih, Hakima, Ferrario, Benedetta
We study the two-dimensional Euler equations, damped by a linear term and driven by an additive noise. The existence of weak solutions has already been studied; pathwise uniqueness is known for solutions that have vorticity in $L^\infty$. In this pap
Externí odkaz:
http://arxiv.org/abs/1909.00424
This paper investigates the longtime behavior of delayed 3D Navier-Stokes equations in terms of attractors. The study will strongly rely on the investigation of the linearized Navier-Stokes system, and the relationship between the discrete dynamical
Externí odkaz:
http://arxiv.org/abs/1906.06108
In this paper, we study stochastic homogenization of a coupled diffusion-reaction system. The diffusion-reaction system is coupled to stochastic differential equations, which govern the changes in the media properties. Though homogenization with chan
Externí odkaz:
http://arxiv.org/abs/1810.07534