Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Gabriel Deugoue"'
Autor:
Gabriel Deugoue, Mamadou Sango
Publikováno v:
Boundary Value Problems, Vol 2010 (2010)
We prove the existence and uniqueness of strong solution to the stochastic Leray-α equations under appropriate conditions on the data. This is achieved by means of the Galerkin approximation scheme. We also study the asymptotic behaviour of the stro
Externí odkaz:
https://doaj.org/article/be979a1f49ca48e5a1ab12c4f32852f9
Autor:
Gabriel Deugoue, Mamadou Sango
Publikováno v:
Abstract and Applied Analysis, Vol 2009 (2009)
We investigate the stochastic 3D Navier-Stokes-α model which arises in the modelling of turbulent flows of fluids. Our model contains nonlinear forcing terms which do not satisfy the Lipschitz conditions. The adequate notion of solutions is that of
Externí odkaz:
https://doaj.org/article/2049de29b3c145458c209344635866a6
Publikováno v:
Dynamic Games and Applications. 12:82-109
Publikováno v:
Journal of Evolution Equations. 21:3891-3961
In this paper we consider the 2D Ericksen–Leslie equations which describe 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 fiel
Autor:
T. Tachim Medjo, Gabriel Deugoue
Publikováno v:
Asymptotic Analysis. 123:41-78
In this article, we derive a large deviation principle for a 2D Allen–Cahn–Navier–Stokes model under random influences. The model consists of the Navier–Stokes equations for the velocity, coupled with an Allen–Cahn equation for the order (p
Publikováno v:
Journal of Differential Equations. 275:27-76
A well-known diffuse interface model consists of the Navier-Stokes equations for the average velocity, nonlinearly coupled with a convective Cahn-Hilliard type equation for the order (phase) parameter. This system describes the evolution of an incomp
Publikováno v:
Quaestiones Mathematicae; Vol. 45 No. 4 (2022); 627-653
Existence and uniqueness of strong solutions for the three dimensional system of globally modified magnetohydrodynamics equations with locally Lipschitz delays terms are established in this article. Galerkin's method and Aubin Lions compactness theor
Publikováno v:
Journal of Applied Analysis & Computation. 11:2423-2458
We provide in this article an investigation of the globally modified Navier-Stokes problem coupled with the heat equation. After deriving the variational formulation of this problem, we prove the existence and the uniqueness of the solution using the
Publikováno v:
Differential Equations & Applications. :373-404
Publikováno v:
IMA Journal of Numerical Analysis. 41:3046-3112
In this paper we study the numerical approximation of the stochastic Cahn–Hilliard–Navier–Stokes system on a bounded polygonal domain of $\mathbb{R}^{d}$, $d=2,3$. We propose and analyze an algorithm based on the finite element method and a sem