Solutions fortes et comportement asymptotique pour un modèle de convection naturelle en milieu poreux. (Strong solutions and asymptotic behaviour for a natural convection problem in porous media)

DOI10.1007/BF00046977zbMath0609.76091OpenAlexW331814396MaRDI QIDQ1087092

Pierre Fabrie

Publication date: 1986

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00046977

zbMATH Keywords

existenceNavier-Stokes equationsporous mediumuniquenessstrong solutionsnatural convectionfixed point methodDarcy-Boussinesq equationsadiabatic lateral facesimpermeable parallelepipedoninstationary convectionisothermal horizontal facesnodal values

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Free convection (76R10) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items

Structure and mechanism of oscillatory convection in a cube of fluid-saturated porous material heated from below, Rigorous derivation of the effective model describing a non-isothermal fluid flow in a vertical pipe filled with porous medium, Boundary layer associated with the Darcy-Brinkman-Boussinesq model for convection in porous media, The Mathematical Theories of Diffusion: Nonlinear and Fractional Diffusion, Solutions fortes et majorations asymptotiques pour le modèle de Darcy Forchheimer en convection naturelle, Data assimilation algorithm for 3D Bénard convection in porous media employing only temperature measurements, Global weak solutions to the Navier-Stokes-Darcy-Boussinesq system for thermal convection in coupled free and porous media flows, Thermohaline circulation and geostrophic planetary equation: physical, numerical and mathematical properties, Gevrey regularity for the attractor of a partially dissipative model of Bénard convection in a porous medium, Intertial sets for a model of convection in a porous medium and for its time discretization, Existence of weak solutions for a model of three-phase flow in porous media, Computational efficiency and approximate inertial manifolds for a Bénard convection system

Cites Work

• Three-dimensional natural convection in a confined porous medium heated from below
• Thermoconvective instabilities in a horizontal porous layer
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item