Anisotropic problem of Darcy convection: family of steady flows and its disintegration during the destruction of cosymmetry

DOI10.1134/S0015462818060125zbMath1414.76049MaRDI QIDQ2418483

M. A. Abdelhafez, Vyacheslav G. Tsybulin

Publication date: 3 June 2019

Published in: Fluid Dynamics (Search for Journal in Brave)

zbMATH Keywords

stabilityporous mediumconvectionanisotropycosymmetryfamilies of steady regimes

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite difference methods applied to problems in fluid mechanics (76M20) Free convection (76R10) Convection in hydrodynamic stability (76E06)

Cites Work

• Filtration convection in an annular domain and branching of a family of steady-state regimes
• Destruction of the family of steady states in the planar problem of Darcy convection
• Cosymmetry, degeneration of solutions of operator equations, and origin of a filtration convection
• Co-symmetry breakdown in problems of thermal convection in porous medium
• Finite difference approximations and cosymmetry conservation in filtration-convection problem
• Anisotropy effect on the convection of a heat-conducting fluid in a porous medium and cosymmetry of the Darcy problem
• On oscillatory instability of plane-parallel convective motion in a vertical channel
• Convection in Porous Media
• Matrix Analysis
• Secondary cycle of equilibria in a system with cosymmetry, its creation by bifurcation and impossibility of symmetric treatment of it

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