Structural stability for the resonant porous penetrative convection

DOI10.1017/S0956792512000253zbMath1254.76133MaRDI QIDQ4902557

Yan Liu

Publication date: 16 January 2013

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

structural stabilityDarcy equationsForchheimer equationsthe Forchheimer coefficient

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Free convection (76R10)

Related Items (4)

Continuous dependence for the nonhomogeneous Brinkman-Forchheimer equations in a semi-infinite pipe ⋮ Structural stability for a thermal convection model with temperature-dependent solubility ⋮ Nonlinear stability in microfluidic porous convection problems ⋮ Structural stability for a Brinkman-Forchheimer type model with temperature-dependent solubility

Cites Work

• Convergence results for Forchheimer's equations for fluid flow in porous media
• Spatial decay bounds for the Forchheimer equations
• Structural stability for the Brinkman equations of flow in double diffusive convection
• Spatial decay in a double diffusive convection problem in Darcy flow
• Steady nonlinear double-diffusive convection in a porous medium based upon the Brinkman-Forchheimer model
• Spatial decay estimates for the Brinkman and Darcy flows in a semi-infinite cylinder
• On continuous dependence on coefficients of the Brinkman-Forchheimer equations
• Continuous dependence on the Soret coefficient for double diffusive convection in Darcy flow
• Effect of anisotropic permeability on Darcy's law
• Continuous Dependence on the Heat Source in Resonant Porous Penetrative Convection
• Continuous dependence and decay for the Forchheimer equations
• Structural stability for the Darcy equations of flow in porous media
• Continuous dependence and convergence results for Brinkman and Forchheimer models with variable viscosity
• Spatial decay estimates for plane flow in Brinkman-Forchheimer model
• Convergence and Continuous Dependence for the Brinkman–Forchheimer Equations
• Structural stability for a Brinkman fluid
• Stability and Wave Motion in Porous Media
• Continuous dependence for the convective Brinkman–Forchheimer equations
• Spatial decay for a model of double diffusive convection in Darcy and Brinkman flows

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