Decay estimates for the Brinkman-Forchheimer equations in a semi-infinite pipe

DOI10.1002/zamm.201000202zbMath1232.35130OpenAlexW2016347770MaRDI QIDQ3114623

Shiguang Luo, Yuanfei Li, Yan Liu, Changhao Lin

Publication date: 19 February 2012

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.201000202

zbMATH Keywords

decay estimatesBrinkman-Forchheimer equationsSaint-Venant principle

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76Sxx)

Related Items (5)

Continuous dependence for the nonhomogeneous Brinkman-Forchheimer equations in a semi-infinite pipe ⋮ Phragmén–Lindelöf alternative results in time‐dependent double‐diffusive Darcy plane flow ⋮ Structural stability for a thermal convection model with temperature-dependent solubility ⋮ Nonlinear stability in microfluidic porous convection problems ⋮ Phragmén-Lindelöf alternative results and structural stability for Brinkman fluid in porous media in a semi-infinite cylinder

Cites Work

• On inequalities of Korn, Friedrichs and Babuska-Aziz
• An estimate for the best constant in a Sobolev inequality involving three integral norms
• Best constant in Sobolev inequality
• 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
• Convergence and continuous dependence for the Brinkman-Forchheimer equations
• Effect of anisotropic permeability on Darcy's law
• Spatial Decay Estimates for the Navier–Stokes Equations with Application to the Problem of Entry Flow
• Continuous dependence and convergence results for Brinkman and Forchheimer models with variable viscosity
• Spatial Decay Estimates in Time-Dependent Stokes Flow
• Spatial Decay Estimates for Flow in a Porous Medium
• Spatial decay estimates for plane flow in Brinkman-Forchheimer model
• Convergence and Continuous Dependence for the Brinkman–Forchheimer Equations
• Isoperimetric Inequalities and Their Applications

This page was built for publication: Decay estimates for the Brinkman-Forchheimer equations in a semi-infinite pipe