SPATIAL DECAY IN THE PIPE FLOW OF A VISCOUS FLUID INTERFACING A POROUS MEDIUM

DOI10.1142/S021820250100146XzbMath1034.35103MaRDI QIDQ4798924

J. C. Song, Lawrence E. Payne, Karen A. Ames

Publication date: 16 March 2003

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

a priori boundsdecay estimatesinterface problemsDarcy and Stokes flow

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Reaction-diffusion equations (35K57) Flows in porous media; filtration; seepage (76S05) Incompressible viscous fluids (76D99)

Related Items (7)

Structural stability for the Forchheimer equations interfacing with a Darcy fluid in a bounded region in \(\mathbb{R}^3 \) ⋮ Spatial decay estimates for the Fochheimer equations interfacing with a Darcy equations ⋮ Structural stability for the Brinkman fluid interfacing with a Darcy fluid in an unbounded domain ⋮ SPATIAL DECAY BOUNDS IN THE CHANNEL FLOW OF AN INCOMPRESSIBLE VISCOUS FLUID ⋮ Improved decay estimates in time-dependent Stokes flow. ⋮ Structural stability of the Boussinesq fluid interfacing with a Darcy fluid in a bounded region in \(R^2\) ⋮ Spatial decay bounds for the Forchheimer equations

Cites Work

• Analysis of the boundary condition at the interface between a viscous fluid and a porous medium and related modelling questions
• On inequalities of Friedrichs and Babuška-Aziz in dimension three
• Spatial decay estimates for the Brinkman and Darcy flows in a semi-infinite cylinder
• Recent Developments Concerning Saint-Venant's Principle
• Creeping Flow Past a Porous Spherical Shell

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