Rigorous justification of the effective boundary condition on a porous wall via homogenization
DOI10.1007/s00033-021-01571-1zbMath1470.35038OpenAlexW3177466737MaRDI QIDQ2044727
Igor Pažanin, Eduard Marušić-Paloka
Publication date: 10 August 2021
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-021-01571-1
boundary layersviscous fluidperiodic homogenizationporous boundaryBeavers-Joseph lawDarcy-type boundary condition
PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization applied to problems in fluid mechanics (76M50)
Related Items (5)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On asymptotics of solutions and eigenvalues of the boundary value problem with rapidly alternating boundary conditions for the system of elasticity
- On boundary-value problems for the Laplacian in bounded domains with micro inhomogeneous structure of the boundaries
- Étude d'un fluide traversant une paroi perforée. I: Comportement limite près de la paroi. (Study of a fluid crossing a perforated sieve. I: Limit behavior near the sieve)
- Étude d'un fluide traversant une paroi perforée. II: Comportement limite loin de la paroi. (Study of a fluid crossing a perforated sieve. II: Limit behavior far off the sieve)
- Boundary homogenization for elliptic problems
- Averaging operators with boundary conditions of fine-scaled structure
- Effective interface conditions for the forced infiltration of a viscous fluid into a porous medium using homogenization
- A boundary value problem for the~Laplacian with rapidly changing type of~boundary conditions in a~multidimensional domain
- Effective pressure boundary condition for the filtration through porous medium via homogenization
- Effects of boundary roughness and inertia on the fluid flow through a corrugated pipe and the formula for the Darcy-Weisbach friction coefficient
- Mathematical Modelling and Numerical Simulation of a Non-Newtonian Viscous Flow through a Thin Filter
- An Introduction to the Mathematical Theory of the Navier-Stokes Equations
- On the Boundary Condition at the Surface of a Porous Medium
- Asymptotic behaviour of an elastic body with a surface having small stuck regions
- Boundary conditions for stokes flows near a porous membrane
- AVERAGING OF BOUNDARY VALUE PROBLEMS WITH A SINGULAR PERTURBATION OF THE BOUNDARY CONDITIONS
- Effective permeability of the boundary of a domain
- Écoulement non newtonien à travers un filtre mince
- On The Interface Boundary Condition of Beavers, Joseph, and Saffman
- Effective Membrane Permeability: Estimates and Low Concentration Asymptotics
- Asymptotic-numerical derivation of the Robin type coupling conditions for the macroscopic pressure at a reservoir–capillaries interface
- Application of very weak formulation on homogenization of boundary value problems in porous media
- Effective Fluid Behavior in Domain with Rough Boundary and the Darcy--Weisbach Law
- High-order approximations for an incompressible viscous flow on a rough boundary
- On the roughness-induced effective boundary conditions for an incompressible viscous flow
This page was built for publication: Rigorous justification of the effective boundary condition on a porous wall via homogenization
