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Boundary layers of the incompressible fluids for a permeable wall
Author(s) -
Xie X.,
Li C.
Publication year - 2011
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200900247
Subject(s) - compressibility , mathematics , boundary (topology) , asymptotic expansion , norm (philosophy) , mathematical analysis , geometry , mechanics , physics , political science , law
Abstract In this article, the aim is to study the incompressible Navier‐Stokes equations with a permeable wall and derive the complete asymptotic expansion with respect to the kinematic viscosity ν. More precisely, we derive the physically uniform (in time and space) estimates of the boundary layers and prove that the asymptotic expansion is reasonable in uniform norm. This improves the results already obtained by R. Temam and X. Wang (2000, ZAMM, Volume 80 Issue 11–12, Pages 835–843).