The effective boundary conditions for vector fields on domains with rough boundaries: applications to fluid mechanics

0359870 - MÚ 2012 RIV CZ eng J - Journal Article
Feireisl, Eduard - Nečasová, Šárka
The effective boundary conditions for vector fields on domains with rough boundaries: applications to fluid mechanics.
Applications of Mathematics. Roč. 56, č. 1 (2011), s. 39-49. ISSN 0862-7940. E-ISSN 1572-9109
R&D Projects: GA ČR GA201/05/0164; GA AV ČR IAA100190505; GA AV ČR IAA100190804
Institutional research plan: CEZ:AV0Z10190503
Keywords : Navier-Stokes system * rough boundary * slip boundary condition
Subject RIV: BA - General Mathematics
Impact factor: 0.480, year: 2011
http://www.springerlink.com/content/wv636n2k0073v55n/

The Navier-Stokes system is studied on a family of domains with rough boundaries formed by oscillationg riblets. Assuming the complete slip boundary conditions we identify the limit system, in particular, we show that the limit velocity field satisfies boundary conditions of a mixed type depending on the characteristic direction of the riblets.
Permanent Link: http://hdl.handle.net/11104/0197567