0384978 - MÚ 2013 RIV CH eng J - Journal Article
Feireisl, Eduard - Friedmann, E.
Continuity of drag and domain stability in the low Mach number limits.
Journal of Mathematical Fluid Mechanics. Roč. 14, č. 4 (2012), s. 731-750. ISSN 1422-6928. E-ISSN 1422-6952
R&D Projects: GA ČR GA201/09/0917
Institutional research plan: CEZ:AV0Z10190503
Keywords : Navier-Stokes * low Mach limit * drag
Subject RIV: BA - General Mathematics
Impact factor: 1.415, year: 2012 ; AIS: 1.046, rok: 2012
Result website:
http://link.springer.com/article/10.1007%2Fs00021-012-0106-1DOI: https://doi.org/10.1007/s00021-012-0106-1

We consider a mathematical model of a rigid body immersed in a viscous, compressible fluid moving with a velocity prescribed on the boundary of a large channel containing the body. We assume that the Mach number is proportional to a small parameter ε and that the general boundary of the body contains small asperities of amplitude proportional to εα for a certain α > 0 and suppose the Navier’s slip condition on this rough boundary. We show that time averages of the drag functional converge, as ε → 0, to the corresponding time averages of the drag for the limit system, whereas the limit system is turning out to be the incompressible Navier–Stokes system with no-slip condition on the smooth limit body.
Permanent Link: http://hdl.handle.net/11104/0214408