Low Mach Number Limit for the Navier-Stokes System on Unbounded Domains Under Strong Stratification

0340507 - MÚ 2010 RIV US eng J - Journal Article
Feireisl, Eduard - Novotný, A. - Petzeltová, Hana
Low Mach Number Limit for the Navier-Stokes System on Unbounded Domains Under Strong Stratification.
Communications in Partial Differential Equations. Roč. 35, č. 1 (2010), s. 68-88. ISSN 0360-5302. E-ISSN 1532-4133
R&D Projects: GA ČR GA201/08/0315; GA MŠMT LC06052
Institutional research plan: CEZ:AV0Z10190503
Keywords : Navier-Stokes-Fourier system * low Mach number limit * unbounded domain * strong stratification
Subject RIV: BA - General Mathematics
Impact factor: 1.123, year: 2010
http://www.tandfonline.com/doi/abs/10.1080/03605300903279377

We consider the low Mach number singular limit problem for the Navier-Stokes system describing the motion of a compressible fluid under strong stratification in an exterior domain. It is shown that the limit problem is represented by the so-called anelastic approximation. In particular, strong (pointwise) convergence of the acoustic components of the velocity is established by means of an abstract result of Tosio Kato.
Permanent Link: http://hdl.handle.net/11104/0183722