Multiple scales and singular limits for compressible rotating fluids with general initial data

0428355 - MÚ 2015 US eng J - Journal Article
Feireisl, Eduard - Novotný, A.
Multiple scales and singular limits for compressible rotating fluids with general initial data.
Communications in Partial Differential Equations. Roč. 39, č. 6 (2014), s. 1104-1127. ISSN 0360-5302. E-ISSN 1532-4133
Keywords : compressible Navier-Stokes equations * multiple scales * oscillatory integrals
Subject RIV: BA - General Mathematics
Impact factor: 1.013, year: 2014
http://www.tandfonline.com/doi/full/10.1080/03605302.2013.856917

We study the singular limit of a rotating compressible fluid described by a scaled barotropic Navier-Stokes system, where the Rossby number, the Mach number , the Reynolds number , and the Froude number are proportional to certain powers of a small parameter. The inviscid planar Euler system is identified as the limit problem. The proof is based on the application of the method of relative entropies and careful analysis of oscillatory integrals describing the propagation of Rossby-acoustic waves.
Permanent Link: http://hdl.handle.net/11104/0233706