Flows of viscous compressible fluids under strong stratification: incompressible limits for long-range potential forces

0369711 - MÚ 2012 RIV SG eng J - Journal Article
Feireisl, Eduard
Flows of viscous compressible fluids under strong stratification: incompressible limits for long-range potential forces.
Mathematical Models and Methods in Applied Sciences. Roč. 21, č. 1 (2011), s. 7-27. ISSN 0218-2025. E-ISSN 1793-6314
R&D Projects: GA ČR GA201/08/0315
Institutional research plan: CEZ:AV0Z10190503
Keywords : compressible Navier-Stokes system * low Mach number limit * RAGE theorem
Subject RIV: BA - General Mathematics
Impact factor: 1.635, year: 2011
http://www.worldscinet.com/m3as/21/2101/S0218202511004964.html

We study the singular limit of the compressible Navier–Stokes system in the whole space ℝ3, where the Mach number and Froude number are proportional to a small parameter ε → 0. The central issue is the local decay of the acoustic energy proved by means of the RAGE theorem. The result is quite general and the proposed approach can be applied to a large variety of problems that concern propagation of acoustic waves in compressible fluids. In particular, the method can be used for showing stability of various numerical schemes based on the so-called hybrid methods.
Permanent Link: http://hdl.handle.net/11104/0203713