Mathematical models of incompressible fluids as singular limits of complete fluid systems

0353470 - MÚ 2011 RIV CH eng J - Journal Article
Feireisl, Eduard
Mathematical models of incompressible fluids as singular limits of complete fluid systems.
Milan Journal of Mathematics. Roč. 78, č. 2 (2010), s. 523-560. ISSN 1424-9286. E-ISSN 1424-9294
R&D Projects: GA ČR GA201/08/0315
Institutional research plan: CEZ:AV0Z10190503
Keywords : scale analysis * Navier-Stokes-Fourier system * incompressible limit
Subject RIV: BA - General Mathematics
Impact factor: 0.933, year: 2010
http://link.springer.com/article/10.1007%2Fs00032-010-0128-1

A rigorous justification of several well-know mathematical models of incompressible fluid flows can be given in terms of singular limits of the scaled Navier-Stokes-Fourier system, where some of the characteristic numbers become small or large enough. We discuss the problem in the framework of global-in-time solutions for both the primitive and the target system.
Permanent Link: http://hdl.handle.net/11104/0192715