A survey of the compressible Navier-Stokes equations

Authors
Desjardins, B Lin, CK
Citation
B. Desjardins et Ck. Lin, A survey of the compressible Navier-Stokes equations, TAIWAN J M, 3(2), 1999, pp. 123-137
Citations number
46
Categorie Soggetti
Mathematics
Journal title
TAIWANESE JOURNAL OF MATHEMATICS
ISSN journal
10275487 → ACNP
Volume
3
Issue
2
Year of publication
1999
Pages
123 - 137
Database
ISI
SICI code
1027-5487(199906)3:2<123:ASOTCN>2.0.ZU;2-K
Abstract
This paper presents mathematical properties of solutions to the Navier-Stok es equations for compressible fluids. We first review existence results for the Cauchy problem, and describe some regularity properties of solutions i n the presence of possibly vanishing densities. Finally, we address the pro blem of the low Mach number limit leading to incompressible models.