This paper presents a simple justification of the classical low Mach number limit in critical Besov spaces for compressible Euler equations with prepared initial data. As the first step of this justification, we formulate a continuation principle for general hyperbolic singular limit problems in the
✦ LIBER ✦
Notes on the incompressible Euler and related equations on ℝN
✍ Scribed by Dongho Chae
- Publisher
- Coastal and Estuarine Research Federation
- Year
- 2009
- Tongue
- English
- Weight
- 215 KB
- Volume
- 30
- Category
- Article
- ISSN
- 1860-6261
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
A note on incompressible limit for compr
✍
Jiang Xu; Wen-An Yong
📂
Article
📅
2011
🏛
John Wiley and Sons
🌐
English
⚖ 147 KB
On the deformations of the incompressibl
✍
Dongho Chae
📂
Article
📅
2007
🏛
Springer-Verlag
🌐
French
⚖ 278 KB
On the Euler equations of incompressible
✍
Roger Temam
📂
Article
📅
1975
🏛
Elsevier Science
🌐
English
⚖ 447 KB
On the Free Boundary to the Incompressib
✍
Ye-min Chen
📂
Article
📅
2005
🏛
Institute of Applied Mathematics, Chinese Academy
🌐
English
⚖ 148 KB
On the Lagrangian Dynamics for the 3D In
✍
Dongho Chae
📂
Article
📅
2006
🏛
Springer
🌐
English
⚖ 182 KB
The Incompressible Limit and the Initial
✍
Tatsuo Iguchi
📂
Article
📅
1997
🏛
John Wiley and Sons
🌐
English
⚖ 329 KB
👁 2 views
We consider the incompressible limit of the compressible Euler equation in the half-space 1L > . It is proved that the solutions of the non-dimensionalized compressible Euler equation converge to the solution of the incompressible Euler equation when the Mach number tends to zero. If the initial dat