Abstract
We prove uniform existence results for the full Navier-Stokes equations for time intervals which are independent of the Mach number, the Reynolds number, and the Péclet number. We consider general equations of state and give an application for the low Mach number limit combustion problem introduced by Majda in [Compressible Fluid Flow and Systems of Conservation Laws in Several Space Variables, Springer-Verlag, New York, 1984].
| Original language | English |
|---|---|
| Pages (from-to) | 1186-1213 |
| Number of pages | 28 |
| Journal | SIAM Journal on Mathematical Analysis |
| Volume | 38 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 1 Dec 2006 |
| Externally published | Yes |
Keywords
- Combustion equation
- Low Mach limit
- Uniform stability
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