Low Mach number flows and combustion. (English) Zbl 1121.35092
The author considers the Cauchy problem for full Navier-Stokes equations with general equation of state. The paper is devoted to the asymptotic limit where the Mach number tends to zero. The main result is that the classical solutions exist and are uniformly bounded independently of the Mach, Reynolds, and Peclet numbers. The application for the low Mach number limit combustion problem is given.
Reviewer: Ilya A. Chernov (Petrozavodsk)
MSC:
| 35Q30 | Navier-Stokes equations |
| 35B25 | Singular perturbations in context of PDEs |
| 35B40 | Asymptotic behavior of solutions to PDEs |
| 35B65 | Smoothness and regularity of solutions to PDEs |
| 35L45 | Initial value problems for first-order hyperbolic systems |
| 80A25 | Combustion |
| 76N10 | Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics |
| 76V05 | Reaction effects in flows |
