The local Cauchy problem for multicomponent reactive flows in full vibrational non-equilibrium
✍ Scribed by Vincent Giovangigli; Marc Massot
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 211 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0170-4214
No coin nor oath required. For personal study only.
✦ Synopsis
Communicated by J. C. Nedelec
We consider reactive mixtures of dilute polyatomic gases in full vibrational non-equilibrium. The governing equations are derived from the kinetic theory and possesses an entropy. We recast this system of conservation laws into a symmetric conservative form by using entropic variables. Following a formalism developed by the authors in a previous paper, the system is then rewritten into a normal form, that is, in the form of a quasilinear symmetric hyperbolic-parabolic system. Using a result of Vol'pert and Hudjaev, we prove local existence and uniqueness of a bounded smooth solution to the Cauchy problem.
1998 B. G.