Abstract
Simplified asymptotic equations for the interaction of high-frequency, small-amplitude waves in a chemically reacting gas are developed and analyzed. The equations for nonlinear acoustic simple waves in a reacting mixture are solved explicitly. The asymptotic equations for the resonant interaction of almost periodic wave trains in a reacting gas are also developed. The asymptotic regime discussed here, involving a balance of small amplitudes and small wavelengths for fixed activation energy, illustrates in a simplified context some of the main new phenomena being analyzed in the current theoretical combustion literature in more complex situations.
Original language | English (US) |
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Pages (from-to) | 401-427 |
Number of pages | 27 |
Journal | SIAM Review |
Volume | 31 |
Issue number | 3 |
DOIs | |
State | Published - 1989 |
ASJC Scopus subject areas
- Theoretical Computer Science
- Computational Mathematics
- Applied Mathematics