Amplification of small-amplitude high-frequency waves in a reactive mixture

Y. S. Choi, Andrew Majda

Research output: Contribution to journalArticlepeer-review


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 languageEnglish (US)
Pages (from-to)401-427
Number of pages27
JournalSIAM Review
Issue number3
StatePublished - 1989

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computational Mathematics
  • Applied Mathematics


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