A Theory for Spontaneous Mach-Stem Formation in Reacting Shock Fronts. II. Steady-Wave Bifurcations and the Evidence for Breakdown

Andrew Majda, Rodolfo Rosales

Research output: Contribution to journalArticlepeer-review

Abstract

This paper continues earlier work of the authors on a theory for spontaneous Mach-stem formation. Shock formation in smooth solutions of the scalar integrodifferential conservation law from paper I is demonstrated through detailed numerical experiments-this completes the basic argument from paper I. The steady-state bifurcation of planar detonation waves into "shallow-angle" reactive Mach stem structures is analyzed. The conclusions of this analysis agree with those predicted through the time-dependent asymptotics in paper I and provide a completely independent confirmation of that theory.

Original languageEnglish (US)
Pages (from-to)117-148
Number of pages32
JournalStudies in Applied Mathematics
Volume71
Issue number2
DOIs
StatePublished - Oct 1 1984

ASJC Scopus subject areas

  • Applied Mathematics

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