THEORY FOR SPONTANEOUS MACH STEM FORMATION IN REACTING SHOCK FRONTS. PART I: THE BASIC PERTURBATION ANALYSIS.

Andrew Majda, Rodolfo Rosales

Research output: Contribution to journalArticlepeer-review

Abstract

A theory to explain the experimentally observed spontaneous formation of Mach stems in reacting shock fronts is developed. A linearized mechanism of instability through radiating boundary waves is analyzed. Then through weakly nonlinear asymptotics, an integro-differential scalar conservation law is derived. The asymptotic expansion relates the breakdown of solutions for this scalar equation with the spontaneous formation of the complete triple-shock, slip-line Mach stem configuration.

Original languageEnglish (US)
Pages (from-to)1310-1334
Number of pages25
JournalSIAM Journal on Applied Mathematics
Volume43
Issue number6
DOIs
StatePublished - 1983

ASJC Scopus subject areas

  • Applied Mathematics

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