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 language | English (US) |
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Pages (from-to) | 1310-1334 |
Number of pages | 25 |
Journal | SIAM Journal on Applied Mathematics |
Volume | 43 |
Issue number | 6 |
DOIs | |
State | Published - 1983 |
ASJC Scopus subject areas
- Applied Mathematics