The Existence of One Dimensional Steady Detonation Waves in a Simple Model Problem

DOI10.1002/SAPM1982662121zbMath0495.76067OpenAlexW163074245MaRDI QIDQ3959651

Philip J. Holmes, D. Scott Stewart

Publication date: 1982

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sapm1982662121

zbMATH Keywords

heteroclinic orbitsdetonation waveexistence of unique solutionfixed point in unburnt state

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Linear ordinary differential equations and systems (34A30) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (1)

Limit Behavior and the Existence of Combustion Shock Layers

Cites Work

• Bifurcations and trajectories joining critical points
• On a first-order boundary value problem form laminar flame theory
• Existence of Detonations for Small Values of the Rate Parameter
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