Stability of strong detonation waves for Majda’s model with general ignition functions

DOI10.1090/qam/1582zbMath1461.76170arXiv2003.07715OpenAlexW3092199738MaRDI QIDQ5858936

Soyeun Jung, Kevin Zumbrun, Zhao Yang

Publication date: 15 April 2021

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.07715

zbMATH Keywords

spectral stabilitygeneralized Sturm-Liouville problemEvans-Lopatinsky determinant

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Shock waves and blast waves in fluid mechanics (76L05) Interfacial stability and instability in hydrodynamic stability (76E17) Combustion (80A25) Reaction effects in flows (76V05)

Cites Work

• Stability of detonation profiles in the ZND limit
• A stability index for detonation waves in Majda's model for reacting flow
• Spectral stability of hydraulic shock profiles
• High-frequency asymptotics and one-dimensional stability of Zel'dovich-von Neumann-Döring detonations in the small-heat release and high-overdrive limits
• A Sturm-Liouville theorem for quadratic operator pencils
• Stability of hydraulic shock profiles
• Stability of ZND detonations for Majda’s model
• Stability of Step Shocks
• A Qualitative Model for Dynamic Combustion
• Equivalence of low frequency stability conditions for multidimensional detonations in three models of combustion
• Stability of Idealized One-Reaction Detonations

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