Stability of ZND detonations for Majda’s model

DOI10.1090/S0033-569X-2011-01232-3zbMath1398.76058arXiv1205.6991MaRDI QIDQ3225360

Soyeun Jung, Jinghua Yao

Publication date: 19 March 2012

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

Full work available at URL: https://arxiv.org/abs/1205.6991

zbMATH Keywords

eigenvalue equationLopatinski determinantprofile solution

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) Reaction effects in flows (76V05)

Related Items (3)

Stability of detonation profiles in the ZND limit ⋮ High-frequency asymptotics and one-dimensional stability of Zel'dovich-von Neumann-Döring detonations in the small-heat release and high-overdrive limits ⋮ Stability of strong detonation waves for Majda’s model with general ignition functions

Cites Work

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• Transition to longitudinal instability of detonation waves is generically associated with Hopf bifurcation to time-periodic galloping solutions
• Pointwise Green function bounds and stability of combustion waves
• On the stability of waves of nonlinear parabolic systems
• One-dimensional stability of viscous strong detonation waves
• A stability index for detonation waves in Majda's model for reacting flow
• A Qualitative Model for Dynamic Combustion
• Equivalence of low frequency stability conditions for multidimensional detonations in three models of combustion
• Spinning instability of gaseous detonations
• Stability of Idealized One-Reaction Detonations

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