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arXiv · 1205.6991

Stability of ZND detonations for Majda's model

Soyeun Jung·Jinghua Yao
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Abstract

We evaluate by direct calculation the Lopatinski determinant for ZND detonations in Majda's model for reacting flow, and show that on the nonstable (nonnegative real part) complex half-plane it has a single zero at the origin of multiplicity one, implying stability. Together with results of Zumbrun on the inviscid limit, this recovers the result of RoqueJoffre-Vila that viscous detonations of Majda's model also are stable for sufficiently small viscosity, for any fixed detonation strength, heat release, and rate of reaction.

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Soyeun Jung, Jinghua Yao. 2012-07-18. Stability of ZND detonations for Majda's model. https://arxiv.org/abs/1205.6991

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