论文标题
MAJDA模型具有一般点火功能的强爆炸波的稳定性
Stability of strong detonation waves for Majda's model with general ignition functions
论文作者
论文摘要
对于Inviscid Majda模型的强爆炸波，Jung和Yao的频谱稳定性是通过基于波动剖面的明确知识的证据来确定具有渐变点火功能的波。在目前的工作中，我们将其稳定性结果扩展到具有更通用的点火功能的强爆炸波，而显式曲线未知。我们的证明是基于简化的Sturm-Liouville问题，类似于Sukhtayev，Yang和Zumbrun使用的问题，用于研究圣经方程式的液压冲击谱的光谱稳定性。
For strong detonation waves of the inviscid Majda model, spectral stability was established by Jung and Yao for waves with step-type ignition functions, by a proof based largely on explicit knowledge of wave profiles. In the present work, we extend their stability results to strong detonation waves with more general ignition functions where explicit profiles are unknown. Our proof is based on reduction to a generalized Sturm-Liouville problem, similar to that used by Sukhtayev, Yang, and Zumbrun to study spectral stability of hydraulic shock profiles of the Saint-Venant equations.
