Evans function stability of non-adiabatic combustion waves
Evans function stability of non-adiabatic combustion waves
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非绝热燃烧波的埃文斯函数稳定性
DOI：
10.1098/rspa.2004.1285
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发表时间：
2004
期刊：
影响因子：
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通讯作者：
R. Weber
中科院分区：
文献类型：
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作者：
V. Gubernov;G. Mercer;H. Sidhu;R. Weber
本文研究了零和非零环境温度下平面行进非绝热燃烧锋面的线性稳定性和性质。采用射击法和松弛法对锋面速度进行了数值估计。结果表明，对于给定的参数值，解要么不存在，要么有两个解具有不同的前转速值，称为“快”和“慢”。采用复合矩阵法推广的Evans函数方法，对行波解的线性稳定性问题进行了数值求解。我们证明了解的“慢”分支是不稳定的，而“快”分支可以是稳定的或表现出Hopf或Bogdanov-Takens不稳定，这取决于参数值。
In this paper we investigate the linear stability and properties of the planar travelling non–adiabatic combustion front for the cases of zero and non–zero ambient temperature. The speed of the front is estimated numerically using the shooting and relaxation methods. It is shown that for given parameter values the solution either does not exist or there are two solutions with different values of the front speed, which are referred to as ‘fast’ and ‘slow’. The Evans function approach extended by the compound–matrix method is employed to numerically solve the linear–stability problem for the travelling–wave solution. We demonstrate that the ‘slow’ branch of the solutions is unstable, whereas the ‘fast’ branch can be stable or exhibits Hopf or Bogdanov–Takens instability, depending on the parameter values.
DOI：
10.1007/b98848
发表时间：
2023
期刊：
Applied Mathematical Sciences
影响因子：
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作者：
Y. Kuznetsov
通讯作者：
Y. Kuznetsov