Detonation wave solution to a 1D piston problem for the Zeldovich-von Neumann-Döring combustion model
Detonation wave solution to a 1D piston problem for the Zeldovich-von Neumann-Döring combustion model
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DOI：
10.1016/j.jde.2019.05.025
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发表时间：
2019-10
影响因子：
2.4
通讯作者：
G. Lai
中科院分区：
文献类型：
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作者：
G. Lai
我们考虑具有一步放热化学反应的 Zeldovich-von Neumann-Döring (ZND) 燃烧模型的一维 (1D) 活塞问题。该问题可以看作黎曼初边值问题。为了构造活塞问题的爆震波解，我们考虑 ZND 模型的自由边值问题。该自由边值问题的全局时间经典解的存在性是通过特征方法获得的，只要结合能q足够小。
We consider a one-dimensional (1D) piston problem for the Zeldovich-von Neumann-Döring (ZND) combustion model with a one-step exothermic chemical reaction. This problem can be seen as a Riemann initial-boundary value problem. In order to construct a detonation wave solution to the piston problem, we consider a free boundary value problem for the ZND model. Existence of global in time classical solution to this free boundary value problem is obtained by the method of characteristics, providing that the binding energyqis sufficiently small.