GLOBAL SMOOTH SOLUTIONS TO THE TWO-DIMENSIONAL AXISYMMETRIC ZELDOVICH-VON NEUMANN-DORING COMBUSTION EQUATIONS WITH SWIRL

被引:0
作者
Chen, Honghua [1 ,2 ]
Lai, Geng [1 ,3 ]
Sheng, Wancheng [2 ]
机构
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
[2] Ludong Univ, Sch Math & Stat Sci, Yantai 264025, Peoples R China
[3] Shanghai Univ, Newtouch Ctr Math, Shanghai 200444, Peoples R China
基金
美国国家科学基金会;
关键词
ZND combustion model; axial symmetric flow; characteristic decomposition; vacuum; COMPRESSIBLE EULER EQUATIONS; WELL-POSEDNESS; RAREFACTION WAVES; PHYSICAL VACUUM; EXISTENCE; DETONATION; STABILITY; MOTION; MODEL;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper studies the two-dimensional (2D) Zeldovich-von Neumann-Do<spacing diaeresis>ring (ZND) combustion equations with initial data, which are a combination of an axisymmetric flow in a ring and vacuum in the remaining domain. Existence of a global-in-time smooth solution to the initial value problem is obtained by the method of characteristic decomposition, provided that the initial data satisfy some sufficient conditions. The large-time behavior of the solution is also studied. As a result, at any time, the ring continues to expand until the gas burns out in infinite time for the system. The solution describes a phenomenon of the expansion of 2D reacting flows with swirl in vacuum or a phenomenon of "fire whirl".
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页码:1549 / 1567
页数:19
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