ON THE RIEMANN PROBLEM FOR A SCALAR ZELDOVICH-VON NEUMANN-DORING COMBUSTION MODEL

被引：3
作者：
Lai, Geng [1 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
来源：
SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2014年 / 46卷 / 04期
关键词：
CJ model; ZND model; Majda's combustion model; Riemann problem; CJ limit; GAS-DYNAMIC COMBUSTION; REACTING GAS; DETONATION-WAVES; STABILITY; FLOW; TRANSITION;
D O I：
10.1137/130920848
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the Riemann problem for Majda's Zeldovich-von Neumann-Doring (ZND) combustion model with a "bump-type" ignition function proposed by Lyng and Zumbrun [Phys. D, 194 (2004), pp. 1-29]. The global existence of piecewise smooth entropy solutions is obtained constructively. These solutions involve detonation and deflagration waves. The limiting behavior of deflagration wave solutions to the Riemann problem when the reacting rate tends to infinity is also considered.
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页码：2404 / 2443
页数：40
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