Detonation wave solution to a 1D piston problem for the Zeldovich-von Neumann-Doring combustion model

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:267

Article

Lai, Geng¹ 

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

关键词: ZND model;    Piston problem;    Detonation wave;    Free boundary value problem;   

DOI  :  10.1016/j.jde.2019.05.025

来源: Elsevier

【 摘 要 】

We consider a one-dimensional (1D) piston problem for the Zeldovich-von Neumann-Doring (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 energy q is sufficiently small. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free