THE GENERALIZED RIEMANN PROBLEM FOR A SCALAR NONCONVEX COMBUSTION MODEL—THE PERTURBATION ON#br#
INITIAL BINDING ENERGY

doi:10.1016/S0252-9602(12)60098-8

数学物理学报(英文版) ›› 2012, Vol. 32 ›› Issue (3): 1262-1280.doi: 10.1016/S0252-9602(12)60098-8

• 论文 • 上一篇

THE GENERALIZED RIEMANN PROBLEM FOR A SCALAR NONCONVEX COMBUSTION MODEL—THE PERTURBATION ON#br# INITIAL BINDING ENERGY

潘丽君¹|盛万成²

1.Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China|2.Department of Mathematics, Shanghai University, Shanghai 200444, China

收稿日期:2010-06-26 出版日期:2012-05-20 发布日期:2012-05-20
基金资助:
Supported by NUAA Research Funding (NS2011001), NUAA'S Scientific Fund for the Introduction of Qualified Personal, NSFC grant 10971130, Shanghai Leading Academic Discipline Project J50101, and Shanghai Municipal Education Commission of Scientific Research Innovation Project 112284.

THE GENERALIZED RIEMANN PROBLEM FOR A SCALAR NONCONVEX COMBUSTION MODEL—THE PERTURBATION ON#br# INITIAL BINDING ENERGY

PAN Li-Jun¹, SHENG Wan-Cheng²

1.Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China|2.Department of Mathematics, Shanghai University, Shanghai 200444, China

Received:2010-06-26 Online:2012-05-20 Published:2012-05-20
Supported by:
Supported by NUAA Research Funding (NS2011001), NUAA'S Scientific Fund for the Introduction of Qualified Personal, NSFC grant 10971130, Shanghai Leading Academic Discipline Project J50101, and Shanghai Municipal Education Commission of Scientific Research Innovation Project 112284.

摘要/Abstract

摘要：

In this article, we study the generalized Riemann problem for a scalar non-convex Chapman-Jouguet combustion model in a neighborhood of the origin (t > 0) on the (x, t) plane. We focus our attention to the perturbation on initial binding energy. The solutions are obtained constructively under the entropy conditions. It can be found that the solutions are essentially different from the corresponding Riemann solutions for some cases. Especially, two important phenomena are observed: the transition from detonation to deflagration followed by a shock, which appears in the numerical simulations [7, 27]; the transition from deflagration to detonation (DDT), which is one of the core problems in gas dynamic combustion.

关键词: Scalar nonconvex Chapman-Jouguet combustion model, binding energy, perturbation, detonation, deflagration

Abstract:

Key words: Scalar nonconvex Chapman-Jouguet combustion model, binding energy, perturbation, detonation, deflagration

中图分类号:

35L45

潘丽君, 盛万成. THE GENERALIZED RIEMANN PROBLEM FOR A SCALAR NONCONVEX COMBUSTION MODEL—THE PERTURBATION ON#br# INITIAL BINDING ENERGY[J]. 数学物理学报(英文版), 2012, 32(3): 1262-1280.

PAN Li-Jun, SHENG Wan-Cheng. THE GENERALIZED RIEMANN PROBLEM FOR A SCALAR NONCONVEX COMBUSTION MODEL—THE PERTURBATION ON#br# INITIAL BINDING ENERGY[J]. Acta mathematica scientia,Series B, 2012, 32(3): 1262-1280.

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THE GENERALIZED RIEMANN PROBLEM FOR A SCALAR NONCONVEX COMBUSTION MODEL—THE PERTURBATION ON#br# INITIAL BINDING ENERGY

THE GENERALIZED RIEMANN PROBLEM FOR A SCALAR NONCONVEX COMBUSTION MODEL—THE PERTURBATION ON#br# INITIAL BINDING ENERGY

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