| THE GENERALIZED RIEMANN PROBLEM FOR A SCALAR NONCONVEX COMBUSTION MODEL-THE PERTURBATION ON INITIAL BINDING ENERGY |
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| 作者姓名： | 潘丽君 盛万成 |
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| 作者单位： | Department of Mathematics,Nanjing University of Aeronautics and Astronautics;Department of Mathematics,Shanghai University |
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| 基金项目： | 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. |
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| 摘 要： | In this article,we study the generalized Riemann problem for a scalar nonconvex Chapman-Jouguet combustion model in a neighborhood of the origin (t ＞ 0) on the (x,t) plane.We focus our attention to the...
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| 关 键 词： | Scalar nonconvex Chapman-Jouguet combustion model binding energy perturbation detonation deflagration |
| 收稿时间： | 26 June 2010 |
THE GENERALIZED RIEMANN PROBLEM FOR A SCALAR NONCONVEX COMBUSTION MODEL THE PERTURBATION ON INITIAL BINDING ENERGY＊ |
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| Pan Lijun
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Sheng Wancheng.THE GENERALIZED RIEMANN PROBLEM FOR A SCALAR NONCONVEX COMBUSTION MODEL-THE PERTURBATION ON INITIAL BINDING ENERGY[J].Acta Mathematica Scientia,2012,32(3):1262-1280. |
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| Authors: | Pan Lijun Sheng Wancheng |
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| Institution: | 1. Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China
2. Department of Mathematics, Shanghai University, Shanghai 200444, China |
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| Abstract: | 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. |
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| Keywords: | Scalar nonconvex Chapman-Jouguet combustion model binding energy perturbation detonation deflagration |
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