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Riemann Problems for Three-dimensional Combustion Models

Riemann Problems for Three-dimensional Combustion Models
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摘要 We investigate Chapman-Jouguet models in three-dimensional space by means of generalized char- acteristic analysis. The interaction of detonation, shock waves and contact discontinuity is discussed intensively in this paper. If contact discontinuity appears, the structure of global solutions becomes complex. We deal with this problem when strength of detonation is small. We investigate Chapman-Jouguet models in three-dimensional space by means of generalized char- acteristic analysis. The interaction of detonation, shock waves and contact discontinuity is discussed intensively in this paper. If contact discontinuity appears, the structure of global solutions becomes complex. We deal with this problem when strength of detonation is small.
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2014年第2期321-346,共26页 应用数学学报(英文版)
基金 Supported by the National Natural Science Foundation of China(No.11071246,10871199 and 11201467) Fundamental Research Funds for the Central Universities(XDJK2014C075 and SWU113062)
关键词 combustion models generalized analysis self-similar solution combustion models generalized analysis self-similar solution
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参考文献7

  • 1Hu, K. Yang, X.Z. Non-selfsimilar Global Solutions and Their Structure for the Multi-dimensional Com- bustion Models. Acta Mathematicae Applicatae Sinica (English Series). To appear.
  • 2Liu, T.P. Zhang, T. A scalar combustion model. Arch. Rational Mech. Anal.] 114:297-312 (1991).
  • 3Sun, M. Sheng, W. The ignition problem for a scalar nonconvex combustion model. Journal of Differential Equations, 231:673-692 (2006).
  • 4Ying, L, Teng, Z. Riemann problem for a reaction and convection hyperbolic system. Approx. Theory Appl. 1:95-122 (1984).
  • 5Zhang, P. Two dimensional Riemann problem for a simplified combustion model. Ph.D. Dissertation, Institute of Mathematics, Academia Sinica, 1997.
  • 6Zhang, P. Zhang, T. Generalized Characteristic Analysis and Guckenheimer Structure. Journal of Differ- ential Equations, 152:409-430 (1997).
  • 7Zhang, T. Zheng, Y. Two-dimensional Riemann problem for a single conservation law. Trans. Amer. Math. Soc. 312:589-619 (1989).

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