磁流体力学方程组的激波生成

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The Formation of Shock Waves of the Equations of Magnetohydrodynamics

1.
Department of Applied Mathematics, East-China University of Science and Technology, Shanghai 200237, P R China;
2.
Institute of Mathematics, Fudan University, Shanghai 200433, P R China

摘要: 研究磁流体横向流动的一维模型,在解的强间断出现后流场的性质。利用迭代法具体构造了该方程组的强间断—激波以及问题的熵解。同时,利用激波的性质,给出了各物理参量在爆破点附近的奇性估计。
- 磁流体横向流动 /
- 激波生成 /
- 熵解
Abstract: The property of fluid field of one-dimensional magnetohy drodynamics(MHD) transverse flow after the appearance of singularity is discussed. By the method of iteration, the strong discontinuity (shock wave) and entropy solution are constructed and the estimations on the singularity of the solution near the point of blow-up are obtained.
- MHD transverse flow /
- shockwave /
- entropy solutions

[1]	Sideris T C. Formation of singularities in three dimensional compressible fluid[J]. Comm Math Phys,1985,101(3):475-485.
[2]	Rammaha M A. On the formation of singularities in magneto-hynanic waves[J]. J Math Anal Appl,1994,188(3):940-955.
[3]	孔德兴. 拟线性双曲组的Cauchy问题[D]. 博士学位论文. 上海:复旦大学,1993.
[4]	董黎明. 拟线性双曲型方程组的激波生成[D]. 博士学位论文. 上海: 复旦大学,1999.
[5]	Lebaud M P. Description de la formation d'un choc dans le p-systems[J]. J Math Pure Appl,1994,73(6):523-565.