The Formation of Shock Waves of the Equations of Magnetohydrodynamics

DONG Li-ming; SHI Yi-peng

Volume 22 Issue 9

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Article Navigation > Applied Mathematics and Mechanics > 2001 > 22(9): 959-968

DONG Li-ming, SHI Yi-peng. The Formation of Shock Waves of the Equations of Magnetohydrodynamics[J]. Applied Mathematics and Mechanics, 2001, 22(9): 959-968.

Citation:

DONG Li-ming, SHI Yi-peng. The Formation of Shock Waves of the Equations of Magnetohydrodynamics[J]. Applied Mathematics and Mechanics, 2001, 22(9): 959-968.

Citation:

DONG Li-ming, SHI Yi-peng. The Formation of Shock Waves of the Equations of Magnetohydrodynamics[J]. Applied Mathematics and Mechanics, 2001, 22(9): 959-968.

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The Formation of Shock Waves of the Equations of Magnetohydrodynamics

DONG Li-ming¹,
SHI Yi-peng²

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

Received Date: 2000-03-08
Rev Recd Date: 2001-03-05
Publish Date: 2001-09-15

Abstract

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

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References(5)

References

[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.

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