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Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (9): 1064-1073.

• 论文 • 上一篇    下一篇

THE FORMATION OF SHOCK WAVES OF THE EQUATIONS OF MAGNETOHYDRODYNAMICS

董黎明1, 史一蓬2   

  1. 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
  • 收稿日期:2000-03-09 修回日期:2001-03-08 出版日期:2001-09-18 发布日期:2001-09-18

THE FORMATION OF SHOCK WAVES OF THE EQUATIONS OF MAGNETOHYDRODYNAMICS

DONG Li-ming1, SHI Yi-peng2   

  1. 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:2000-03-09 Revised:2001-03-08 Online:2001-09-18 Published:2001-09-18

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摘要： The property of fluid field of one-dimensional magnetohydrodynamics(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.

Abstract: The property of fluid field of one-dimensional magnetohydrodynamics(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.

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