Applied Mathematics and Mechanics

, Volume 22, Issue 9, pp 1064–1073 | Cite as

The Formation of Shock Waves of the Equations of Magnetohydrodynamics

  • Li-ming Dong
  • Yi-peng Shi


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.

MHD transverse flow shock wave entropy solutions 


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Copyright information

© Kluwer Academic Publishers 2001

Authors and Affiliations

  • Li-ming Dong
    • 1
  • Yi-peng Shi
    • 2
  1. 1.Department of Applied MathematicsEast-China University of Science and TechnologyShanghaiP R China
  2. 2.Institute of MathematicsPudan UniversityShanghaiP R China

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