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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Dong, Lm., Shi, Yp. The Formation of Shock Waves of the Equations of Magnetohydrodynamics. Applied Mathematics and Mechanics 22, 1064–1073 (2001). https://doi.org/10.1023/A:1016368527071
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DOI: https://doi.org/10.1023/A:1016368527071