The formation of shock waves of the equations of magnetohydrodynamics
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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.
Key wordsMHD transverse flow shock wave entropy solutions
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- KONG De-xing. Cauchy problem for quasilinear hyperbolic systems[D]. Thesis for PhD Degree. Shanghai: Fudan University, 1993. (in Chinese)Google Scholar
- DONG Li-ming. Formation of shock waves by quasilinear hyperbolic equations[D]. Thesis for PhD Degree. Shanghai: Fudan University, 1999. (in Chinese)Google Scholar