Elementary wave interactions in magnetogasdynamics

Yujin Liu () and Wenhua Sun
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Yujin Liu: Shandong University of Technology
Wenhua Sun: Shandong University of Technology

Indian Journal of Pure and Applied Mathematics, 2016, vol. 47, issue 1, 33-57

Abstract: Abstract This paper is mainly concerned with the interactions of the elementary waves for the one-dimensional ideal Magnetogasdynamics with transverse magnetic field. By applying the method of the characteristic analysis, we obtain constructively the solutions of the all possible wave interactions when the initial data are three piecewise constant states. We find that the result is very different from that of the corresponding case of the conventional gas dynamics. However, the result is consistent with that of the corresponding case for Euler equations when the magnetic field vanishes.

Keywords: Wave interaction; Riemann problem; magnetogasdynamics; shock wave; rarefaction wave; contact discontinuity (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s13226-016-0172-9

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