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.
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Partially supported by the National Natural Science Foundation of China (No. 11326156, No. 11026048) and partially supported by the Foundation for Young Scholars of Shandong University of Technology.
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Liu, Y., Sun, W. Elementary wave interactions in magnetogasdynamics. Indian J Pure Appl Math 47, 33–57 (2016). https://doi.org/10.1007/s13226-016-0172-9
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DOI: https://doi.org/10.1007/s13226-016-0172-9