Semi-hyperbolic patches of solutions to the two-dimensional compressible magnetohydrodynamic equations

Jianjun Chen, Geng Lai
2019 Communications on Pure and Applied Analysis  
We construct semi-hyperbolic patches of solutions, in which one family out of two families of wave characteristics start on sonic curves and end on transonic shock waves, to the two-dimensional (2D) compressible magnetohydrodynamic (MHD) equations. This type of flow patches appear frequently in transonic flow problems. In order to use the method of characteristic decomposition to construct such a flow patch, we also derive a group of characteristic decompositions for 2D self-similar MHD
more » ... similar MHD equations. 2000 Mathematics Subject Classification. Primary: 35L65, 35J70, 35R35; Secondary: 35J65.
doi:10.3934/cpaa.2019046 fatcat:h6jvbgiymjdtlk2vwx2jfagzve