Corpus ID: 208006827

Structural stability of shock waves and current-vortex sheets in shallow water magnetohydrodynamics

@inproceedings{Trakhinin2019StructuralSO,
  title={Structural stability of shock waves and current-vortex sheets in shallow water magnetohydrodynamics},
  author={Yuri Trakhinin},
  year={2019}
}
  • Yuri Trakhinin
  • Published 2019
  • Mathematics, Physics
  • We study the structural stability of shock waves and current-vortex sheets in shallow water magnetohydrodynamics (SMHD) in the sense of the local-in-time existence and uniqueness of discontinuous solutions satisfying corresponding jump conditions. The equations of SMHD form a symmetric hyperbolic system which is formally analogous to the system of 2D compressible elastodynamics for particular nonphysical deformations. Using this analogy and the recent results in [Morando A., Trakhinin Y… CONTINUE READING

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