• Corpus ID: 239050017

Low regularity ill-posedness and shock formation for 3D ideal compressible MHD

@inproceedings{An2021LowRI,
  title={Low regularity ill-posedness and shock formation for 3D ideal compressible MHD},
  author={Xinliang An and Hao-Lei Chen and Silu Yin},
  year={2021}
}
The study of magnetohydrodynamics (MHD) significantly boosts the understanding and development of solar physics, planetary dynamics and controlled nuclear fusion. Dynamical properties of the MHD system involve nonlinear interactions of waves with multiple travelling speeds (the fast and slow magnetosonic waves, the Alfv\'{e}n wave and the entropy wave). One intriguing topic is the shock phenomena accompanied by the magnetic field, which have been affirmed by astronomical observations. However… 

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