Local existence and blow-up criterion of the ideal density-dependent flows

@article{He2016LocalEA,
  title={Local existence and blow-up criterion of the ideal density-dependent flows},
  author={Fangyi He and Jishan Fan and Yong Zhou},
  journal={Boundary Value Problems},
  year={2016},
  volume={2016},
  pages={1-13}
}
In this paper, we consider two ideal density-dependent flows in a bounded domain, the Euler and magnetohydrodynamics equations. We prove the local existence and a blow-up criterion for each system. 
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