Existence of global smooth solutions for Euler equations with symmetry (II)

Tong Yang Changjiang Zhu Yongshu Zheng

Analysis of PDEs mathscidoc:1912.43999

Nonlinear Analysis, Theory, Methods and Applications, 41, (1), 187-203, 2000.7
The compressible Euler equations, which govern the gas flow surrounding a solid ball with mass M and frictional damping in n dimensions, t+(u)= 0,(u) t+ (u u)+ P ()=-Mx/| x| n-2u, where , u, P and M are the density, velocity, pressure and mass of the gas, respectively, n 3 is the dimension of x, and > 0 is the frictional constant, are examined. The pressure is assumed to satisfy the law and 12 , K is a positive constant. The existence and non-existence of global smooth solutions are studied for the initial boundary problem of the Euler equations.
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@inproceedings{tong2000existence,
  title={Existence of global smooth solutions for Euler equations with symmetry (II)},
  author={Tong Yang, Changjiang Zhu, and Yongshu Zheng},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224211135192124563},
  booktitle={Nonlinear Analysis, Theory, Methods and Applications},
  volume={41},
  number={1},
  pages={187-203},
  year={2000},
}
Tong Yang, Changjiang Zhu, and Yongshu Zheng. Existence of global smooth solutions for Euler equations with symmetry (II). 2000. Vol. 41. In Nonlinear Analysis, Theory, Methods and Applications. pp.187-203. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224211135192124563.
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