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MHD boundary layers in Sobolev spaces without monotonicity, II: Convergence theory

CJ Liu Feng Xie Tong Yang

Analysis of PDEs mathscidoc:1912.43991

arXiv preprint ArXiv:1704.00523, 2017.4
As a continuation of [28], the paper aims to justify the high Reynolds numbers limit for the MHD system with Prandtl boundary layer expansion when no-slip boundary condition is imposed on the velocity field and the perfect conducting boundary condition is given for the magnetic field. Under an assumption that the viscosity and resistivity coefficients are of the same order and the initial tangential magnetic field on the boundary is not degenerate, we justify the validity of the Prandtl boundary layer expansion and give a L8 estimate on the error by multi-scale analysis.
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@inproceedings{cj2017mhd,
  title={MHD boundary layers in Sobolev spaces without monotonicity, II: Convergence theory},
  author={CJ Liu, Feng Xie, and Tong Yang},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224211110200583555},
  booktitle={arXiv preprint ArXiv:1704.00523},
  year={2017},
}
CJ Liu, Feng Xie, and Tong Yang. MHD boundary layers in Sobolev spaces without monotonicity, II: Convergence theory. 2017. In arXiv preprint ArXiv:1704.00523. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224211110200583555.
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