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A study on the boundary layer for the planar magnetohydrodynamics system

QIN Xulong Tong Yang Zheng-an Yao Wenshu Zhgou

Fluid Dynamics and Shock Waves mathscidoc:1912.431004

Acta Mathematica Scientia, 35, (4), 787-806, 2015.7
The paper aims to estimate the thickness of the boundary layer for the planar MHD system with vanishing shear viscosity . Under some conditions on the initial and boundary data, we show that the thickness is of the order | In |. Note that this estimate holds also for the Navier-Stokes system so that it extends the previous works even without the magnetic effect.
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@inproceedings{qin2015a,
  title={A study on the boundary layer for the planar magnetohydrodynamics system},
  author={QIN Xulong, Tong Yang, Zheng-an Yao, and Wenshu Zhgou},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224211154810721568},
  booktitle={Acta Mathematica Scientia},
  volume={35},
  number={4},
  pages={787-806},
  year={2015},
}
QIN Xulong, Tong Yang, Zheng-an Yao, and Wenshu Zhgou. A study on the boundary layer for the planar magnetohydrodynamics system. 2015. Vol. 35. In Acta Mathematica Scientia. pp.787-806. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224211154810721568.
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