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H\"{o}lder Continuous Solutions to the Three-dimensional Prandtl System

Tianwen Luo Tsinghua University Zhouping Xin The Chinese University of Hong Kong

Analysis of PDEs mathscidoc:1906.03007

Adapting the convex integration technique introduced in \cite{dLSz5} and subsequently developed in \cite{IsettVicol,IsettOh16,Buckmaster2013transporting}, we construct H\"{o}lder continuous weak solutions to the three dimensional Prandtl system and some other models with vertical viscosity.
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@inproceedings{tianwenh\"{o}lder,
  title={H\"{o}lder Continuous Solutions to the Three-dimensional Prandtl System},
  author={Tianwen Luo, and Zhouping Xin},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20190628071357864188379},
}
Tianwen Luo, and Zhouping Xin. H\"{o}lder Continuous Solutions to the Three-dimensional Prandtl System. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20190628071357864188379.
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