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Gevrey stability of hydrostatic approximate for the Navier-Stokes equations in a thin domain

Analysis of PDEs 2021-10-27 v1

Abstract

In this paper, we justify the limit from the Navier-Stokes system in a thin domain to the hydrostatic Navier-Stokes/Prandtl system for the convex initial data with Gevrey 9/8 regualrity in xx.

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Cite

@article{arxiv.2004.05537,
  title  = {Gevrey stability of hydrostatic approximate for the Navier-Stokes equations in a thin domain},
  author = {Chao Wang and Yuxi Wang and Zhifei Zhang},
  journal= {arXiv preprint arXiv:2004.05537},
  year   = {2021}
}

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31 pages