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Well-posedness for the viscous shallow water equations in critical spaces

Analysis of PDEs 2020-05-08 v3

Abstract

In this paper, we prove the existence and uniqueness of the solutions for the 2D viscous shallow water equations with low regularity assumptions on the initial data as well as the initial height bounded away from zero.

Keywords

Cite

@article{arxiv.math/0606081,
  title  = {Well-posedness for the viscous shallow water equations in critical spaces},
  author = {Qionglei Chen and Changxing Miao and Zhifei Zhang},
  journal= {arXiv preprint arXiv:math/0606081},
  year   = {2020}
}

Comments

32 pages