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Global well-posedness and a decay estimate for the critical dissipative quasi-geostrophic equation in the whole space

Hongjie Dong Dapeng Du

Analysis of PDEs mathscidoc:1912.431021

Discrete Contin. Dyn. Syst. A, 21, 1095-1101, 2007.1
We study the critical dissipative quasi-geostrophic equations in $\bR^ 2$ with arbitrary H^ 1 initial data. After showing certain decay estimate, a global well-posedness result is proved by adapting the method in [11] with a suitable modification. A decay in time estimate for higher order homogeneous Sobolev norms of solutions is also discussed.
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@inproceedings{hongjie2007global,
  title={Global well-posedness and a decay estimate for the critical dissipative quasi-geostrophic equation in the whole space},
  author={Hongjie Dong, and Dapeng Du},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224211304461882585},
  booktitle={Discrete Contin. Dyn. Syst. A},
  volume={21},
  pages={1095-1101},
  year={2007},
}
Hongjie Dong, and Dapeng Du. Global well-posedness and a decay estimate for the critical dissipative quasi-geostrophic equation in the whole space. 2007. Vol. 21. In Discrete Contin. Dyn. Syst. A. pp.1095-1101. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224211304461882585.
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