Finite-Time Blowup for the Inviscid Primitive Equations of Oceanic and Atmospheric Dynamics

@article{Cao2012FiniteTimeBF,
  title={Finite-Time Blowup for the Inviscid Primitive Equations of Oceanic and Atmospheric Dynamics},
  author={Chongsheng Cao and S. A. Hoda Ibrahim and Kenji Nakanishi and Edriss S. Titi},
  journal={Communications in Mathematical Physics},
  year={2012},
  volume={337},
  pages={473-482}
}
In an earlier work we have shown the global (for all initial data and all time) well-posedness of strong solutions to the three-dimensional viscous primitive equations of large scale oceanic and atmospheric dynamics. In this paper we show that for certain class of initial data the corresponding smooth solutions of the inviscid (non-viscous) primitive equations, if they exist, they blow up in finite time. Specifically, we consider the three-dimensional inviscid primitive equations in a three… 
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