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Global well-posedness of the 3-D primitive equations with Caputo time-fractional derivative
  • Yeqing Shan,
  • Guangying Lu
Yeqing Shan
Nanjing University of Information Science and Technology

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Guangying Lu
Nanjing University of Information Science and Technology
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Abstract

This paper considers the initial-boundary value problem of the Caputo time-fractional three-dimensional primitive equations for oceanic and atmospheric. Referring to Cao-Titi (Ann. of Math. 245-267, 2007), we consider the results of time-fractional case and obtain the global well-posedness of time-fractional primitive equations. It is proved that the well-posedness of the time fractional atmospheric ocean equation is still valid.