scholarly journals Global well-posedness of the three-dimensional viscous primitive equations of large scale ocean and atmosphere dynamics

2007 ◽  
Vol 166 (1) ◽  
pp. 245-267 ◽  
Author(s):  
Chongsheng Cao ◽  
Edriss Titi
Keyword(s):  
Large Scale ◽  
Three Dimensional ◽  
Primitive Equations ◽  
Well Posedness

scholarly journals Local Well-Posedness of Strong Solutions to the Three-Dimensional Compressible Primitive Equations

2021 ◽  
Author(s):  
Xin Liu ◽  
Edriss S. Titi
Keyword(s):  
Initial Data ◽  
Three Dimensional ◽  
Strong Solutions ◽  
Atmospheric Dynamics ◽  
Primitive Equations ◽  
Well Posedness ◽  
Short Time

AbstractThis work is devoted to establishing the local-in-time well-posedness of strong solutions to the three-dimensional compressible primitive equations of atmospheric dynamics. It is shown that strong solutions exist, are unique, and depend continuously on the initial data, for a short time in two cases: with gravity but without vacuum, and with vacuum but without gravity.

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