2 papers
math.AP2020
Finite-time Blowup and Ill-posedness in Sobolev Spaces of the Inviscid Primitive Equations with Rotation
Slim Ibrahim, Quyuan Lin, Edriss S. Titi
Large scale dynamics of the oceans and the atmosphere are governed by the primitive equations (PEs). It is well-known that the three-dimensional viscous PEs is globally well-posed…
math.AP2019
On the Well-posedness of Reduced Primitive Geostrophic Adjustment Model with Weak Dissipation
Chongsheng Cao, Quyuan Lin, Edriss S. Titi
In this paper we prove the local well-posedness and global well-posedness with small initial data of the strong solution to the reduced primitive geostrophic adjustment model…