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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.AP2020
Global well-posedness for a rapidly rotating convection model of tall columnar structure in the limit of infinite Prandtl number
Chongsheng Cao, Yanqiu Guo, Edriss S. Titi
We analyze a three-dimensional rapidly rotating convection model of tall columnar structure in the limit of infinite Prandtl number, i.e., when the momentum diffusivity is much mor…