Project Details

The Flows of the Euler Equations with Coriolis Force in Ocean Dynamics

The Euler equations with Coriolis force which is a natural force caused by the rotation of the earth, form the classical model in oceanography and atmospheric dynamics. The Euler equations can provide good approximations and predictions for the real world applications in ocean dynamics. Many scientists and mathematicians have focused on the studies of the exact solutions and qualitative properties of the flow of the Euler equations in fluid dynamics. However, due to the difficulty for controlling the additional term, the rotational force, it is hard to obtaining the corresponding results for the exact solutions and the qualitative study of the Euler equations with Coriolis force, comparing with the classical Euler equations without rotational forces, based on the P.I.’s knowledge. This proposal concerns new exact solutions and the qualitative studies on the flows of the Euler equations with Coriolis force, we aim to develop new methods about the exact solutions and the qualitative properties of the flows for better understanding the nonlinear behavior of the Euler equations with Coriolis force.

Commencement Date : 2018/5
Completion Date : 2019/4
Chief Investigator(s) : Dr YUEN, Man Wai 阮文威 [MIT]
Keyword(s) : Euler Equations with Coriolis Force   Blowup   Qualitative Properties   Exact Solutions  





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