Institute of Mathematics for Industry

Seminar



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Global well-posedness and fast rotation limits for the Navier-Stokes-Coriolis equations in a 3D layer


Hold Date 2021-01-22 15:30~2021-01-22 16:00

Place Zoom

Object person  

Speaker Hiroki Oyama (Kyushu University)

In this talk, we consider the initial value problem for the Navier-Stokes equation with the Coriolis force in a three-dimensional infinite layer.
We prove the unique existence of global solutions for initial data in the scaling invariant space when the speed of rotation is sufficiently high.
Furthermore, we consider the fast rotation limits, and show that the global solution converges to that of 2D incompressible Navier-Stokes equations in some global in time space-time norms.