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Seminars

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.