The Coriolis force induces a dispersive mechanism in 3D incompressible fluids (inertial waves),which is strongly anisotropic and degenerate. In this talk, we present the global well-posedness and scattering results for the Euler-Coriolis system. Equivalently, we show the global stability of the uniformly rotating solution to the pure Euler equations. We will introduce a precise upper bound for the linear dispersion, the nonlinear null structures, the techniques involved in the proof of global stability, as well as a result on the convergence of Lagrangian coordinates. Based on joint work with Prof. Gang Tian.
