Global solutions to the Euler-Coriolis system
Time: 2024-06-13
Published By: Qi Liu
Speaker(s): Dr.Xiao Ren(BICMR,PKU)
Time: 10:00-12:00 June 19, 2024
Venue: Room 78301, Jingchunyuan 78, BICMR
We prove the global well-posedness and scattering for the 3D incompressible Euler-Coriolis system with sufficiently small, regular and localized initial data. Equivalently, we obtain global asymptotic stability for the uniform rotating solutions to the pure Euler system. This extends a recent work of Guo, Pausader and Widmayer to the general non-axisymmetric setting. The proof involves a new inherent null type structure, a multiscale decomposition for bilinear forms and sharp dispersive estimates. Based on joint work with Prof. Gang Tian.