Global solutions to the Euler-Coriolis system
发布时间:2024年06月13日
浏览次数:667
发布者: Qi Liu
主讲人: Dr.Xiao Ren(BICMR,PKU)
活动时间: 从 2024-06-19 10:00 到 12:00
场地: 北京国际数学研究中心,镜春园78号院(怀新园)78301室
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.