Time: 10:00-11:00, December 24 2024

            9:00-10:00, December 25 2024

Venue: E4-233, Yungu Campus

Speaker: Xiao Ren, Peking University

Title: Global solutions to the Euler-Coriolis system

Abstract: I will present a recent result on the global well-posedness and scattering of the Euler equations with a Coriolis force. Equivalently, we prove the global stability for the uniform rotating solution to the Euler equations. This extends the remarkable work of Guo, Pausader and Widmayer in the axisymmetric case to the general non-axisymmetric setting. The proof relies on an inherent null structure of the system, a delicate analysis of the spacetime resonances, and a multiscale wave-packet decomposition. Joint work with Prof. Gang Tian.

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