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Well-posedness of the Muskat problem

PDE and Applied Math Seminar

Speaker: Quoc Hung Nguyen, ShanghaiTech University
Related Webpage: https://nguyenquochung1241.wixsite.com/qhung
Location: Zoom
Start time: Thu, May 13 2021, 4:10PM

In this talk, I will present local/global well-posedness results for the 2d/3d Muskat problem in critical spaces. Moreover, I will also discuss a toy model for the 2d Muskat which is globally well-posed for large data in a supercritical space. This is based on works in collaboration with Thomas Alazard, Omar Lazar, Ke Chen, Yiran Xu and Stephen Cameron.