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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Well/ill-posedness bifurcation for the Boltzmann equation
玻尔兹曼方程 好/非适定 分岔
2023/4/17
We study the well/ill-posedness of the Boltzmann equation with dispersive methods. We take the constant collision kernel case as the 1st example. We construct a family of special solutions, which are ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Global well-posedness of the 1d compressible Navier-Stokes system with rough data
粗略数据 一维可压缩 纳维-斯托克斯系统 全局适定性
2023/4/24
We study the global well-posedness problem for the 1d compressible Navier-Stokes systems (cNSE) in gas dynamics with rough initial data. First, Liu and Yu (Commun Pure Appl Math 75(2):223-348, 2022) e...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars： Global well-posedness of the 1d compressible Navier-Stokes system with rough data
粗略数据 一维可压缩 纳维-斯托克斯系统 全局适定性
2023/4/24
We study the global well-posedness problem for the 1d compressible Navier-Stokes systems (cNSE) in gas dynamics with rough initial data. First, Liu and Yu (Commun Pure Appl Math 75(2):223-348, 2022) e...
Improved Local Well Posedness For Quasilinear Wave Equations In Dimension Three
Quasilinear Wave Equations Local Well Posedness
2014/4/3
This paper, in collaboration with I. Rodnianski, improves Tataru's well known recent regularity result for quasilinear wave equations. The paper relies on a significant improvement of the geometric te...