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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Existence of hyperbolic motions for Newtonian and generalized N-body problem（II）
牛顿 广义N体问题 双曲运动 存在性
2023/8/22
For the classical N-body problem, Maderna-Venturelli [Ann. Math. 2020] proved the existence of hyperbolic motions with any positive energy constant, starting from any configuration and along any nonco...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On strongly quasiconvex functions: existence results and proximal point algorithms
强准孔函数 存在结果 近端点算法
2023/5/3
The class of strongly quasiconvex functions was introduced in the famous paper of B.T. Polyak in 1966. It is the natural extension of the class of strongly convex functions, its applications emcompass...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Global existence and decay of solutions to compressible Prandtl system with small analytic data
少量分析数据 可压缩 Prandtl系统解 全局存在 衰减
2023/3/15
In this talk, we shall prove the global existence and the large time decay estimate of solutions to compressible Prandtl system with small initial data, which is analytical in the tangential variable....
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Existence of phase transition for percolation using the Gaussian Free Field
高斯自由 伯努利渗透 相变存在
2022/11/23
In this talk, we prove that Bernoulli percolation on graph undergoes a non-trivial phase transition if the graph has bounded degrees and random walk on the graph has a heat kernel with rapid decay. Th...