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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Long-time asymptotics of soliton equations via the nonlinear steepest descent method
非线性 最速下降法 孤立子方程 长时间渐近性
2023/11/13
Based on the matrix block technique, the Deift-Zhou nonlinear steepest descent method is developed in order to study the asymptotic analysis of solutions of some nonlinear evolution equations associat...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Singular Solutions to the Yamabe Equation with Prescribed Asymptotics
规定渐近 山部方程 奇异解
2023/4/25
We study positive solutions of the Yamabe equation with isolated singularity and prove the existence of solutions with prescribed asymptotic expansions near singular points and an arbitrarily high ord...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Defocusing NLS equation with nonzero background: Painleve asymptotics in transition region
非零背景 散焦NLS方程 过渡区 疼痛渐近
2023/5/5
Consider to the Cauchy problem of the defocusing NLS equation with a nonzero background. With the Dbar steepest descent method and double scaling limit, we obtain Painleve asymptotics in two transitio...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Precise late-time asymptotics for the scalar field in the interior of Kerr BH and SCC
KerrBH SCC 内部标量场 精确后期 渐近性 Kerr-Cauchy视界
2023/5/16
In this talk, I will introduce the precise late-time asymptotics for the scalar field in the interior of a non-static subextreme Kerr black hole, which provides a new proof of the generic $H^1_{loc}$-...