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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Recent progress on steady Prandtl equation and Tollmien-Schlichting waves
稳定 Prandtl方程 Tollmien-Schlichting波
2023/11/9
The Prandtl equation introduced by Prandtl in 1904 is a basic equation describling the behavior of the fluid near the boundary at high Reynolds number regime. In this talk, I will first introduce some...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Recent progress on holomorphic Morse inequalities
全纯 Morse不等式 CR流形
2023/11/13
In this talk, we present recent progress on holomorphic Morse inequalities. We first review the history and motivation. Then we introduce recent results on CR manifolds. Finally we give a uniform proo...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Some recent progress on the gradient estimates for the insulated conductivity problem
绝缘 电导率 梯度估计 椭圆偏微分方程
2023/4/17
In this talk, I will describe an elliptic PDE that models electric conduction, and the electric field concentration phenomenon between closely spaced inclusions of high contrast. In the first part, I ...
Recent Progress on de Finetti's Notions of Exchangeability
Progress interchangeability concept
2015/7/14
Recent Progress on de Finetti's Notions of Exchangeability.
In this paper we describe our current research in the theory of partial di erential equations in conformal geometry. We introduce a bubble tree structure to study the degeneration of a class of Yamabe...
Progress Towards Counting D_5 Quintic Fields
Progress Towards D_5 Quintic Fields Number Theory
2011/9/15
Abstract: Let $N(5,D_5,X)$ be the number of quintic number fields whose Galois closure has Galois group $D_5$ and whose discriminant is bounded by $X$. By a conjecture of Malle, we expect that $N(5,D_...
Recent Progress on Singularities of Lagrangian Mean Curvature Flow
Recent Progress Singularities of Lagrangian Mean Curvature Flow
2011/1/20
We survey some of the state of the art regarding singu-larities in Lagrangian mean curvature
ow. Some open problems are suggested at the end.
An algorithm for the calculation of progress or regress via TOPSIS and Malmquist productivity index
Topsis, Positive ideal solution Nagative ideal solution
2010/9/17
In this paper, the TOPSIS method is used for two times t and t + 1. In order to calculate the progress or regress via Malmquist index, the positive and negative ideal and negative ideals at time t and...
In this short survey paper, we discuss certain recent results in classical gravity. Our main attention is restricted to two topics: the positive mass conjecture and its extensions to the case with ho...