分析和微分方程讨论班

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分析和微分方程讨论班

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19

2025-05

分析和微分方程讨论班——Restriction Problems in the Study of Eigenfunctions

报告人：高传伟（首都师范大学）时间：2025年5月21日，10:30-12:00地点：海纳苑2幢202室摘要：In this talk, we will begin with a brief overview of the restriction problem and its related topics, including the Kakeya problem, decoupling theory, and associated methods and techniques. We will then discuss how these problems connect to the study of eigenfunctions.联系人：席亚昆（yakunxi@zju.edu.cn）

16

2025-04

分析和微分方程讨论班——ON THE REGULARITY OF THE SOLUTION OF SOME NONLINEAR PROBLEMS

报告人：Michel Marie Chipot（瑞士苏黎世大学）时间：2025年4月16日，11:00-12:00地点：海纳苑2幢106摘要：The goal of this talk is to present regularity results regarding problems of the type −∆u + β(u − ϕ) = 0 in Ω, u = 0 on ∂Ω which depend only on ϕ and not on the monotone function β. This uses nice techniques developed by H. Brezis and collaborators. (Joint work with David Kinderlehrer)报告人简介...

25

2025-03

分析和微分方程讨论班——Triangles and triple products of Laplace eigenfunctions

报告人：Emmett Wyman（纽约宾汉普顿大学）时间：2025年3月26日，09:30地点：ZOOM（923 5610 7458，密码：160721）摘要：At what frequencies does the product of two Laplace-Beltrami eigenfunctions on a manifold concentrate? Equivalently, given three eigenfunctions, how large is the integral of their product over the manifold? In this talk, we provide a relatively complete answer to this question, and in t...

16

2024-12

分析和微分方程讨论班——Singular scaling limits from kinetic to macroscopic models: self-organization system vs Boltzmann

报告人：江宁（武汉大学）时间：2024年12月6日（周五）14:30-15:30地点：海纳苑2幢101摘要：In this talk, we introduces two types of singular scaling limits: self-organization kinetic (SOK) and its limit to self-organization hydrodynamics (SOH), and the more traditional Boltzmann equation and its fluid limits. We will review what are singular scaling limits are, the similarities and differences between ...

20

2024-09

分析与偏微分方程讨论班——Quasiperiodic Systems: Algorithms, Analysis and Applications

报告人：蒋凯（教授，湘潭大学）时间：2024年9月20日上午10:00-11:00地点：海纳苑2幢205室摘要：Quasiperiodic systems, related to irrational numbers, are important space-filling structures without decay nor translational invariance. How to numerically compute these incommensurate systems poses challenges. In this talk, we will present some accurate and efficient methods for quasiperiodic systems based o...

28

2024-08

分析与偏微分方程讨论班——Steady Contiguous Vortex-Patch Dipole Solutions of the 2D Incompressible Euler Equation

报告人：童嘉骏（北京大学）时间：2024年8月28日，15:00-16:00地点：海纳苑2幢205室摘要：It is of great mathematical and physical interest to study traveling wave solutions to the 2D incompressible Euler equation in the form of a touching pair of symmetric vortex patches with opposite signs. Such a solution was numerically illustrated by Sadovskii in 1971, but its rigorous existence was left as an open...

10

2024-08

分析和微分方程讨论班——Stability of shear flows in viscous fluids

报告人：赵威任（纽约大学阿布扎比分校）时间：8月16日，10:00-11:00地点：海纳苑2幢205摘要：In this presentation, I will discuss the latest advancements in understanding the asymptotic stability and instability of shear flow in viscous fluids. The primary mechanisms contributing to the system's stability are inviscid damping and enhanced dissipation. I will also explore the mathematical frameworks...

03

2024-06

分析和微分方程讨论班——The dichotomy of Nikodym sets and local smoothing estimates for wave equations

报告人：陈铭峰（威斯康星麦迪逊分校）时间：2024年6月12日，16:10-17:10地点：海纳苑2幢202摘要：In this talk, I will talk about maximal operator in the plane. After reviewing some classical results of Bourgain circular maximal theorem and Sogge’s cinematic curvature, I will focus on our result. We classify planar maximal functions: We find all the curves such that Nikodym sets exist, thus the maximal...

27

2024-05

分析和微分方程讨论班——A Hormander-type oscillatory integral operator estimate: a bound beyond Stein-Tomas

报告人：甘盛文（助理教授，威斯康辛大学麦迪逊分校）时间：2024年6月12日，14:00-16:00地点：海纳苑2幢202摘要：In this talk, I will introduce the Hormander-type oscillatory integral operator. A classical result of Hormander and Stein gives the (L^\infty, L^p) estimate when p=2(n+1)/(n-1). By adding some additional condition, we prove a (L^\infty, L^q) estimate for some q<2(n+1)/(n-1).联系人：席亚昆...

14

2024-05

分析和微分方程讨论班——关联几何以及它在调和分析中的应用

报告人：曹桢斌（河南省科学院）时间：2024年5月15日，9:30-10:30地点：海纳苑2幢1120摘要：关联几何是一门研究点线，点圆，点和一般曲线的关联关系的学科。这门学科的方法和相关理论在许多方向，诸如调和分析，几何测度论，加性组合里的相关问题研究有重要应用。在这个报告中，我将会介绍关联几何的主要猜想，主要定理，以及主要方法，并介绍它们和调和分析里相关问题的联系。联系人：王梦 (mathdreamcn@zju.edu.cn)

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