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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars："Sobolev extensions"(7)&(8)
Sobolev扩展 Whitney扩展 技术变体
2023/11/29
I will give an introduction to Sobolev extensions, including the use of variants of the Whitney extension technique. I will concentrate on the basics of the theory.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars："Sobolev extensions"(5)&(6)
Sobolev扩展 Whitney扩展 技术变体
2023/11/29
I will give an introduction to Sobolev extensions, including the use of variants of the Whitney extension technique. I will concentrate on the basics of the theory.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：C1,1/3- very weak solutions to the two dimensional Monge–Ampère equation
二维 Monge–Ampère方程 C1,1/3极弱解
2023/11/29
For any θ<1/3 , we show that very weak solutions to the two-dimensional Monge–Ampère equation with regularity C1,θ are dense in the space of continuous functions. This result is shown by a convex inte...
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：Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data
平滑数据 二维布西内斯 三维欧拉方程 稳定近似 自相似爆炸
2023/4/13
Whether the 3D incompressible Euler equations can develop a finite-time singularity from smooth initial data is an outstanding open problem. In this talk, we will first review recent progress in singu...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Homogenization of a front propagation model in dynamic environments
动态环境 前端传播模型 均质化 一阶哈密尔顿-雅可比方程
2023/4/18
In this talk I will review the developments of homogenization theory for a front propagation model. It is described by a first order Hamilton-Jacobi equation with a Hamiltonian that grows linearly wit...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Stability conditions for a free boundary problem of 3-D compressible Euler equations coupled with a nonlinear Poisson equation
三维 可压缩欧拉方程 耦合 非线性泊松方程 自由边界问题 稳定性条件
2023/4/18
In this talk, I will discuss the stability conditions for a free boundary problem of compressible Euler equations coupled with a nonlinear Poisson equation of electric potential. Under those stability...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Monge-Ampère 方程Dirichlet和边界爆破问题解的研究
Monge-Ampère方程 Dirichlet 边界爆破问题解
2023/4/26
在这个报告中，我将介绍我们近些年在Monge-Ampère 方程 Dirichlet 和边界爆破问题解的研究方面所取得的最新成果。主要包括边界爆破解的存在性、全局估计、边界估计、边界渐近行为以及径向解的存在性、多解性。这些成果主要是和华北电力大学张学梅老师合作完成。
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Quantum algorithms for nonlinear partial differential equations
非线性 偏微分方程 量子算法
2023/5/16
Nonlinear partial differential equations (PDEs) are crucial to modelling important problems in science but they are computationally expensive and suffer from the curse of dimensionality. Since quantum...
由国家天元数学西北中心主办的2021年“非线性偏微分方程与几何分析研讨会”于2021年4月24日-25日成功举办。北京应用物理与计算数学研究所江松院士，香港中文大学辛周平教授，华中师范大学邓引斌教授，中国科学技术大学李嘉禹教授和麻希南教授，南京大学杨孝平教授，上海交通大学李从明教授，宁波大学屈长江教授和吉林大学王春朋教授等23位特邀嘉宾出席会议。研讨会采用线上会议的形式召开，由西安交通大学李东升教...
2020年10月29日至11月1日，由曲阜师范大学数学科学学院和宁波大学数学科学学院联合举办的非线性偏微分方程与几何分析研讨会在宁波顺利召开。研讨会邀请了来自北京大学、清华大学、中国科学技术大学、复旦大学、南京大学、上海交通大学、华东师范大学、浙江大学、西安交通大学、厦门大学、香港中文大学、陕西师范大学、宁波大学以及曲阜师范大学等国（境）内、外30多所高校的包括20多位长江学者、国家杰青在内88名...
三亚国际数学论坛：非线性偏微分方程及相关论题（Nonlinear Partial Differential Equations and Related Topics）
三亚国际数学论坛 非线性偏微分方程及相关论题
2018/1/11
Nonlinear Partial Differential Equations naturally appear in gas motions, fluid mechanics, differential geometry and many other fields, which cover compressible and incompressible Navier-Stokes equati...
2018非线性偏微分方程和几何分析研讨会（Geometric and Nonlinear Partial Differential Equations Conference）
2018 非线性偏微分方程和几何分析 研讨会
2017/12/20
This conference will demonstrate and strengthen connections between geometric analysis and nonlinear partial differential equations. We focus on new advances in several related themes, which include v...
三亚国际数学论坛：Nonlinear PDEs in Continuum Mechanics and Related Topics
三亚国际数学论坛 Nonlinear PDEs Continuum Mechanics
2017/11/24
Mathematical theory of continuum mechanics gives rise to important classes of nonlinear partial differential equations, such as the celebrated Euler and Navier-Stokes equations for both compressible a...
三亚国际数学论坛：Nonlinear Partial Differential Equations and Related Topics
三亚国际数学论坛 Nonlinear Partial Differential Equations
2017/11/24
Nonlinear Partial Differential Equations naturally appear in gas motions, fluid mechanics, differential geometry and many other fields, which cover compressible and incompressible Navier-Stokes equati...