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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.
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.
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...
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...
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...
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...
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...
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。
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...
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...
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...
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...
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...

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