搜索结果: 1-11 共查到“非线性偏微分方程 Mathematics”相关记录11条 . 查询时间(0.14 秒)
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...
近日，我校数学与统计学院赖柏顺教授与北京应用物理与计算数学研究所苗长兴研究员、北京航空航天大学郑孝信博士在Navier-Stokes方程研究方面取得新的进展，其合作完成的论文 “The forward self-similar solutions of the fractional Navier-Stokes Equations”在国际著名数学期刊《Advances in Mathematics》...
Associate Professor Alexander Vladimirsky,Department of Mathematics at Cornell University（图）
Department of Mathematics at Cornell University Associate Professor nonlinear PDEs
2015/9/11
Alexander Vladimirsky,Associate Professor,Department of Mathematics at Cornell University.He is Research Area:Numerical methods,dynamical systems,nonlinear PDEs, control theory.Selected Publications:F...