搜索结果: 61-75 共查到“偏微分方程”相关记录1914条 . 查询时间(0.92 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Deep learning of multi-scale PDEs based on data generated from particle methods
粒子方法 数据 多尺度 偏微分方程 深度学习
2023/4/26
Solving multi-scale PDEs is difficult in high-dimensional and/or convection-dominant cases. The interacting particle methods (IPM) are shown to outperform solving PDEs directly. Examples include compu...
T-2环面上随机不可压缩欧拉方程的一个分裂半隐欧拉方法
T-2环面 随机不可压缩 欧拉方程 分裂半隐欧拉方法
2023/1/4
The main difficulty in studying numerical method for stochastic evolution equations (SEEs) lies in the treatment of the time discretization (J. Printems. [ESAIM Math. Model. Numer. Anal. (2001)]). Alt...
This paper is concerned with the asymptotic stability of a composite wave of two viscous shocks under spatially periodic perturbations for the 1-d full compressible Navier--Stokes equations. It is pro...
非线性轴向运动梁的边界稳定性判据
非线性 轴向运动梁 边界稳定性 判据
2023/1/4
This paper deals with, in the framework of absolute stability, boundary stabilization for a nonlinear axially moving beam under boundary velocity feedback controls. The nonlinear boundary control that...
具有完全未知的外系统的热方程的输出跟踪
完全未知 外系统 热方程 输出跟踪
2023/1/4
In this paper, we consider output regulation for a 1-d heat equation where the disturbances generated from an unknown finite-dimensional exosystem enter all possible channels. We adopt adaptive observ...
可压缩欧拉方程大初值球对称具有正远场密度整体解的存在性
可压缩 欧拉方程 大初值球对称 正远场密度整体解
2023/1/4
We are concerned with the global existence theory for spherically symmetric solutions of the multidimensional compressible Euler equations with large initial data of positive far-field density so that...
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。
倒向随机微分方程Sinc-θ数值格式
随机微分方程 Sinc-θ 数值格式
2023/1/5
In this paper, we propose a new family of fully discrete Sinc-$\theta$ schemes for solving backward stochastic differential equations (BSDEs). More precisely, we consider the $\theta$-schemes for the ...
具有完全未知的外系统的热方程的输出跟踪（郭宝珠）
外系统 热方程 输出跟踪 完全未知
2023/2/22
In this paper, we consider output regulation for a 1-d heat equation where the disturbances generated from an unknown finite-dimensional exosystem enter all possible channels. We adopt adaptive observ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Regularity of sub-elliptic harmonic map into non-positively curved metric space
亚椭圆谐波 非正曲线 度量空间 规律性
2023/4/28
We prove the Holder continuity of a harmonic map from a domain of a sub-Riemannian manifold into a locally compact manifold with non-positive curvature, and more generally into a non-positively curved...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Nontrivial solutions for a quasilinear elliptic system with weight functions
权重函数 准线性 椭圆系统 非平凡解
2023/4/28
In this talk, we consider nontrivial solutions of a quasilinear elliptic system with the weight functions h(x) and f_i (x) (i = 1, 2) by applying the Nehari manifold method along with the fibrering ma...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：与Lamé函数相关的tau函数与顶点算子: KP及其约化
Lamé函数 tau函数 顶点算子 KP约化
2023/5/5
Lamé函数可以视为当势函数取Weierstrass的p函数时Schr?dinger谱问题的解。KdV/KP型的可积系统存在以Lamé函数为平面波因子的精确解。 该报告将介绍KP方程的相关结果、周期退化、色散关系约化、公开问题、等等。
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：与Lamé函数相关的tau函数与顶点算子: KdV
Lamé函数 tau函数 顶点算子 KdV
2023/5/5
Lamé函数可以视为当势函数取Weierstrass的p函数时Schr?dinger谱问题的解。KdV/KP型的可积系统存在以Lamé函数为平面波因子的精确解。报告将以KdV方程为例，介绍基于Lamé函数的双线性方法框架，包括：椭圆色散关系、双线性方程的拟规范性质、tau函数、顶点算子的椭圆形变、双线性等式。
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Carleman estimates for some stochastic partial differential equations and applications
随机 偏微分方程 卡勒曼估计
2023/5/5
This talk is concerned with the controllability, observability and inverse problems for two types of stochastic partial differential equations, which are degenerate/singular stochastic parabolic equat...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：偏微分方程约束控制与优化：进展与挑战
偏微分方程 约束控制 优化
2023/5/5
以流体边界控制问题和形状优化为例，介绍本人在偏微分方程约束控制与优化领域的一些最新研究进展，并讨论本领域内的一些挑战性问题。