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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The Development of Science: Past and Present What about the future? A publisher’s point of view
出版史 传播 人工智能
2023/12/11
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The Development of Science: Past and Present What about the future? A publisher’s point of view.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Global large strong solutions to the 2D radially symmetric compressible Navier-Stokes equations on bounded domain
有界域 二维径向对称 可压缩Navier-Stokes方程 全局大强解
2023/12/11
In this talk, I will present our recent result the 2D radially symmetric compressible Navier-Stokes equations with density-dependent viscosity. Under the condition of beta>1, we prove the global exist...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Well-balanced positivity-preserving high-order discontinuous Galerkin methods for Euler equations with gravitation
引力 欧拉方程 高阶间断 Galerkin方法
2023/11/29
We develop high order discontinuous Galerkin (DG) methods with Lax-Friedrich fluxes for Euler equations under gravitational fields. Such problems may yield steady-state solutions and the density and p...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Distributed sparse identification theory and method
分布式 稀疏识别 理论方法
2023/11/29
In this talk, we will consider the distributed sparse identification problem over wireless sensor networks such that all sensors cooperatively estimate the unknown sparse parameter vector of stochasti...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：基于阻塞效应的可变刚度结构和材料在软体机器人领域中的应用
阻塞效应 可变刚度结构 材料 软体机器人
2023/11/29
软体机器人是智能机器人领域中的新兴方向，以其可大范围变形、可变材料性质的物理特征和复杂环境适应性强、人机交互安全性高的应用优势而受到广泛关注。基于阻塞效应（jamming transition）的可变刚度性质是软体机器人独有的全新属性，从材料上赋予了机器人“刚柔并济”的能力，不仅能增强机器人适应不同工件或者周围环境的能力，还可应用于人机交互的机器人以提高安全性。和其他软体机器人可变刚度基于阻塞效应...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On vacuum static spaces
真空 静态空间 闭真空
2023/11/29
In this talk, we will discuss vacuum static spaces. We firstly introduce the motivation, recent development and some difficult problems that have yet to be solved on vacuum static spaces. Then we pres...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Compressible fluid limit for the Landau equation
Landau方程 可压缩 流体极限
2023/11/29
We are concerned with the compressible Euler limit for smooth solutions to the Landau equation with Coulomb potentials in the whole space. Specifically, over any finite time interval where the full co...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Lower Bounds and Accelerated Algorithms in Distributed Stochastic Optimization with Communication Compression
通信压缩 分布式 随机优化 下界 加速算法
2023/11/29
Communication compression is an essential strategy for alleviating communication overhead by reducing the volume of information exchanged between computing nodes in large-scale distributed stochastic ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Geometric regularity criteria and inviscid limit of incompressible Navier--Stokes Equations under Navier boundary condition
Navier边界条件 不可压缩 Navier-Stokes方程 几何正则性准则 无粘极限
2023/11/29
We report our recent works on the analysis of 3D incompressible Navier--Stokes Equations subject to the Navier slip boundary condition, i.e., tangential components of the stress exerted by the normal ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Signature-based standard basis algorithm under the framework of GVW algorithm
GVW算法框架 基于签名 标准基算法
2023/11/29
The Grobner basis for a zero-dimensional polynomial ideal comprises a univariate polynomial in the least variable. The elimination process in Buchberger's algorithm unnecessarily involves the least va...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Some new algorithm developments on highly stiff stable schemes and on a SAV based approach for optimization problems
高刚性稳定方案 基于SAV 优化方法 新算法发展
2023/11/29
In the first part, I shall present a new way to construct highly stiff stable schemes. Traditional time discretization schemes are usually based on Taylor expansions at $t_{n+\beta}$ with $\beta\in [0...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On the construction of solutions to some inviscid free boundary problems
无粘 自由边界 解构造
2023/11/15
We will present our recent results on the local well-posedness of free boundary problems for some inviscid fluids. In particular, for each problem the solution is constructed as the vanishing viscosit...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars： On the construction of solutions to some inviscid free boundary problems
无粘 自由边界 问题解 构造
2023/12/11
We will present our recent results on the local well-posedness of free boundary problems for some inviscid fluids. In particular, for each problem the solution is constructed as the vanishing viscosit...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Blowup of smooth solutions for compressible Navier-Stokes equations
可压缩 Navier-Stokes方程 光滑解 爆破
2023/11/15
In this talk，we discuss the finite time blow up phenomena of smooth solutions to the compressible Navier-Stokes system when the initial data contain vacuums. It is proved that any classical solutions ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Steady Subsonic flows in High Dimensional Nozzle
高维喷管 稳态 亚音速流动
2023/11/15
In this talk, we present our result on subsonic irrotational flows in a multi-dimensional (n>1) infinitely long nozzle with variable cross sections. The flow is described by the inviscid potential equ...