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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Maximal $L^1$-regularity and application to a free boundary problem of Navier-Stokes equations near half-space in critical space (I)
临界空间 近半空间 纳维-斯托克斯方程 最大$L^1$-正则性 自由边界问题
2023/4/17
In this talk, time-dependent free surface problem for the incompressible Navier-Stokes equations which describes the motion of viscous incompressible fluid nearly half-space are considered. We will di...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Boltzmann方程的适定性和流体动力学极限
Boltzmann方程 适定性 流体动力学 极限
2023/4/17
Boltzmann 方程是统计力学中的基本方程，被用来描述稀疏气体的运动，其解的整体适定性和大时间渐近行为是偏微分方程领域的重要问题。另一方面，Hilbert 于1912 年提出了Boltzmann 方程的Hilbert 展开，从形式上说明了Boltzmann 方程的一阶近似是可压缩Euler 方程。此后，从数学上严格证明Boltzmann 方程到可压Euler 方程的流体动力学极限一直是很多数学...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：不可压缩理想磁流体方程的自由边界问题
不可压缩 理想磁流体方程 自由边界问题
2023/4/17
针对不可压缩理想磁流体方程自由边界问题的适定性，对有界初始区域的情形做较详细的阐述，并对相关的背景、研究进展和存在的问题作简要的介绍。
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Qualitative study of two types of kinetic equations
动力学方程 定性研究 弗拉索夫方程
2023/4/18
In recent years, the study of kinetic equations has attracted much attention because it involves many important scientific phenomena and fields of science, such as nuclear reactor diffusion phenomena,...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Graph Refinement via Simultaneously Low-rank and Sparse Approximation
低秩 稀疏近似 图细化
2023/4/18
Graphs play an important role in many fields of machine learning such as clustering. Many graph-based machine learning approaches assume that the graphs have hidden group structures. However, the grou...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Global existence and decay of solutions to compressible Prandtl system with small analytic data
少量分析数据 可压缩 Prandtl系统解 全局存在 衰减
2023/4/18
In this talk, we shall prove the global existence and the large time decay estimate of solutions to compressible Prandtl system with small initial data, which is analytical in the tangential variable....
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Solution Landscapes of Nematic Liquid Crystal Systems
向列液晶系统 解决方案 各向异性材料
2023/4/18
Nematic liquid crystals (NLCs) are anisotropic material intermediate that combine the fluidity of liquids with the orientational order of solids. NLCs are best known for their applications in the thri...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Optimal decay rates on compressible Navier-Stokes equations with degenerate viscosity and vacuum
简并粘度 真空 可压缩 NS方程 最佳衰减率
2023/4/18
In this talk, we consider the large time behavior of the weak solution to the free boundary problem for one-dimensional isentropic compressible Navier-Stokes equations with degenerate viscosity and va...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Lyapunov stable classes for Singular Flows
奇异流 李雅普诺夫 稳定类
2023/4/18
In this talk, I will show that (nontrivial) Lyapunov stable classes of vector fields far from homoclinic tangencies contain periodic orbits. This gives a partial answer for the Palis Weak Density Conj...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Energy estimates for the two-dimensional acoustical rarefaction waves
二维声稀波 能量估计 无旋
2023/4/18
We study the two-dimensional acoustical rarefaction waves under the irrotational assumptions. We provide a new energy estimates without loss of derivatives. We also give a detailed geometric descripti...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：From Quantum Particles to Compressible Inviscid Fluid
量子粒子 可压缩 无粘性流体
2023/4/18
We derive the classical compressible Euler equation as the limit of 3D quantum N-particle dynamics as N tends to infinity and Planck's constant tends to zero. We establish strong and quantitative conv...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Ageing Society in Developed Countries Challenges Carbon Mitigation
发达国家 老龄化社会 碳减排
2023/4/18
Populations in developed countries are ageing. However, the impact of senior citizens' consumption on global carbon mitigation is poorly understood. Here we find that senior citizens have played a lea...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：重载列车分布式异步协同制动控制技术
重载列车 分布式异步协同 制动控制技术
2023/4/19
ECP重载列车分散式制动控制主要研究具有电气制动系统（ECP）的长大货运列车在制动过程中如何减小纵向冲动的控制问题。由于重载列车车厢之间存在车钩力，整个列车动态模型存在耦合作用，导致分布式控制器设计难以实现。目前大多方法还集中在列车整体设计方案的研究中。而分布式异步制动设计是我们研究的动力和目标。分布式异步设计将会对列车制动控制带来巨大改变，优势极为明显，如：减少计算量和计算速度，降低信号带宽，可...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Impacts of trade conflicts on the energy sector
贸易冲突 能源部门 影响 能源
2023/4/19
We use a multi-country input-output model to simulate the impacts of China-U.S. trade conflict on the energy sector. Our empirical results indicate that both China and the U.S. suffer from the conflic...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Artificial intelligence and the pattern of skill demand
人工智能 技能需求模式 低技能劳动力 高技能劳动力
2023/4/19
In view of the recent penetration of artificial intelligence (AI) into production activities, we undertake a quasi-natural experiment to identify its impact on employment at different skill levels usi...