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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Global strong solutions to the two-dimensional radially symmetric compressible MHD
二维径向对称 可压缩 磁流体动力学 全局强解
2023/12/11
In this talk, I will present our recent result the 2D radially symmetric compressible MHD with density-dependent viscosity. Under the condition of beta>1, we prove the global existence of the radially...
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
2023/5/6
Nematic liquid crystals (NLCs) are anisotropic material intermediate that combines the fluidity of liquids with the orientational order of solids. NLCs are best known for their applications in the thr...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Energy stability and error analysis of a maximum bound principle preserving scheme for the dynamical Ginzburg-Landau equations of Superconductivity
超导动力学 金茨堡-朗道方程 最大界界原理 能量稳定性 误差分析
2023/4/25
We focus on numerical study of the dynamical Ginzburg-Landau equations under the temporal gauge, and propose a decoupled numerical scheme based on the finite element method. For the variable A, the se...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Computation of phononic crystals using the PG finite element method
PG有限元法 计算 声子晶体
2023/4/17
Phononic crystals are composite materials with periodic distribution of two or more media. The difficulty of computing the band structure of the phononic crystals lies in capturing the complex geometr...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Fast Magnetic Resonance Imaging and Inverse Problems
快速 磁共振成像 逆问题
2023/4/17
磁共振成像是目前医学成像技术中功能最强大，技术门槛最复杂的技术之一。然而，相对其他成像模态较为缓慢的采集速度（较长的扫描时间）制约了磁共振成像在临床上的广泛应用。借助采样样本的数量与扫描时间的正比关系，通过减少采集的数据量（稀疏采样）来缩短磁共振采集时间是磁共振成像领域的重要途径，而从高度欠采样的数据中重建出高质量的图像可以近似为一个病态反问题，对这一问题的求解是快速磁共振成像领域的研究热点。本次...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Peak distributions and peak maps in lattice paths
晶格路径 峰分布 峰图
2023/4/13
Dyck paths are classical Catalan objects. The peak distribution of Dyck paths is an important topic of combinatorics, and further the representation of symmetric groups.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Bloch's conjecture for symplectic autoequivalences on K3 surfaces
布洛赫 K3曲面 辛自等价
2023/4/13
Bloch's conjecture for a surface X over an algebraically closed field k states that every homologically trivial correspondence acts as 0 on the Albanese kernel. When X is a K3 surface, this conjecture...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Rational solutions of KP and BKP hierarchies through Toda lattice
户田晶格 KP BKP 层次结构 合理解
2023/4/27
The full Kostant-Toda lattice defined on simple Lie algebras can be viewed as finite version of KP type hierarchies. In this talk I will show you how to explicitly construct (all) rational solutions o...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：磁铁的相变与Ising模型
磁铁 相变 Ising模型
2023/5/5
1895年，居里先生做实验发现，磁铁的磁性随着温度升高会有相变产生。1920年，Lenz提出Ising模型，用来模拟磁铁、解释相变现象。在过去的100年，Ising 模型一直是数学物理界的核心模型。这次的科普报告将简述Ising模型的发展历史以及近20年来在平面Ising模型领域研究的重大突破。