搜索结果: 121-135 共查到“理学 mathematics”相关记录1141条 . 查询时间(0.091 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Singular integral and geometry
奇异积分 几何 谐波分析
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2023/5/8
The geometric considerations enter in a decisive way in many questions of harmonic analysis. For example, the estimation of the Fourier transform of surface-carried measure, which played a key role in...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Numerical PDEs for Fluid-Structure Interaction (FSI) Problems
流固耦合 数值 偏微分方程
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2023/5/8
The interaction of a flexible structure with a flowing fluid in which it is submersed or by which it is surrounded gives rise to a rich variety of physical phenomena with applications in many fields o...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：两水平非正规因子设计的构造
两水平 非正规因子 设计 构造
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2023/5/6
因子设计可分为正规设计和非正规设计，其中正规设计结构简单，试验次数被限制在2的幂次上。非正规设计结构复杂，但具有较为灵活的试验次数，并可用于估计更多的因子效应。作为一类特殊的非正规设计，平行平面设计受到了越来越多的关注。正规设计也被称为单平面设计，由来自同一家族的几个单平面行并置得到的设计被称为平行平面设计。由三个平行平面构成的平行平面设计是最常用的非正规设计。将其推广到具有f个平面的平行平面设计...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Stability conditions and quadratic differentials
稳定性条件 二次微分 三角分类
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2023/5/6
Stability conditions on triangulated categories are introduced by Bridgeland. For 3-Calabi-Yau triangulated categories from quivers with potentials, the space of stability conditions on this triangula...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Projective measure without Projective Baire
投射贝尔 投射测量 勒贝格可测
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2023/5/6
In this talk, I will give some of the context and a sketch of the proof of the following result which I proved a while ago: It is consistent (relative to a Mahlo catrdinal) that there is a projective ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：斜坡上浅水波的研究进展
斜坡 上浅水波 泄洪渠
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2023/5/6
在倾斜的泄洪渠上，水流往往不是等高的层流，会形成周期滚动激波，简称滚波。由于滚波的水深不是常值，其激波处的水深必定比相同泄洪量层流大。为了避免洪水外溢导致的非必要经济损失，滚波强度与泄洪渠坡度、截面形状、渠宽等变量之间的关系是水利工程学研究的主要问题之一。数学上，假设流体垂直尺度远小于水平尺度，对三维自由表面无旋不可压Navier-Stokes 方程做垂直方向的积分，我们得到Saint-Venan...
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
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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：托卡马克等离子体破裂不稳定性及快电子行为
托卡马克 等离子体破裂 不稳定性 快电子行为
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2023/5/6
托卡马克聚变等离子体遭受破裂风险，破裂产生的热流和电磁力及逃逸电子威胁装置安全。破裂不稳定性是一种多场复杂物理问题，当前认为破裂起因于一种快物理过程，通常称之为热湮灭（thermal quench），随后发生等离子体电流猝灭（current quench），破裂过程中产生快电子，最终形成逃逸电子束。本报告将主要探讨等离子体破裂机理及快电子动力学问题，促进实验发现与数学表述有机结合，深入理解破裂物理...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Uncertainty from the Perspective of Resource
资源视角 不确定性 量子力学 不确定性
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2023/5/6
The uncertainty is a historic topic in quantum mechanics. In this talk, we view the uncertainty as the intrinsic property of quantum states and study it from the perspective of resource.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The Minkowski problem in Gaussian probability space
高斯概率空间 闵可夫斯基问题 广义相对论
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2023/5/6
The classical Minkowski problem, which asks for the characterization of surface area measure in Euclidean space with Lebesgue measure, largely motivated the development of elliptic PDEs throughout the...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Extensions of Projection Theorem in Banach Spaces
投影定理 巴拿赫空间 扩展
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2023/5/4
In this talk, we first recall classic projection theorem for closed convex subsets in a Hilbert space. Then we introduce two extensions of the projection theorem in the Banach space where one is estab...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：An Inexact Projected Subgradient Method on Hadamard manifolds
哈达玛流形 不精确投影 亚梯度方法
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2023/5/4
In this talk, we extend a recently established subgradient method for the computation of Riemannian metrics that optimizes certain singular value functions associated with dynamical systems. This exte...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On strongly quasiconvex functions: existence results and proximal point algorithms
强准孔函数 存在结果 近端点算法
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2023/5/4
The class of strongly quasiconvex functions was introduced in the famous paper of B.T. Polyak in 1966. It is the natural extension of the class of strongly convex functions, its applications emcompass...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On the transcendental Morse inequality
先验 莫尔斯不等式 射影流形 可动锥 对偶性
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2023/5/4
We report the work “Duality between the pseudoeffective and the movable cone of a projective manifold” of Witt Nystrom, where he proved the transcendental Morse inequality for projective manifolds.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Fields with a generic multiplicative endomorphism
通用乘法 自同态 域
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2023/5/4
The theory of fields expanded by a unary function symbol for a multiplicative endomorphism admits a model-companion, we denote it ACFH. It is a new example of an NSOP1 theory which is not simple. I wi...