Singularities of mean curvature flow In Memory of Professor Zhengguo Bai(1916-2015)

来源 :中国科学:数学(英文版) | 被引量 : 0次 | 上传用户:hongxing35
下载到本地 , 更方便阅读
声明 : 本文档内容版权归属内容提供方 , 如果您对本文有版权争议 , 可与客服联系进行内容授权或下架
论文部分内容阅读
Mean curvature flow and its singularities have been paid attention extensively in recent years.The present article reviews briefly their certain aspects in the author\'s interests.
其他文献
We study the number of edges in the inhomogeneous random graph when vertex weights have an infinite mean and show that the number of edges is O(n log n).Central limit theorems for the number of edges are also established.
In this article,we focus on the left translation actions on noncommutative compact connected Lie groups with topological dimension 3 or 4,consisting of SU(2),U(2),SO(3),SO(3) × S1 and Spine(3).We define the rotation vectors (numbers) of the left actions i
Braverman and Kazhdan (2000) introduced influential conjectures aimed at generalizing the Fourier transform and the Poisson summation formula.Their conjectures should imply that quite general Langlands L-functions have meromorphic continuations and functi
继2014年嫦娥五号飞行试验器成功完成月地返回跳跃式再入试验任务后,于2020年末,嫦娥五号探测器又一次圆满完成了月球采样跳跃式再入返回,在两次任务中GNC系统均表现稳定并取得了极高的控制精度,这充分证明了GNC系统方案设计的成功和有效.本文针对月地返回高速跳跃式再入任务本身对制导、导航与控制提出的挑战进行了分析,同时对GNC分系统方案采取的一系列设计进行了介绍;其中包括一种自适应双环制导体制、导
稀疏匹配,作为能有效处理含有离群点、噪声等干扰因素的点云匹配方法,成为了近年来较为实用的匹配算法.本文通过对稀疏ICP(点对点)与稀疏TDM(点对面)求解流程的分析以及对特征不明显点云的匹配实验,发现稀疏ICP易陷入局部最优、稀疏TDM易在切平面发生滑移等问题.为了克服稀疏ICP与稀疏TDM算法的局限性,本文提出了稀疏混合ICP算法(稀疏Mixed-ICP).在匹配过程中,通过Sigmoid权值函
The central limit theorem of martingales is the fundamental tool for studying the convergence of stochastic processes,especially stochastic integrals and differential equations.In this paper,the central limit theorem and the functional central limit theor
In this paper,we study the vortex patch problem in an ideal fluid in a planar bounded domain.By solving a certain minimization problem and studying the limiting behavior of the minimizer,we prove that for any harmonic function q corresponding to a nontriv
Let G be a connected reductive group defined over Fq,the finite field with q elements.Let B be a Borel subgroup defined over Fq.In this paper,we completely determine the composition factors of the induced module M(tr) =kG (⊕)kB tr (where tr is the trivial
In this paper we report some explicit evolutionary PDEs of the Drinfeld-Sokolov hierarchy of type E(1)6,and show how the unknown functions in these PDEs are related to the tau function.Moreover,for this hierarchy we compute its topological solution of for
This paper investigates superconvergence properties of the local discontinuous Galerkin methods with generalized alternating fluxes for one-dimensional linear convection-diffusion equations.By the technique of constructing some special correction function