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CAUCHY: 作品数：530被引量：438H指数：8; 导出分析报告; 相关领域：理学更多>>; 相关作者：魏悦广郑晓翠宋端郭永新刘畅更多>>; 相关机构：同济大学武汉大学中国科学院大学大连理工大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家高技术研究发展计划国家教育部博士点基金国家重点基础研究发展计划更多>>

Generic singularities for 2D pressureless flows: 《Science China Mathematics》2025年第3期559-576,共18页Alberto Bressan Geng Chen Shoujun Huang; supported by U.S.National Science Foundation(Grant No.DMS2006884)(singularities and error bounds for hyperbolic equations);supported by U.S.National Science Foundation(Grant Nos.DMS-2008504 and DMS-2306258);supported by Zhejiang Normal University(Grant Nos.YS304222929 and ZZ323205020522016004)。; In this paper,we consider the Cauchy problem for pressureless gases in two space dimensions with the generic smooth initial data(density and velocity).These equations give rise to singular curves,where the mass has a ...; 关键词：pressureless gases formation of singularities generic data Cauchy-Kovalevskaya theorem

Multi-Strategy Improved Secretary Bird Optimization Algorithm: 《Journal of Computer and Communications》2025年第1期90-107,共18页Fengkai Wang Bo Wang; This paper addresses the shortcomings of the Sparrow and Eagle Optimization Algorithm (SBOA) in terms of convergence accuracy, convergence speed, and susceptibility to local optima. To this end, an improved Sparrow an...; 关键词：Secretary Bird Optimization Algorithm Iterative Mapping Adaptive Weight Strategy Cauchy Variation Convergence Speed

一个高阶μ-Camassa-Holm方程Cauchy问题解的解析性: 《华中师范大学学报（自然科学版）》2024年第6期648-653,共6页高亚琴王海权; 国家自然科学基金项目(12401307);山西省基础研究计划项目(20210302124259).; 该文通过构造一族递减的Banach空间,利用抽象的Cauchy-Kowalevski定理研究了一个高阶μ-Camassa-Holm方程Cauchy问题解的解析性.所得到的结论可直接应用到μ-Camassa-Holm方程和Hunter-Saxton方程上.; 关键词：高阶μ-Camassa-Holm方程抽象的Cauchy-Kowalevski定理解析性

Research on adaptive coati optimization algorithm based on chaos and perturbation strategies: 《The Journal of China Universities of Posts and Telecommunications》2024年第6期44-56,共13页Wu Jin Gao Yaqiong Su Zhengdong Xiong Hao; supported by the National Key Research and Development (R&D) Program of China:Science and Technology Innovation 2030 (2022ZD0119000)。; The coati optimization algorithm(COA) is a bionic optimization algorithm that imitates natural phenomena and has good performance, but it suffers from the limitations of slow convergence and low accuracy of the optima...; 关键词：chaotic maps Levy flight Cauchy perturbation adaptive strategy

Means and equations of means: 《Frontiers of Mathematics in China》2024年第6期317-355,共39页Qian ZHANG; Over the past two decades,means and mean equations have been popular directions of research in the field of functional equations.This paper first introduces the definition and properties of mean as well as the develop...; 关键词：Mean EQUALITY INVARIANCE Cauchy mean Bajraktarevic mean

On the L^(2)(R)-Norm Decay Estimates for Two Cauchy Systems of Coupled Wave Equations Under Frictional Dampings: 《Communications on Applied Mathematics and Computation》2024年第4期2455-2474,共20页Aissa Guesmia; In this paper,we consider two Cauchy systems of coupled two wave equations in the whole line R under one or two frictional dampings,where the coupling terms are either of order one with respect to the time variable or...; 关键词：Coupled wave equations Frictional dampings Unbounded domain Asymptotic behavior L^(2)(ℝ)-norm decay Energy method Fourier analysis

Cauchy-Stieltjes Kernel Families and Free Multiplicative Convolution: 《Communications in Mathematics and Statistics》2024年第4期679-694,共16页Raouf Fakhfakh Abdelhamid Hassairi; supported by the Deanship of Scientific Research at Jouf University through research Grant No.(DSR-2021-03-03188).; In this paper,we determine the effect of the free multiplicative convolution on the pseudo-variance function of a Cauchy-Stieltjes kernel family.We then use the machinery of variance functions to establish some limit ...; 关键词：Variance function Cauchy kernel Free multiplicative convolution S-TRANSFORM

一类三元函数最值问题的别解、推广及其应用: 《数理化学习(高中版)》2024年第11期51-54,共4页吴家华; 对一类用待定系数法求最值的问题给出了别解,并对其作了一般形式的推广,得到几个一般性结论,再反过来运用这些结论对这类最值问题进行简便求解.; 关键词：三元函数最值别解推广柯西(Cauchy)不等式

Supnorm Estimates for ā on Product Domains in C^(n): 《Acta Mathematica Sinica,English Series》2024年第10期2307-2323,共17页Martino FASSINA Yi Fei PAN; the Mathematics Department at Purdue University Fort Wayne for the warm hospitality and financial support。; Using methods from complex analysis in one variable,we define an integral operator that solves ā with supnorm estimates on product domains in C^(n).; 关键词：Supnorm estimates product domains Cauchy Riemann equation

稀疏反褶积正则化策略优选:数学模型构建与性能评估: 《理论数学》2024年第10期261-272,共12页崔志伟; 在地震资料反演中,反褶积是一种重要的压缩地震子波、提高薄层纵向分辨率的地震数据处理方法。由于地层为层状结构,反射系数可视作稀疏的脉冲序列,因此地震反褶积可以描述为稀疏求解问题。然而,反褶积问题通常是病态的,需要引入正则化...; 关键词：地震反演稀疏性正则化因子 Cauchy正则化 L1/2正则化反射系数

CAUCHY