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The Cauchy Problem for the Sixth Order $p$-Generalized Benney-Luke Equation 六阶 p$ 广义本尼-卢克方程的考希问题
IF 0.8 4区 数学
Journal of Mathematical Study Pub Date : 2024-06-01 DOI: 10.4208/jms.v57n2.24.01
Xiao Su, Xiao Li null, Shubin Wang
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引用次数: 0
Blow-Up of Solutions to Boundary Value Problems of Coupled Wave Equations with Damping Terms on Exterior Domain 带有外域阻尼项的耦合波方程边值问题解的炸开
IF 0.8 4区 数学
Journal of Mathematical Study Pub Date : 2024-06-01 DOI: 10.4208/jms.v57n2.24.05
Sen Ming, Jiayi Du, Jin Xie null, Xiao Wu
{"title":"Blow-Up of Solutions to Boundary Value Problems of Coupled Wave Equations with Damping Terms on Exterior Domain","authors":"Sen Ming, Jiayi Du, Jin Xie null, Xiao Wu","doi":"10.4208/jms.v57n2.24.05","DOIUrl":"https://doi.org/10.4208/jms.v57n2.24.05","url":null,"abstract":"","PeriodicalId":43526,"journal":{"name":"Journal of Mathematical Study","volume":"134 11","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141281573","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Boundedness Below of $2×2$ Upper Triangular Linear Relation Matrices 2×2$ 上三角线性关系矩阵的有界性下限
IF 0.8 4区 数学
Journal of Mathematical Study Pub Date : 2024-06-01 DOI: 10.4208/jms.v57n1.24.04
Ran Huo, Yanyan Du null, Junjie Huang
{"title":"The Boundedness Below of $2×2$ Upper Triangular Linear Relation Matrices","authors":"Ran Huo, Yanyan Du null, Junjie Huang","doi":"10.4208/jms.v57n1.24.04","DOIUrl":"https://doi.org/10.4208/jms.v57n1.24.04","url":null,"abstract":"","PeriodicalId":43526,"journal":{"name":"Journal of Mathematical Study","volume":"3 11","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141229086","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Conformations and Currents Make the Nerve Signal 神经信号的构象和电流
IF 0.8 4区 数学
Journal of Mathematical Study Pub Date : 2024-06-01 DOI: 10.4208/jms.v57n1.24.03
Robert S. Eisenberg, Luigi Catacuzzeno null, Fabio Franciolini
{"title":"Conformations and Currents Make the Nerve Signal","authors":"Robert S. Eisenberg, Luigi Catacuzzeno null, Fabio Franciolini","doi":"10.4208/jms.v57n1.24.03","DOIUrl":"https://doi.org/10.4208/jms.v57n1.24.03","url":null,"abstract":". Conformation changes control the function of many proteins and thus much of biology. But it is not always clear what conformation means: is it the distribution of mass? Is it the distribution of permanent charge, like that on acid and base side chains? Is it the distribution of dielectric polarization? Here we point out that one of the most important conformation changes in biology can be directly measured and the meaning of conformation is explored in simulations and theory. The conformation change that underlies the main signal of the nervous system produces a displacement current— NOT an ionic current—that has been measured. Macroscopic measurements of atomic scale currents are possible because total current (including displacement current) is everywhere exactly the same in a one dimensional series system like a voltage clamped nerve membrane, as implied by the mathematical properties of the Maxwell Ampere law and the Kirchhoff law it implies. We use multiscale models to show how the change of a single side chain is enough to modulate dielectric polarization and change the speed of opening of voltage dependent channels. The idea of conformation change is thus made concrete by experimental measurements, theory, and simulations.","PeriodicalId":43526,"journal":{"name":"Journal of Mathematical Study","volume":"59 5","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141234751","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Nonlinear Mixed Lie Triple Derivations by Local Actions on Von Neumann Algebras 通过冯-诺依曼代数上的局部作用实现非线性混合列三衍生
IF 0.8 4区 数学
Journal of Mathematical Study Pub Date : 2024-06-01 DOI: 10.4208/jms.v57n2.24.04
Meilian Gao null, Xingpeng Zhao
{"title":"Nonlinear Mixed Lie Triple Derivations by Local Actions on Von Neumann Algebras","authors":"Meilian Gao null, Xingpeng Zhao","doi":"10.4208/jms.v57n2.24.04","DOIUrl":"https://doi.org/10.4208/jms.v57n2.24.04","url":null,"abstract":"","PeriodicalId":43526,"journal":{"name":"Journal of Mathematical Study","volume":"38 6","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141276407","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On Smooth Families of Diffeomorphic Manifolds and Their Distribution Function 论平滑的衍射流形族及其分布函数
IF 0.8 4区 数学
Journal of Mathematical Study Pub Date : 2024-06-01 DOI: 10.4208/jms.v57n2.24.07
Simone Calamai
{"title":"On Smooth Families of Diffeomorphic Manifolds and Their Distribution Function","authors":"Simone Calamai","doi":"10.4208/jms.v57n2.24.07","DOIUrl":"https://doi.org/10.4208/jms.v57n2.24.07","url":null,"abstract":"","PeriodicalId":43526,"journal":{"name":"Journal of Mathematical Study","volume":"49 20","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141280032","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Interaction of Ionic Solution with Permeable Membranes: a Variational Approach 离子溶液与渗透膜的相互作用：一种变量方法
IF 0.8 4区 数学
Journal of Mathematical Study Pub Date : 2024-06-01 DOI: 10.4208/jms.v57n1.24.02
Shi-qian Xu, Zilong Song, Robert Eisenberg null, Huaxiong Huang
{"title":"Interaction of Ionic Solution with Permeable Membranes: a Variational Approach","authors":"Shi-qian Xu, Zilong Song, Robert Eisenberg null, Huaxiong Huang","doi":"10.4208/jms.v57n1.24.02","DOIUrl":"https://doi.org/10.4208/jms.v57n1.24.02","url":null,"abstract":". The movement of ionic solutions is an essential part of biology and technology. Fluidics, from nano-to microfluidics, is a burgeoning area of technology which is all about the movement of ionic solutions, on various scales. Many cells, tissues, and organs of animals and plants depend on osmosis, as the movement of fluids is called in biology. Indeed, the movement of fluids through channel proteins (that have a hole down their middle) is fluidics on an atomic scale. Ionic fluids are complex fluids, with energy stored in many ways. Ionic fluid flow is driven by gradients of concentration, chemical and electrical potential, and hydrostatic pressure. In this paper, a series of sharp interface models are derived for ionic solution with permeable membranes. By using the energy variation method, the unknown flux and interface conditions are derived consistently. We start from the derivation the generic model for the general case","PeriodicalId":43526,"journal":{"name":"Journal of Mathematical Study","volume":"66 10","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141231482","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The 2D Boussinesq-Navier-Stokes Equations with Logarithmically Supercritical Dissipation 对数超临界耗散的二维布森斯克-纳维尔-斯托克斯方程
IF 0.8 4区 数学
Journal of Mathematical Study Pub Date : 2024-06-01 DOI: 10.4208/jms.v57n1.24.06
Durga Jang K.c., D. Regmi, Lizheng Tao null, Jiahong Wu
{"title":"The 2D Boussinesq-Navier-Stokes Equations with Logarithmically Supercritical Dissipation","authors":"Durga Jang K.c., D. Regmi, Lizheng Tao null, Jiahong Wu","doi":"10.4208/jms.v57n1.24.06","DOIUrl":"https://doi.org/10.4208/jms.v57n1.24.06","url":null,"abstract":"This paper studies the global well-posedness of the initial-value problem for the 2D Boussinesq-Navier-Stokes equations with dissipation given by an operator L that can be defined through both an integral kernel and a Fourier multiplier. When the symbol of L is represented by |ξ| a(|ξ|) with a satisfying lim|ξ|→∞ a(|ξ|) |ξ|σ = 0 for any σ > 0, we obtain the global well-posedness. A special consequence is the global well-posedness when the dissipation is logarithmically supercritical.","PeriodicalId":43526,"journal":{"name":"Journal of Mathematical Study","volume":"3 4","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141231974","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Formation of Singularity for Compressible Euler Equations Outside a Ball in 3-D 球外三维可压缩欧拉方程奇点的形成
IF 0.8 4区 数学
Journal of Mathematical Study Pub Date : 2024-06-01 DOI: 10.4208/jms.v57n2.24.06
Mengxuan Li null, Jinbo Geng
{"title":"Formation of Singularity for Compressible Euler Equations Outside a Ball in 3-D","authors":"Mengxuan Li null, Jinbo Geng","doi":"10.4208/jms.v57n2.24.06","DOIUrl":"https://doi.org/10.4208/jms.v57n2.24.06","url":null,"abstract":"","PeriodicalId":43526,"journal":{"name":"Journal of Mathematical Study","volume":"84 2","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141278434","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Boundedness and Compactness of Multilinear Singular Integrals on Morrey Spaces 莫雷空间上多线性奇异积分的有界性与紧凑性
IF 0.8 4区 数学
Journal of Mathematical Study Pub Date : 2024-06-01 DOI: 10.4208/jms.v57n2.24.03
Ting Mei null, Aobo Li
{"title":"Boundedness and Compactness of Multilinear Singular Integrals on Morrey Spaces","authors":"Ting Mei null, Aobo Li","doi":"10.4208/jms.v57n2.24.03","DOIUrl":"https://doi.org/10.4208/jms.v57n2.24.03","url":null,"abstract":"","PeriodicalId":43526,"journal":{"name":"Journal of Mathematical Study","volume":"60 5","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141274647","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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