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Long term spatial homogeneity for a chemotaxis model with local sensing and consumption 具有局部感知和消耗的趋化性模型的长期空间同质性
IF 1 4区 数学
Communications in Mathematical Sciences Pub Date : 2023-09-22 DOI: 10.4310/cms.2023.v21.n6.a14
Philippe Laurençot
{"title":"Long term spatial homogeneity for a chemotaxis model with local sensing and consumption","authors":"Philippe Laurençot","doi":"10.4310/cms.2023.v21.n6.a14","DOIUrl":"https://doi.org/10.4310/cms.2023.v21.n6.a14","url":null,"abstract":"Global weak solutions to a chemotaxis model with local sensing and consumption are shown to converge to spatially homogeneous steady states in the large time limit, when the motility is assumed to be positive and $C^1$-smooth on $[0,infty)$. The result is valid in arbitrary space dimension $n geq1$ and extends a previous result which only deals with space dimensions $n in {lbrace 1,2,3 rbrace}$.","PeriodicalId":50659,"journal":{"name":"Communications in Mathematical Sciences","volume":"1226 ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138515172","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
The global generalized solution of the chemotaxis-Navier–Stokes system with logistic source 具有logistic源的chemotaxis-Navier-Stokes系统的全局广义解
4区 数学
Communications in Mathematical Sciences Pub Date : 2023-01-01 DOI: 10.4310/cms.2023.v21.n6.a5
Dandan Ding, Zhong Tan, Zhonger Wu
{"title":"The global generalized solution of the chemotaxis-Navier–Stokes system with logistic source","authors":"Dandan Ding, Zhong Tan, Zhonger Wu","doi":"10.4310/cms.2023.v21.n6.a5","DOIUrl":"https://doi.org/10.4310/cms.2023.v21.n6.a5","url":null,"abstract":"","PeriodicalId":50659,"journal":{"name":"Communications in Mathematical Sciences","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135649583","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
A low Mach two-speed relaxation scheme for the compressible Euler equations with gravity 带重力的可压缩欧拉方程的低马赫双速松弛格式
4区 数学
Communications in Mathematical Sciences Pub Date : 2023-01-01 DOI: 10.4310/cms.2023.v21.n8.a7
Claudius Birke, Christophe Chalons, Christian Klingenberg
{"title":"A low Mach two-speed relaxation scheme for the compressible Euler equations with gravity","authors":"Claudius Birke, Christophe Chalons, Christian Klingenberg","doi":"10.4310/cms.2023.v21.n8.a7","DOIUrl":"https://doi.org/10.4310/cms.2023.v21.n8.a7","url":null,"abstract":"We present a numerical approximation of the solutions of the Euler equations with a gravitational source term. On the basis of a Suliciu type relaxation model with two relaxation speeds, we construct an approximate Riemann solver, which is used in a first order Godunov-type finite volume scheme. This scheme can preserve both stationary solutions and the low Mach limit to the corresponding incompressible equations. In addition, we prove that our scheme preserves the positivity of density and internal energy, that it is entropy satisfying and also guarantees not to give rise to numerical checkerboard modes in the incompressible limit. Later we give an extension to second order that preserves positivity, asymptotic-preserving and well-balancing properties. Finally, the theoretical properties are investigated in numerical experiments.","PeriodicalId":50659,"journal":{"name":"Communications in Mathematical Sciences","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135712012","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: 4
A kind of time-inconsistent corporate international investment problem with discontinuous cash flow 一类具有不连续现金流的时间不一致企业国际投资问题
4区 数学
Communications in Mathematical Sciences Pub Date : 2023-01-01 DOI: 10.4310/cms.2023.v21.n7.a1
Haiyang Wang, Zhen Wu
{"title":"A kind of time-inconsistent corporate international investment problem with discontinuous cash flow","authors":"Haiyang Wang, Zhen Wu","doi":"10.4310/cms.2023.v21.n7.a1","DOIUrl":"https://doi.org/10.4310/cms.2023.v21.n7.a1","url":null,"abstract":"","PeriodicalId":50659,"journal":{"name":"Communications in Mathematical Sciences","volume":"148 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136052542","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
Generalized integral equation method for an elliptic nonlocal equation in measure space 测度空间椭圆型非局部方程的广义积分方程方法
IF 1 4区 数学
Communications in Mathematical Sciences Pub Date : 2023-01-01 DOI: 10.4310/cms.2023.v21.n2.a4
Chunxiong Zheng, Jia Yin
{"title":"Generalized integral equation method for an elliptic nonlocal equation in measure space","authors":"Chunxiong Zheng, Jia Yin","doi":"10.4310/cms.2023.v21.n2.a4","DOIUrl":"https://doi.org/10.4310/cms.2023.v21.n2.a4","url":null,"abstract":"","PeriodicalId":50659,"journal":{"name":"Communications in Mathematical Sciences","volume":"1 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70421549","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
Emergent behaviors of Kuramoto model with frustration under switching topology 开关拓扑下具有挫折的Kuramoto模型的紧急行为
IF 1 4区 数学
Communications in Mathematical Sciences Pub Date : 2023-01-01 DOI: 10.4310/cms.2023.v21.n2.a6
Tingting Zhu
{"title":"Emergent behaviors of Kuramoto model with frustration under switching topology","authors":"Tingting Zhu","doi":"10.4310/cms.2023.v21.n2.a6","DOIUrl":"https://doi.org/10.4310/cms.2023.v21.n2.a6","url":null,"abstract":"","PeriodicalId":50659,"journal":{"name":"Communications in Mathematical Sciences","volume":"1 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70422291","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
KAM persistence for multiscale generalized Hamiltonian systems 多尺度广义哈密顿系统的KAM持久性
IF 1 4区 数学
Communications in Mathematical Sciences Pub Date : 2023-01-01 DOI: 10.4310/cms.2023.v21.n2.a12
Weichao Qian, Xue Yang, Yong Li
{"title":"KAM persistence for multiscale generalized Hamiltonian systems","authors":"Weichao Qian, Xue Yang, Yong Li","doi":"10.4310/cms.2023.v21.n2.a12","DOIUrl":"https://doi.org/10.4310/cms.2023.v21.n2.a12","url":null,"abstract":"","PeriodicalId":50659,"journal":{"name":"Communications in Mathematical Sciences","volume":"1 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70421514","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 existence and limit behavior of the shock layer for 1D stationary compressible non-Newtonian fluids 一维静止可压缩非牛顿流体激波层的存在性及极限行为
IF 1 4区 数学
Communications in Mathematical Sciences Pub Date : 2023-01-01 DOI: 10.4310/cms.2023.v21.n1.a11
Zhenhua Guo, Yifan Su, Jinjing Liu
{"title":"The existence and limit behavior of the shock layer for 1D stationary compressible non-Newtonian fluids","authors":"Zhenhua Guo, Yifan Su, Jinjing Liu","doi":"10.4310/cms.2023.v21.n1.a11","DOIUrl":"https://doi.org/10.4310/cms.2023.v21.n1.a11","url":null,"abstract":"","PeriodicalId":50659,"journal":{"name":"Communications in Mathematical Sciences","volume":"50 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70421848","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 the global well-posedness and optimal large-time behavior of strong solution for a multi-dimensional two-fluid plasma model 多维双流体等离子体模型强解的全局适定性和最优大时性
IF 1 4区 数学
Communications in Mathematical Sciences Pub Date : 2023-01-01 DOI: 10.4310/cms.2023.v21.n4.a6
Fuyi Xu, Ningning Gao
{"title":"On the global well-posedness and optimal large-time behavior of strong solution for a multi-dimensional two-fluid plasma model","authors":"Fuyi Xu, Ningning Gao","doi":"10.4310/cms.2023.v21.n4.a6","DOIUrl":"https://doi.org/10.4310/cms.2023.v21.n4.a6","url":null,"abstract":"","PeriodicalId":50659,"journal":{"name":"Communications in Mathematical Sciences","volume":"1 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70422063","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 initial-boundary value problem for the Landau–Lifshitz equation with Gilbert damping term 具有Gilbert阻尼项的Landau-Lifshitz方程的初边值问题
4区 数学
Communications in Mathematical Sciences Pub Date : 2023-01-01 DOI: 10.4310/cms.2023.v21.n6.a13
Qi Guo, Yamin Xiao
{"title":"The initial-boundary value problem for the Landau–Lifshitz equation with Gilbert damping term","authors":"Qi Guo, Yamin Xiao","doi":"10.4310/cms.2023.v21.n6.a13","DOIUrl":"https://doi.org/10.4310/cms.2023.v21.n6.a13","url":null,"abstract":"","PeriodicalId":50659,"journal":{"name":"Communications in Mathematical Sciences","volume":"293 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135649582","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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