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Discrete and Continuous Dynamical Systems-Series B最新文献

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Quantized vortex dynamics of the nonlinear wave equation on the torus 环面上非线性波动方程的量化涡动力学
4区 数学
Discrete and Continuous Dynamical Systems-Series B Pub Date : 2023-01-01 DOI: 10.3934/dcdsb.2023188
Yongxing Zhu
{"title":"Quantized vortex dynamics of the nonlinear wave equation on the torus","authors":"Yongxing Zhu","doi":"10.3934/dcdsb.2023188","DOIUrl":"https://doi.org/10.3934/dcdsb.2023188","url":null,"abstract":"We rigorously derive the reduced dynamical law for quantized vortex dynamics of the nonlinear wave equation on the torus when the core size of vortex $ varepsilonto 0 $. It is proved that the reduced dynamical law is a system consisting of second-order nonlinear ordinary differential equations driven by the renormalized energy on the torus, and the initial data of the reduced dynamical law is determined by the positions of vortices and the limit momentum of the solution of the nonlinear wave equation. We will also investigate the effect of the limit momentum on the vortex dynamics via numerical simulation.","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":"62 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":"135709286","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
Dynamics of a plant-herbivore system with Ricker plant growth and the strong Allee effects on plant population Ricker植物生长和强Allee对植物种群影响的植草食系统动态
IF 1.2 4区 数学
Discrete and Continuous Dynamical Systems-Series B Pub Date : 2023-01-01 DOI: 10.3934/dcdsb.2023108
E. Beso, S. Kalabušić, E. Pilav
{"title":"Dynamics of a plant-herbivore system with Ricker plant growth and the strong Allee effects on plant population","authors":"E. Beso, S. Kalabušić, E. Pilav","doi":"10.3934/dcdsb.2023108","DOIUrl":"https://doi.org/10.3934/dcdsb.2023108","url":null,"abstract":"","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":"93 8 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87666534","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 scalar symmetry in discrete dynamical systems 离散动力系统中的涌现标量对称
IF 1.2 4区 数学
Discrete and Continuous Dynamical Systems-Series B Pub Date : 2023-01-01 DOI: 10.3934/dcdsb.2023085
Pedro-María Alcover-Garau
{"title":"Emergent scalar symmetry in discrete dynamical systems","authors":"Pedro-María Alcover-Garau","doi":"10.3934/dcdsb.2023085","DOIUrl":"https://doi.org/10.3934/dcdsb.2023085","url":null,"abstract":"","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":"44 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76630219","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
Local discontinuous Galerkin schemes for an ultrasonic propagation equation with fractional attenuation 分数阶衰减超声传播方程的局部不连续伽辽金格式
IF 1.2 4区 数学
Discrete and Continuous Dynamical Systems-Series B Pub Date : 2023-01-01 DOI: 10.3934/dcdsb.2023063
Can Li, Min-Min Li, Z. Fellah
{"title":"Local discontinuous Galerkin schemes for an ultrasonic propagation equation with fractional attenuation","authors":"Can Li, Min-Min Li, Z. Fellah","doi":"10.3934/dcdsb.2023063","DOIUrl":"https://doi.org/10.3934/dcdsb.2023063","url":null,"abstract":"","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":"19 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72687035","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
Propagation dynamics of nonlocal dispersal equations with bistable nonlinearity in spatially periodic media 双稳非线性非局部扩散方程在空间周期介质中的传播动力学
IF 1.2 4区 数学
Discrete and Continuous Dynamical Systems-Series B Pub Date : 2023-01-01 DOI: 10.3934/dcdsb.2022257
Yuanyuan Hao, Wan-Tong Li, Jiabing Wang
{"title":"Propagation dynamics of nonlocal dispersal equations with bistable nonlinearity in spatially periodic media","authors":"Yuanyuan Hao, Wan-Tong Li, Jiabing Wang","doi":"10.3934/dcdsb.2022257","DOIUrl":"https://doi.org/10.3934/dcdsb.2022257","url":null,"abstract":"","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":"105 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80627402","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
Global existence and optimal time decay for the viscous liquid-gas two-phase flow model in the $ L^p $ critical Besov space L^p临界Besov空间中黏性液气两相流模型的全局存在性和最优时间衰减
IF 1.2 4区 数学
Discrete and Continuous Dynamical Systems-Series B Pub Date : 2023-01-01 DOI: 10.3934/dcdsb.2023055
Jiang Xu, Li-Min Zhu
{"title":"Global existence and optimal time decay for the viscous liquid-gas two-phase flow model in the $ L^p $ critical Besov space","authors":"Jiang Xu, Li-Min Zhu","doi":"10.3934/dcdsb.2023055","DOIUrl":"https://doi.org/10.3934/dcdsb.2023055","url":null,"abstract":"","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":"1 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83757300","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
Three limit cycles for 3D Ricker competitive system 三维Ricker竞争系统的三个极限环
IF 1.2 4区 数学
Discrete and Continuous Dynamical Systems-Series B Pub Date : 2023-01-01 DOI: 10.3934/dcdsb.2023103
Yaoqi Li, Jifa Jiang
{"title":"Three limit cycles for 3D Ricker competitive system","authors":"Yaoqi Li, Jifa Jiang","doi":"10.3934/dcdsb.2023103","DOIUrl":"https://doi.org/10.3934/dcdsb.2023103","url":null,"abstract":"","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":"1 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89970600","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
Global strong/classical solutions to the one-dimensional compressible Navier-Stokes-Allen-Cahn system with density-dependent viscosity 具有密度依赖粘度的一维可压缩Navier-Stokes-Allen-Cahn系统的全局强/经典解
IF 1.2 4区 数学
Discrete and Continuous Dynamical Systems-Series B Pub Date : 2023-01-01 DOI: 10.3934/dcdsb.2023127
Zhengzheng Chen, Ran Duan, Lin He, Yeping Li
{"title":"Global strong/classical solutions to the one-dimensional compressible Navier-Stokes-Allen-Cahn system with density-dependent viscosity","authors":"Zhengzheng Chen, Ran Duan, Lin He, Yeping Li","doi":"10.3934/dcdsb.2023127","DOIUrl":"https://doi.org/10.3934/dcdsb.2023127","url":null,"abstract":"","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":"11 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88687322","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
On the effects of density-dependent emigration on ecological models with logistic and weak Allee type growth terms 密度依赖移民对logistic和弱通道型生态模型的影响
IF 1.2 4区 数学
Discrete and Continuous Dynamical Systems-Series B Pub Date : 2023-01-01 DOI: 10.3934/dcdsb.2023142
A. Acharya, N. Fonseka, Jerome Goddard II, Alketa Henderson, R. Shivaji
{"title":"On the effects of density-dependent emigration on ecological models with logistic and weak Allee type growth terms","authors":"A. Acharya, N. Fonseka, Jerome Goddard II, Alketa Henderson, R. Shivaji","doi":"10.3934/dcdsb.2023142","DOIUrl":"https://doi.org/10.3934/dcdsb.2023142","url":null,"abstract":"","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":"32 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73794257","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 parallel subgrid stabilized algorithm for incompressible flows with nonlinear slip boundary conditions 非线性滑移边界条件下不可压缩流动的平行子网格稳定算法
IF 1.2 4区 数学
Discrete and Continuous Dynamical Systems-Series B Pub Date : 2023-01-01 DOI: 10.3934/dcdsb.2022259
Yueqiang Shang, Hongtao Ran
{"title":"A parallel subgrid stabilized algorithm for incompressible flows with nonlinear slip boundary conditions","authors":"Yueqiang Shang, Hongtao Ran","doi":"10.3934/dcdsb.2022259","DOIUrl":"https://doi.org/10.3934/dcdsb.2022259","url":null,"abstract":"","PeriodicalId":51015,"journal":{"name":"Discrete and Continuous Dynamical Systems-Series B","volume":"187 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75191537","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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