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Well-posedness and long-time dynamics of fractional nonclassical diffusion equations with locally Lipschitz noise 局部Lipschitz噪声下分数阶非经典扩散方程的适定性和长时间动力学
IF 1 4区 数学
Communications in Mathematical Sciences Pub Date : 2023-01-01 DOI: 10.4310/cms.2023.v21.n3.a6
Renhai Wang, B. Guo, Chunxiao Guo
{"title":"Well-posedness and long-time dynamics of fractional nonclassical diffusion equations with locally Lipschitz noise","authors":"Renhai Wang, B. Guo, Chunxiao Guo","doi":"10.4310/cms.2023.v21.n3.a6","DOIUrl":"https://doi.org/10.4310/cms.2023.v21.n3.a6","url":null,"abstract":"","PeriodicalId":50659,"journal":{"name":"Communications in Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70421921","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
Existence theorems for a fourth-order exponential PDE related to crystal surface relaxation 与晶体表面弛豫有关的四阶指数偏微分方程的存在性定理
IF 1 4区 数学
Communications in Mathematical Sciences Pub Date : 2023-01-01 DOI: 10.4310/cms.2023.v21.n4.a3
Brock C. Price, Xiangsheng Xu
{"title":"Existence theorems for a fourth-order exponential PDE related to crystal surface relaxation","authors":"Brock C. Price, Xiangsheng Xu","doi":"10.4310/cms.2023.v21.n4.a3","DOIUrl":"https://doi.org/10.4310/cms.2023.v21.n4.a3","url":null,"abstract":"","PeriodicalId":50659,"journal":{"name":"Communications in Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70421981","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
Existence of polynomial attractor for a class of extensible beams with nonlocal weak damping 一类非局部弱阻尼可扩展梁的多项式吸引子的存在性
IF 1 4区 数学
Communications in Mathematical Sciences Pub Date : 2023-01-01 DOI: 10.4310/cms.2023.v21.n5.a10
Chunxiang Zhao, Chunyan Zhao, C. Zhong
{"title":"Existence of polynomial attractor for a class of extensible beams with nonlocal weak damping","authors":"Chunxiang Zhao, Chunyan Zhao, C. Zhong","doi":"10.4310/cms.2023.v21.n5.a10","DOIUrl":"https://doi.org/10.4310/cms.2023.v21.n5.a10","url":null,"abstract":"","PeriodicalId":50659,"journal":{"name":"Communications in Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70422077","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
Pullback exponential attractors for the three dimensional non-autonomous primitive equations of large scale ocean and atmosphere dynamics 大尺度海洋和大气动力学三维非自治原始方程的回拉指数吸引子
IF 1 4区 数学
Communications in Mathematical Sciences Pub Date : 2023-01-01 DOI: 10.4310/cms.2023.v21.n5.a11
Bo You
{"title":"Pullback exponential attractors for the three dimensional non-autonomous primitive equations of large scale ocean and atmosphere dynamics","authors":"Bo You","doi":"10.4310/cms.2023.v21.n5.a11","DOIUrl":"https://doi.org/10.4310/cms.2023.v21.n5.a11","url":null,"abstract":"","PeriodicalId":50659,"journal":{"name":"Communications in Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70422127","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 class of global large solutions to the Oldroyd-B-type model with fractional dissipation 具有分数阶耗散的oldroyd - b型模型的一类全局大解
IF 1 4区 数学
Communications in Mathematical Sciences Pub Date : 2023-01-01 DOI: 10.4310/cms.2023.v21.n5.a8
Yichen Dai, Zhong Tan, Jiahong Wu
{"title":"A class of global large solutions to the Oldroyd-B-type model with fractional dissipation","authors":"Yichen Dai, Zhong Tan, Jiahong Wu","doi":"10.4310/cms.2023.v21.n5.a8","DOIUrl":"https://doi.org/10.4310/cms.2023.v21.n5.a8","url":null,"abstract":"","PeriodicalId":50659,"journal":{"name":"Communications in Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70422263","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
Fokker–Planck modeling of many-agent systems in swarm manufacturing: asymptotic analysis and numerical results 群制造中多智能体系统的Fokker-Planck建模:渐近分析与数值结果
4区 数学
Communications in Mathematical Sciences Pub Date : 2023-01-01 DOI: 10.4310/cms.2023.v21.n6.a10
Ferdinando Auricchio, Giuseppe Toscani, Mattia Zanella
{"title":"Fokker–Planck modeling of many-agent systems in swarm manufacturing: asymptotic analysis and numerical results","authors":"Ferdinando Auricchio, Giuseppe Toscani, Mattia Zanella","doi":"10.4310/cms.2023.v21.n6.a10","DOIUrl":"https://doi.org/10.4310/cms.2023.v21.n6.a10","url":null,"abstract":"In this paper we study a novel Fokker-Planck-type model that is designed to mimic manufacturing processes through the dynamics characterizing a large set of agents. In particular, we describe a many-agent system interacting with a target domain in such a way that each agent/particle is attracted by the center of mass of the target domain with the aim to uniformly cover this zone. To this end, we first introduce a mean-field model with discontinuous flux whose large time behavior is such that the steady state is globally continuous and uniform over a connected portion of the domain. We prove that a diffusion coefficient that guarantees that a given portion of mass enters in the target domain exists and that it is unique. Furthermore, convergence to equilibrium in 1D is provided through a reformulation of the initial problem involving a nonconstant diffusion function. The extension to 2D is explored numerically by means of recently introduced structure preserving methods for Fokker-Planck equations.","PeriodicalId":50659,"journal":{"name":"Communications in Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135783311","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: 2
Global strong solutions to the compressible Navier–Stokes system with potential temperature transport 具有潜在温度输运的可压缩Navier-Stokes系统的全局强解
4区 数学
Communications in Mathematical Sciences Pub Date : 2023-01-01 DOI: 10.4310/cms.2023.v21.n8.a8
Xiaoping Zhai, Yongsheng Li, Fujun Zhou
{"title":"Global strong solutions to the compressible Navier–Stokes system with potential temperature transport","authors":"Xiaoping Zhai, Yongsheng Li, Fujun Zhou","doi":"10.4310/cms.2023.v21.n8.a8","DOIUrl":"https://doi.org/10.4310/cms.2023.v21.n8.a8","url":null,"abstract":"We study the global strong solutions to the compressible Navier-Stokes system with potential temperature transport in $mathbb{R}^n.$ Different from the Navier-Stokes-Fourier system, the pressure is a nonlinear function of the density and the potential temperature, we can not exploit the special quasi-diagonalization structure of this system to capture any dissipation of the density. Some new idea and delicate analysis involved in high or low frequency decomposition in the Besov spaces have to be made to close the energy estimates.","PeriodicalId":50659,"journal":{"name":"Communications in Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135712017","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
Some models for the interaction of long and short waves in dispersive media. Part II: Well-posedness 色散介质中长、短波相互作用的一些模型。第二部分:举止得体
IF 1 4区 数学
Communications in Mathematical Sciences Pub Date : 2023-01-01 DOI: 10.4310/cms.2023.v21.n3.a3
Chuangye Liu, Nghiem V. Nguyen
{"title":"Some models for the interaction of long and short waves in dispersive media. Part II: Well-posedness","authors":"Chuangye Liu, Nghiem V. Nguyen","doi":"10.4310/cms.2023.v21.n3.a3","DOIUrl":"https://doi.org/10.4310/cms.2023.v21.n3.a3","url":null,"abstract":"","PeriodicalId":50659,"journal":{"name":"Communications in Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70421877","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
Error estimate of the nonuniform $L1$ type formula for the time fractional diffusion-wave equation 时间分数阶扩散波动方程非均匀L1型公式的误差估计
4区 数学
Communications in Mathematical Sciences Pub Date : 2023-01-01 DOI: 10.4310/cms.2023.v21.n6.a12
Hong Sun, Yanping Chen, Xuan Zhao
{"title":"Error estimate of the nonuniform $L1$ type formula for the time fractional diffusion-wave equation","authors":"Hong Sun, Yanping Chen, Xuan Zhao","doi":"10.4310/cms.2023.v21.n6.a12","DOIUrl":"https://doi.org/10.4310/cms.2023.v21.n6.a12","url":null,"abstract":"","PeriodicalId":50659,"journal":{"name":"Communications in Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135649579","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
Stability of contact discontinuity for an isentropic viscosity system with Chaplygin gas 含Chaplygin气体的等熵粘性系统接触不连续的稳定性
4区 数学
Communications in Mathematical Sciences Pub Date : 2023-01-01 DOI: 10.4310/cms.2023.v21.n6.a8
Jinjing Liu, Meichen Hou
{"title":"Stability of contact discontinuity for an isentropic viscosity system with Chaplygin gas","authors":"Jinjing Liu, Meichen Hou","doi":"10.4310/cms.2023.v21.n6.a8","DOIUrl":"https://doi.org/10.4310/cms.2023.v21.n6.a8","url":null,"abstract":"","PeriodicalId":50659,"journal":{"name":"Communications in Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135649916","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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