Communications in Mathematical Analysis and Applications最新文献

筛选
英文 中文
The Euler Limit of the Relativistic Boltzmann Equation 相对论玻尔兹曼方程的欧拉极限
Communications in Mathematical Analysis and Applications Pub Date : 2023-05-01 DOI: 10.4208/cmaa.2023-0001
Dongcheng Yang and Hongjun Yu
{"title":"The Euler Limit of the Relativistic Boltzmann Equation","authors":"Dongcheng Yang and Hongjun Yu","doi":"10.4208/cmaa.2023-0001","DOIUrl":"https://doi.org/10.4208/cmaa.2023-0001","url":null,"abstract":"In this work we prove the existence and uniqueness theorems of the solutions to the relativistic Boltzmann equation for analytic initial fluctuations on a time interval independent of the Knudsen number ǫ > 0. As ǫ → 0, we prove that the solution of the relativistic Boltzmann equation tends to the local relativistic Maxwellian, whose fluid-dynamical parameters solve the relativistic Euler equations and the convergence rate is also obtained. Due to this convergence rate, the Hilbert expansion is verified in the short time interval for the relativistic Boltzmann equation. We also consider the physically important initial layer problem. As a by-product, an existence theorem for the relativistic Euler equations without the assumption of the non-vacuum fluid states is obtained. AMS subject classifications: 35Q99, 82A47","PeriodicalId":371957,"journal":{"name":"Communications in Mathematical Analysis and Applications","volume":"85 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122487786","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Decay of the Compressible Navier-Stokes Equations with Hyperbolic Heat Conduction 具有双曲热传导的可压缩Navier-Stokes方程的衰减
Communications in Mathematical Analysis and Applications Pub Date : 2023-02-01 DOI: 10.4208/cmaa.2022-0022
Zhigang Wu, Wenyue Li
{"title":"Decay of the Compressible Navier-Stokes Equations with Hyperbolic Heat Conduction","authors":"Zhigang Wu, Wenyue Li","doi":"10.4208/cmaa.2022-0022","DOIUrl":"https://doi.org/10.4208/cmaa.2022-0022","url":null,"abstract":"","PeriodicalId":371957,"journal":{"name":"Communications in Mathematical Analysis and Applications","volume":"55 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129498865","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","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 Brachistochrone Problem 关于勃氏时问题
Communications in Mathematical Analysis and Applications Pub Date : 2022-06-01 DOI: 10.4208/cmaa.2021-0005
P. G. Ciarlet, C. Mardare
{"title":"On the Brachistochrone Problem","authors":"P. G. Ciarlet, C. Mardare","doi":"10.4208/cmaa.2021-0005","DOIUrl":"https://doi.org/10.4208/cmaa.2021-0005","url":null,"abstract":"","PeriodicalId":371957,"journal":{"name":"Communications in Mathematical Analysis and Applications","volume":"218 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115522447","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Self-Similar Solutions of Leray’s Type for Compressible Navier-Stokes Equations in Two Dimension 二维可压缩Navier-Stokes方程的Leray型自相似解
Communications in Mathematical Analysis and Applications Pub Date : 2022-06-01 DOI: 10.4208/cmaa.2022-0001
Xianpeng Hu
{"title":"Self-Similar Solutions of Leray’s Type for Compressible Navier-Stokes Equations in Two Dimension","authors":"Xianpeng Hu","doi":"10.4208/cmaa.2022-0001","DOIUrl":"https://doi.org/10.4208/cmaa.2022-0001","url":null,"abstract":"","PeriodicalId":371957,"journal":{"name":"Communications in Mathematical Analysis and Applications","volume":"246 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122062408","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","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 Asymptotic Stability in a Chemotaxis Model with Signal-Dependent Motility and Nonlinear Signal Secretion 具有信号依赖运动和非线性信号分泌的趋化模型的有界性和渐近稳定性
Communications in Mathematical Analysis and Applications Pub Date : 2022-06-01 DOI: 10.4208/cmaa.2022-0018
Xinyu Tu, Chunlai Mu, Shuyan Qiu null, Jing Zhang
{"title":"Boundedness and Asymptotic Stability in a Chemotaxis Model with Signal-Dependent Motility and Nonlinear Signal Secretion","authors":"Xinyu Tu, Chunlai Mu, Shuyan Qiu null, Jing Zhang","doi":"10.4208/cmaa.2022-0018","DOIUrl":"https://doi.org/10.4208/cmaa.2022-0018","url":null,"abstract":"","PeriodicalId":371957,"journal":{"name":"Communications in Mathematical Analysis and Applications","volume":"212 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115974116","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Optimal Decay Rates of Solutions to a Blood Flow Model 血流模型溶液的最佳衰减率
Communications in Mathematical Analysis and Applications Pub Date : 2022-06-01 DOI: 10.4208/cmaa.2022-0016
Minyi Guo, Nangao Zhang, Changjiang Zhu
{"title":"Optimal Decay Rates of Solutions to a Blood Flow Model","authors":"Minyi Guo, Nangao Zhang, Changjiang Zhu","doi":"10.4208/cmaa.2022-0016","DOIUrl":"https://doi.org/10.4208/cmaa.2022-0016","url":null,"abstract":"","PeriodicalId":371957,"journal":{"name":"Communications in Mathematical Analysis and Applications","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116846146","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Asymptotic Behavior of Solutions to One-Dimensional Compressible Navier-Stokes-Poisson Equations with Large Initial Data 具有大初始数据的一维可压缩Navier-Stokes-Poisson方程解的渐近性质
Communications in Mathematical Analysis and Applications Pub Date : 2022-06-01 DOI: 10.4208/cmaa.2022-0002
Lan Zhang, Huijiang Zhao null, Qingsong Zhao
{"title":"Asymptotic Behavior of Solutions to One-Dimensional Compressible Navier-Stokes-Poisson Equations with Large Initial Data","authors":"Lan Zhang, Huijiang Zhao null, Qingsong Zhao","doi":"10.4208/cmaa.2022-0002","DOIUrl":"https://doi.org/10.4208/cmaa.2022-0002","url":null,"abstract":"","PeriodicalId":371957,"journal":{"name":"Communications in Mathematical Analysis and Applications","volume":"37 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124928829","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Intrinsic Formulation of the Kirchhoff-Love Theory of Nonlinearly Elastic Shallow Shells 非线性弹性浅壳的Kirchhoff-Love理论的内在表述
Communications in Mathematical Analysis and Applications Pub Date : 2022-06-01 DOI: 10.4208/cmaa.2022-0017
P. G. Ciarlet, C. Mardare
{"title":"Intrinsic Formulation of the Kirchhoff-Love Theory of Nonlinearly Elastic Shallow Shells","authors":"P. G. Ciarlet, C. Mardare","doi":"10.4208/cmaa.2022-0017","DOIUrl":"https://doi.org/10.4208/cmaa.2022-0017","url":null,"abstract":"","PeriodicalId":371957,"journal":{"name":"Communications in Mathematical Analysis and Applications","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121831250","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On a New Type of Chemotaxis Model with Acceleration 一类具有加速度的新型趋化性模型
Communications in Mathematical Analysis and Applications Pub Date : 2022-06-01 DOI: 10.4208/cmaa.2022-0003
Weirun Tao null, Zhian Wang
{"title":"On a New Type of Chemotaxis Model with Acceleration","authors":"Weirun Tao null, Zhian Wang","doi":"10.4208/cmaa.2022-0003","DOIUrl":"https://doi.org/10.4208/cmaa.2022-0003","url":null,"abstract":"","PeriodicalId":371957,"journal":{"name":"Communications in Mathematical Analysis and Applications","volume":"58 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116971209","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
On Short Wave-Long Wave Interactions in the Relativistic Context 论相对论背景下短波-长波相互作用
Communications in Mathematical Analysis and Applications Pub Date : 2022-06-01 DOI: 10.4208/cmaa.2021-0006
João Paulo Dias null, H. Frid
{"title":"On Short Wave-Long Wave Interactions in the Relativistic Context","authors":"João Paulo Dias null, H. Frid","doi":"10.4208/cmaa.2021-0006","DOIUrl":"https://doi.org/10.4208/cmaa.2021-0006","url":null,"abstract":"","PeriodicalId":371957,"journal":{"name":"Communications in Mathematical Analysis and Applications","volume":"84 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128618245","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信