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Communications in Mathematical Analysis and Applications最新文献

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An Existence Result for a Mathematical Model of Koiter’s Type 科伊特数学模型的存在性结果
Communications in Mathematical Analysis and Applications Pub Date : 2024-04-01 DOI: 10.4208/cmaa.2024-0005
Trung Hieu Giang
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引用次数: 0
On the Sum of Operators of $p$-Laplacian Types 论 p$ 拉普拉斯类型的算子之和
Communications in Mathematical Analysis and Applications Pub Date : 2024-03-01 DOI: 10.4208/cmaa.2024-0004
M. Chipot
{"title":"On the Sum of Operators of $p$-Laplacian Types","authors":"M. Chipot","doi":"10.4208/cmaa.2024-0004","DOIUrl":"https://doi.org/10.4208/cmaa.2024-0004","url":null,"abstract":"","PeriodicalId":371957,"journal":{"name":"Communications in Mathematical Analysis and Applications","volume":"56 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140407242","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
The Relaxation Limit of a Quasi-Linear Hyperbolic-Parabolic Chemotaxis System Modeling Vasculogenesis 模拟血管生成的准线性双曲-抛物线趋化系统的松弛极限
Communications in Mathematical Analysis and Applications Pub Date : 2024-03-01 DOI: 10.4208/cmaa.2024-0001
Qingqing Liu, Hongyun Peng and Zhi-An Wang
{"title":"The Relaxation Limit of a Quasi-Linear Hyperbolic-Parabolic Chemotaxis System Modeling Vasculogenesis","authors":"Qingqing Liu, Hongyun Peng and Zhi-An Wang","doi":"10.4208/cmaa.2024-0001","DOIUrl":"https://doi.org/10.4208/cmaa.2024-0001","url":null,"abstract":"","PeriodicalId":371957,"journal":{"name":"Communications in Mathematical Analysis and Applications","volume":"6 10","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140083376","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 Hodge Decomposition, Effective Viscous Flux and Compressible Navier-Stokes 关于霍奇分解、有效粘性通量和可压缩 Navier-Stokes
Communications in Mathematical Analysis and Applications Pub Date : 2024-03-01 DOI: 10.4208/cmaa.2024-0002
H. Frid, Daniel Marroquin and João Fernando Nariyoshi
{"title":"On Hodge Decomposition, Effective Viscous Flux and Compressible Navier-Stokes","authors":"H. Frid, Daniel Marroquin and João Fernando Nariyoshi","doi":"10.4208/cmaa.2024-0002","DOIUrl":"https://doi.org/10.4208/cmaa.2024-0002","url":null,"abstract":"","PeriodicalId":371957,"journal":{"name":"Communications in Mathematical Analysis and Applications","volume":"37 15","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140086403","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
Time-Velocity Decay of Solutions to the Non-cutoff Boltzmann Equation in the Whole Space 全空间非截止波尔兹曼方程解的时速衰减
Communications in Mathematical Analysis and Applications Pub Date : 2024-02-05 DOI: 10.4208/cmaa.2024-0003
Chuqi Cao, Renjun Duan, Zongguang Li
{"title":"Time-Velocity Decay of Solutions to the Non-cutoff Boltzmann Equation in the Whole Space","authors":"Chuqi Cao, Renjun Duan, Zongguang Li","doi":"10.4208/cmaa.2024-0003","DOIUrl":"https://doi.org/10.4208/cmaa.2024-0003","url":null,"abstract":"In this paper, we consider the perturbed solutions with polynomial tail in large velocities for the non-cutoff Boltzmann equation near global Maxwellians in the whole space. The global in time existence is proved in the weighted Sobolev spaces and the almost optimal time decay is obtained in Fourier transform based low-regularity spaces. The result shows a time-velocity decay structure of solutions that can be decomposed into two parts. One part allows the slow polynomial tail in large velocities, carries the initial data and enjoys the exponential or arbitrarily large polynomial time decay. The other part, with zero initial data, is dominated by the non-negative definite symmetric dissipation and has the exponential velocity decay but only the slow polynomial time decay.","PeriodicalId":371957,"journal":{"name":"Communications in Mathematical Analysis and Applications","volume":"169 ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140461665","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
Gevrey Well-Posedness of Quasi-Linear Hyperbolic Prandtl Equations 准线性双曲普朗特方程的 Gevrey 解析
Communications in Mathematical Analysis and Applications Pub Date : 2023-11-01 DOI: 10.4208/cmaa.2023-0007
Wei-Xi Li, Tong Yang and Ping Zhang
{"title":"Gevrey Well-Posedness of Quasi-Linear Hyperbolic Prandtl Equations","authors":"Wei-Xi Li, Tong Yang and Ping Zhang","doi":"10.4208/cmaa.2023-0007","DOIUrl":"https://doi.org/10.4208/cmaa.2023-0007","url":null,"abstract":"","PeriodicalId":371957,"journal":{"name":"Communications in Mathematical Analysis and Applications","volume":"40 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139300141","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
Global Regularity of the Vlasov-Poisson-Boltzmann System Near Maxwellian Without Angular Cutoff for Soft Potential 软势能的弗拉索夫-泊松-波尔兹曼系统在无角度截止的麦克斯韦附近的全局正则性
Communications in Mathematical Analysis and Applications Pub Date : 2023-11-01 DOI: 10.4208/cmaa.2023-0008
Dingqun Deng
{"title":"Global Regularity of the Vlasov-Poisson-Boltzmann System Near Maxwellian Without Angular Cutoff for Soft Potential","authors":"Dingqun Deng","doi":"10.4208/cmaa.2023-0008","DOIUrl":"https://doi.org/10.4208/cmaa.2023-0008","url":null,"abstract":"","PeriodicalId":371957,"journal":{"name":"Communications in Mathematical Analysis and Applications","volume":"2 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139293891","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
Vanishing Viscosity Limit to Planar Rarefaction Wave with Vacuum for 3D Compressible Navier-Stokes Equations 三维可压缩Navier-Stokes方程在真空条件下平面稀疏波的消失粘度极限
Communications in Mathematical Analysis and Applications Pub Date : 2023-06-01 DOI: 10.4208/cmaa.2022-0020
X. Bian, Yi Wang null, Lingyao Xie
{"title":"Vanishing Viscosity Limit to Planar Rarefaction Wave with Vacuum for 3D Compressible Navier-Stokes Equations","authors":"X. Bian, Yi Wang null, Lingyao Xie","doi":"10.4208/cmaa.2022-0020","DOIUrl":"https://doi.org/10.4208/cmaa.2022-0020","url":null,"abstract":". The vanishing viscosity limit of the three-dimensional (3D) compressible and isentropic Navier-Stokes equations is proved in the case that the corresponding 3D inviscid Euler equations admit a planar rarefaction wave so-lution connected with vacuum states. Moreover, a uniform convergence rate with respect to the viscosity coefficients is obtained. Compared with previous results on the zero dissipation limit to planar rarefaction wave away from vacuum states [27, 28], the new ingredients and main difficulties come from the degeneracy of vacuum states in the planar rarefaction wave in the multi-dimensional setting. Suitable cut-off techniques and some delicate estimates are needed near the vacuum states. The inviscid decay rate around the planar rarefaction wave with vacuum is determined by the cut-off parameter and the nonlinear advection flux terms of 3D compressible Navier-Stokes equations.","PeriodicalId":371957,"journal":{"name":"Communications in Mathematical Analysis and Applications","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121206548","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: 2
Averaging Principle for Stochastic Tidal Dynamics Equations 随机潮汐动力学方程的平均原理
Communications in Mathematical Analysis and Applications Pub Date : 2023-06-01 DOI: 10.4208/cmaa.2022-0019
Xiuwei Yin, Guangjun Shen null, Jiang-Lun Wu
{"title":"Averaging Principle for Stochastic Tidal Dynamics Equations","authors":"Xiuwei Yin, Guangjun Shen null, Jiang-Lun Wu","doi":"10.4208/cmaa.2022-0019","DOIUrl":"https://doi.org/10.4208/cmaa.2022-0019","url":null,"abstract":". In this paper, we aim to establish a strong averaging principle for stochastic tidal dynamics equations. The averaging principle is an effective method for studying the qualitative analysis of nonlinear dynamical systems. Under suitable assumptions, utilizing Khasminkii’s time discretization approach, we derive a strong averaging principle showing that the solution of stochastic tidal dynamics equations can be approximated by solutions of the system of averaged stochastic equations in the sense of convergence in mean square.","PeriodicalId":371957,"journal":{"name":"Communications in Mathematical Analysis and Applications","volume":"57 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131882970","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
An Intrinsic Formulation of the von Kármán Equations von Kármán方程的一个内在公式
Communications in Mathematical Analysis and Applications Pub Date : 2023-06-01 DOI: 10.4208/cmaa.2023-0002
Philippe G. Ciarlet null, C. Mardare
{"title":"An Intrinsic Formulation of the von Kármán Equations","authors":"Philippe G. Ciarlet null, C. Mardare","doi":"10.4208/cmaa.2023-0002","DOIUrl":"https://doi.org/10.4208/cmaa.2023-0002","url":null,"abstract":"","PeriodicalId":371957,"journal":{"name":"Communications in Mathematical Analysis and Applications","volume":"85 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115791015","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
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