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Dynamics of Partial Differential Equations最新文献

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Global regularity of multi-dimensional Burgers equation with critical dissipation only in one direction 单向临界耗散的多维Burgers方程的全局正则性
3区 数学
Dynamics of Partial Differential Equations Pub Date : 2023-01-01 DOI: 10.4310/dpde.2023.v20.n4.a4
Zhuan Ye
{"title":"Global regularity of multi-dimensional Burgers equation with critical dissipation only in one direction","authors":"Zhuan Ye","doi":"10.4310/dpde.2023.v20.n4.a4","DOIUrl":"https://doi.org/10.4310/dpde.2023.v20.n4.a4","url":null,"abstract":"","PeriodicalId":50562,"journal":{"name":"Dynamics of Partial Differential Equations","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":"135318983","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Analytic regularity for Navier–Stokes–Korteweg model on pseudo-measure spaces 伪测度空间上Navier-Stokes-Korteweg模型的解析正则性
IF 1.3 3区 数学
Dynamics of Partial Differential Equations Pub Date : 2023-01-01 DOI: 10.4310/dpde.2023.v20.n1.a1
A. Tendani Soler
{"title":"Analytic regularity for Navier–Stokes–Korteweg model on pseudo-measure spaces","authors":"A. Tendani Soler","doi":"10.4310/dpde.2023.v20.n1.a1","DOIUrl":"https://doi.org/10.4310/dpde.2023.v20.n1.a1","url":null,"abstract":"","PeriodicalId":50562,"journal":{"name":"Dynamics of Partial Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70426960","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Explicit solutions of atmospheric Ekman flows for some eddy viscosities in ellipsoidal coordinates 椭球坐标系下某些涡粘度的大气Ekman流的显式解
IF 1.3 3区 数学
Dynamics of Partial Differential Equations Pub Date : 2023-01-01 DOI: 10.4310/dpde.2023.v20.n2.a1
Taoyu Yang, Michal Feckan, Jinrong Wang
{"title":"Explicit solutions of atmospheric Ekman flows for some eddy viscosities in ellipsoidal coordinates","authors":"Taoyu Yang, Michal Feckan, Jinrong Wang","doi":"10.4310/dpde.2023.v20.n2.a1","DOIUrl":"https://doi.org/10.4310/dpde.2023.v20.n2.a1","url":null,"abstract":"","PeriodicalId":50562,"journal":{"name":"Dynamics of Partial Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70426984","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Flowbox theorems for a class of Sobolev vector fields 一类Sobolev向量场的流箱定理
IF 1.3 3区 数学
Dynamics of Partial Differential Equations Pub Date : 2023-01-01 DOI: 10.4310/dpde.2023.v20.n1.a2
M. Bessa
{"title":"Flowbox theorems for a class of Sobolev vector fields","authors":"M. Bessa","doi":"10.4310/dpde.2023.v20.n1.a2","DOIUrl":"https://doi.org/10.4310/dpde.2023.v20.n1.a2","url":null,"abstract":"","PeriodicalId":50562,"journal":{"name":"Dynamics of Partial Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70426969","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 strong solution and exponential decay to the 3D incompressible Bénard system with density-dependent viscosity and vacuum 具有密度依赖粘度和真空的三维不可压缩bsamadard系统的全局强解和指数衰减
IF 1.3 3区 数学
Dynamics of Partial Differential Equations Pub Date : 2023-01-01 DOI: 10.4310/dpde.2023.v20.n2.a2
M. Liu, Yong Li
{"title":"Global strong solution and exponential decay to the 3D incompressible Bénard system with density-dependent viscosity and vacuum","authors":"M. Liu, Yong Li","doi":"10.4310/dpde.2023.v20.n2.a2","DOIUrl":"https://doi.org/10.4310/dpde.2023.v20.n2.a2","url":null,"abstract":"","PeriodicalId":50562,"journal":{"name":"Dynamics of Partial Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70427025","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Periodic and quasi-periodic Euler-$alpha$ flows close to Rankine vortices 周期和准周期欧拉-$ α $流接近朗肯涡
3区 数学
Dynamics of Partial Differential Equations Pub Date : 2023-01-01 DOI: 10.4310/dpde.2023.v20.n4.a3
Emeric Roulley
{"title":"Periodic and quasi-periodic Euler-$alpha$ flows close to Rankine vortices","authors":"Emeric Roulley","doi":"10.4310/dpde.2023.v20.n4.a3","DOIUrl":"https://doi.org/10.4310/dpde.2023.v20.n4.a3","url":null,"abstract":"In the present contribution, we first prove the existence of $mathbf{m}$-fold simply-connected V-states close to the unit disc for Euler-$alpha$ equations. These solutions are implicitly obtained as bifurcation curves from the circular patches. We also prove the existence of quasi-periodic in time vortex patches close to the Rankine vortices provided that the scale parameter $alpha$ belongs to a suitable Cantor-like set of almost full Lebesgue measure. The techniques used to prove this result are borrowed from the Berti-Bolle theory in the context of KAM for PDEs.","PeriodicalId":50562,"journal":{"name":"Dynamics of Partial Differential Equations","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":"135319870","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 well-posedness and regularity criterion for nonhomogeneous magneto-micropolar fluid equations without angular viscosity 无角黏度的非均匀磁微极流体方程的局部适定性和正则性判据
IF 1.3 3区 数学
Dynamics of Partial Differential Equations Pub Date : 2023-01-01 DOI: 10.4310/dpde.2023.v20.n3.a2
Jishan Fan, X. Zhong
{"title":"Local well-posedness and regularity criterion for nonhomogeneous magneto-micropolar fluid equations without angular viscosity","authors":"Jishan Fan, X. Zhong","doi":"10.4310/dpde.2023.v20.n3.a2","DOIUrl":"https://doi.org/10.4310/dpde.2023.v20.n3.a2","url":null,"abstract":"","PeriodicalId":50562,"journal":{"name":"Dynamics of Partial Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70427091","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Threshold solutions for the 3D focusing cubic-quintic nonlinear Schrödinger equation at low frequencies 低频三维聚焦三次五次非线性Schrödinger方程的阈值解
3区 数学
Dynamics of Partial Differential Equations Pub Date : 2023-01-01 DOI: 10.4310/dpde.2023.v20.n4.a1
Masaru Hamano, Hiroaki Kikuchi, Minami Watanabe
{"title":"Threshold solutions for the 3D focusing cubic-quintic nonlinear Schrödinger equation at low frequencies","authors":"Masaru Hamano, Hiroaki Kikuchi, Minami Watanabe","doi":"10.4310/dpde.2023.v20.n4.a1","DOIUrl":"https://doi.org/10.4310/dpde.2023.v20.n4.a1","url":null,"abstract":"This paper addresses the focusing cubic-quintic nonlinear Schrodinger equation in three space dimensions. Especially, we study the global dynamics of solutions whose energy and mass equal to those of the ground state in the sprits of Duyckaerts and Merle (2009). When we try to obtain the corresponding result, we meet several difficulties due to the cubic-quintic nonlinearity. We overcome them by using the one-pass theorem (no return theorem) developed by Nakanishi and Schlag (2012).","PeriodicalId":50562,"journal":{"name":"Dynamics of Partial Differential Equations","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":"135319877","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Energy conservation and Onsager’s conjecture for a surface growth model 表面生长模型的能量守恒和Onsager猜想
3区 数学
Dynamics of Partial Differential Equations Pub Date : 2023-01-01 DOI: 10.4310/dpde.2023.v20.n4.a2
Wei Wei, Yulin Ye, Xue Mei
{"title":"Energy conservation and Onsager’s conjecture for a surface growth model","authors":"Wei Wei, Yulin Ye, Xue Mei","doi":"10.4310/dpde.2023.v20.n4.a2","DOIUrl":"https://doi.org/10.4310/dpde.2023.v20.n4.a2","url":null,"abstract":"","PeriodicalId":50562,"journal":{"name":"Dynamics of Partial Differential Equations","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":"135319429","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Polymer kinetic theory temperature dependent configurational probability diffusion equations: Existence of positive solution results 聚合物动力学温度相关构型概率扩散方程:正解结果的存在性
IF 1.3 3区 数学
Dynamics of Partial Differential Equations Pub Date : 2023-01-01 DOI: 10.4310/dpde.2023.v20.n2.a3
I. Ciuperca, L. Palade
{"title":"Polymer kinetic theory temperature dependent configurational probability diffusion equations: Existence of positive solution results","authors":"I. Ciuperca, L. Palade","doi":"10.4310/dpde.2023.v20.n2.a3","DOIUrl":"https://doi.org/10.4310/dpde.2023.v20.n2.a3","url":null,"abstract":"","PeriodicalId":50562,"journal":{"name":"Dynamics of Partial Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70427040","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
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