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Stochastic 3D Leray-α model with fractional dissipation 具有分数耗散的随机三维Leray-α模型
IF 1.4 2区 数学
Science China-Mathematics Pub Date : 2023-08-15 DOI: 10.1007/s11425-021-2039-8
Shihu Li, W. Liu, Yingchao Xie
{"title":"Stochastic 3D Leray-α model with fractional dissipation","authors":"Shihu Li, W. Liu, Yingchao Xie","doi":"10.1007/s11425-021-2039-8","DOIUrl":"https://doi.org/10.1007/s11425-021-2039-8","url":null,"abstract":"","PeriodicalId":54444,"journal":{"name":"Science China-Mathematics","volume":"8 1","pages":"2589 - 2614"},"PeriodicalIF":1.4,"publicationDate":"2023-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74428856","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Eventually homological isomorphisms and Gorenstein projective modules 最后是同构同构和Gorenstein投影模
IF 1.4 2区 数学
Science China-Mathematics Pub Date : 2023-08-11 DOI: 10.1007/s11425-022-2146-5
Yongyun Qin, Dawei Shen
{"title":"Eventually homological isomorphisms and Gorenstein projective modules","authors":"Yongyun Qin, Dawei Shen","doi":"10.1007/s11425-022-2146-5","DOIUrl":"https://doi.org/10.1007/s11425-022-2146-5","url":null,"abstract":"","PeriodicalId":54444,"journal":{"name":"Science China-Mathematics","volume":"103 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2023-08-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72928736","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Sobolev embeddings in infinite dimensions 无限维的Sobolev嵌入
IF 1.4 2区 数学
Science China-Mathematics Pub Date : 2023-08-11 DOI: 10.1007/s11425-023-2174-9
Haimeng Luo, Xu Zhang, Shiliang Zhao
{"title":"Sobolev embeddings in infinite dimensions","authors":"Haimeng Luo, Xu Zhang, Shiliang Zhao","doi":"10.1007/s11425-023-2174-9","DOIUrl":"https://doi.org/10.1007/s11425-023-2174-9","url":null,"abstract":"","PeriodicalId":54444,"journal":{"name":"Science China-Mathematics","volume":"81 12 1","pages":"2157 - 2178"},"PeriodicalIF":1.4,"publicationDate":"2023-08-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83222307","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
One-dimensional monotone nonautonomous dynamical systems 一维单调非自治动力系统
IF 1.4 2区 数学
Science China-Mathematics Pub Date : 2023-07-21 DOI: 10.1007/s11425-021-2084-x
D. Cheban
{"title":"One-dimensional monotone nonautonomous dynamical systems","authors":"D. Cheban","doi":"10.1007/s11425-021-2084-x","DOIUrl":"https://doi.org/10.1007/s11425-021-2084-x","url":null,"abstract":"","PeriodicalId":54444,"journal":{"name":"Science China-Mathematics","volume":"50 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2023-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85797788","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
The symmetric space, strong isotropy irreducibility and equigeodesic properties 对称空间，强各向同性不可约性和等距性
IF 1.4 2区 数学
Science China-Mathematics Pub Date : 2023-07-13 DOI: 10.1007/s11425-022-2090-1
Ming Xu, Ju Tan
{"title":"The symmetric space, strong isotropy irreducibility and equigeodesic properties","authors":"Ming Xu, Ju Tan","doi":"10.1007/s11425-022-2090-1","DOIUrl":"https://doi.org/10.1007/s11425-022-2090-1","url":null,"abstract":"","PeriodicalId":54444,"journal":{"name":"Science China-Mathematics","volume":"3 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2023-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82480405","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Second-order error analysis of the averaged L1 scheme $$overline {{rm{L1}}} $$ for time-fractional initial-value and subdiffusion problems 时间分数阶初值和次扩散问题的平均L1格式的二阶误差分析$$overline {{rm{L1}}} $$
IF 1.4 2区 数学
Science China-Mathematics Pub Date : 2023-06-29 DOI: 10.1007/s11425-022-2078-4
Jinye Shen, Fanhai Zeng, M. Stynes
{"title":"Second-order error analysis of the averaged L1 scheme $$overline {{rm{L1}}} $$ for time-fractional initial-value and subdiffusion problems","authors":"Jinye Shen, Fanhai Zeng, M. Stynes","doi":"10.1007/s11425-022-2078-4","DOIUrl":"https://doi.org/10.1007/s11425-022-2078-4","url":null,"abstract":"","PeriodicalId":54444,"journal":{"name":"Science China-Mathematics","volume":"84 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2023-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89026360","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Optimal decorrelated score subsampling for generalized linear models with massive data 海量数据广义线性模型的最优去相关分数子抽样
IF 1.4 2区 数学
Science China-Mathematics Pub Date : 2023-06-29 DOI: 10.1007/s11425-022-2057-8
Junzhuo Gao, Lei Wang, Heng Lian
{"title":"Optimal decorrelated score subsampling for generalized linear models with massive data","authors":"Junzhuo Gao, Lei Wang, Heng Lian","doi":"10.1007/s11425-022-2057-8","DOIUrl":"https://doi.org/10.1007/s11425-022-2057-8","url":null,"abstract":"","PeriodicalId":54444,"journal":{"name":"Science China-Mathematics","volume":"49 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2023-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88375757","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Analysis of a class of globally divergence-free HDG methods for stationary Navier-Stokes equations 平稳Navier-Stokes方程的一类全局无散度HDG方法分析
2区 数学
Science China-Mathematics Pub Date : 2023-06-20 DOI: 10.1007/s11425-022-2077-7
Gang Chen, Xiaoping Xie
{"title":"Analysis of a class of globally divergence-free HDG methods for stationary Navier-Stokes equations","authors":"Gang Chen, Xiaoping Xie","doi":"10.1007/s11425-022-2077-7","DOIUrl":"https://doi.org/10.1007/s11425-022-2077-7","url":null,"abstract":"In this paper, we analyze a class of globally divergence-free (and therefore pressure-robust) hybridizable discontinuous Galerkin (HDG) finite element methods for stationary Navier-Stokes equations. The methods use the $$cal{P}_{k}/cal{P}_{k-1}(kgeqslant 1)$$ discontinuous finite element combination for the velocity and pressure approximations in the interior of elements, piecewise $$cal{P}_{m}(m=k,k-1)$$ for the velocity gradient approximation in the interior of elements, and piecewise $$cal{P}_{k}/cal{P}_{k}$$ for the trace approximations of the velocity and pressure on the inter-element boundaries. We show that the uniqueness condition for the discrete solution is guaranteed by that for the continuous solution together with a sufficiently small mesh size. Based on the derived discrete HDG Sobolev embedding properties, optimal error estimates are obtained. Numerical experiments are performed to verify the theoretical analysis.","PeriodicalId":54444,"journal":{"name":"Science China-Mathematics","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135238563","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
On infinite arithmetic progressions in sumsets 关于集合中的无限等差数列
IF 1.4 2区 数学
Science China-Mathematics Pub Date : 2023-06-20 DOI: 10.1007/s11425-023-2177-2
Yong-Gao Chen, Quan-Hui Yang, Lilu Zhao
{"title":"On infinite arithmetic progressions in sumsets","authors":"Yong-Gao Chen, Quan-Hui Yang, Lilu Zhao","doi":"10.1007/s11425-023-2177-2","DOIUrl":"https://doi.org/10.1007/s11425-023-2177-2","url":null,"abstract":"","PeriodicalId":54444,"journal":{"name":"Science China-Mathematics","volume":"7 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2023-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85241202","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 inviscid limit of the compressible Navier-Stokes equations near Onsager’s regularity in bounded domains 有界区域上可压缩Navier-Stokes方程在Onsager正则性附近的不粘极限
IF 1.4 2区 数学
Science China-Mathematics Pub Date : 2023-06-19 DOI: 10.1007/s11425-022-2085-3
R. Chen, Zhilei Liang, Dehua Wang, R. Xu
{"title":"On the inviscid limit of the compressible Navier-Stokes equations near Onsager’s regularity in bounded domains","authors":"R. Chen, Zhilei Liang, Dehua Wang, R. Xu","doi":"10.1007/s11425-022-2085-3","DOIUrl":"https://doi.org/10.1007/s11425-022-2085-3","url":null,"abstract":"","PeriodicalId":54444,"journal":{"name":"Science China-Mathematics","volume":"497 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2023-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79148636","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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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