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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":null,"pages":null},"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":null,"pages":null},"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":null,"pages":null},"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":null,"pages":null},"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":null,"pages":null},"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":null,"pages":null},"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":null,"pages":null},"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":null,"pages":null},"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":null,"pages":null},"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
The fast method and convergence analysis of the fractional magnetohydrodynamic coupled flow and heat transfer model for the generalized second-grade fluid 广义二级流体分式磁流体动力耦合流动传热模型的快速方法及收敛性分析
2区 数学
Science China-Mathematics Pub Date : 2023-06-19 DOI: 10.1007/s11425-021-2063-0
Xiaoqing Chi, Hui Zhang, Xiaoyun Jiang
{"title":"The fast method and convergence analysis of the fractional magnetohydrodynamic coupled flow and heat transfer model for the generalized second-grade fluid","authors":"Xiaoqing Chi, Hui Zhang, Xiaoyun Jiang","doi":"10.1007/s11425-021-2063-0","DOIUrl":"https://doi.org/10.1007/s11425-021-2063-0","url":null,"abstract":"In this paper, we first establish a new fractional magnetohydrodynamic (MHD) coupled flow and heat transfer model for a generalized second-grade fluid. This coupled model consists of a fractional momentum equation and a heat conduction equation with a generalized form of Fourier law. The second-order fractional backward difference formula is applied to the temporal discretization and the Legendre spectral method is used for the spatial discretization. The fully discrete scheme is proved to be stable and convergent with an accuracy of O(τ2 + N−r), where τ is the time step-size and N is the polynomial degree. To reduce the memory requirements and computational cost, a fast method is developed, which is based on a globally uniform approximation of the trapezoidal rule for integrals on the real line. The strict convergence of the numerical scheme with this fast method is proved. We present the results of several numerical experiments to verify the effectiveness of the proposed method. Finally, we simulate the unsteady fractional MHD flow and heat transfer of the generalized second-grade fluid through a porous medium. The effects of the relevant parameters on the velocity and temperature are presented and analyzed in detail.","PeriodicalId":54444,"journal":{"name":"Science China-Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135380346","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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