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CONTINUOUS: 作品数：1342被引量：2607H指数：17; 导出分析报告; 相关领域：理学更多>>; 相关作者：管仁国钞润泽赵颖运新兵隋允康更多>>; 相关机构：中南大学东北师范大学东北大学中国农业大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划国家高技术研究发展计划中国博士后科学基金更多>>

Holder continuous weak solutions of the 2D Boussinesq equation with thermal diffusion: 《Science China Mathematics》2024年第8期1777-1806,共30页Tianwen Luo Tao Tao Liqun Zhang; supported by National Natural Science Foundation of China(Grant No.11971464);supported by National Natural Science Foundation of China(Grant No.11901349);supported by National Natural Science Foundation of China(Grant Nos.11471320 and 11631008)。; We show the existence of Holder continuous periodic weak solutions of the 2D Boussinesq equation with thermal diffusion which satisfy the prescribed kinetic energy.More precisely,for any smooth e(t):[0,1]→R+andε∈(0...; 关键词：2D Boussinesq equation with thermal diffusion Holder continuous periodic weak solutions prescribed kinetic energy

Partial regularity and nonlinear potential estimates for Stokes systems with super-quadratic growth: 《Science China Mathematics》2024年第7期1525-1554,共30页Lingwei Ma Zhenqiu Zhang; supported by National Natural Science Foundation of China (Grant Nos. 12101452 and 12071229)。; This paper builds a bridge between partial regularity theory and nonlinear potential theory for the following generalized stationary Stokes system with super-quadratic growth and continuous coefficients:-div A(x,Du)+...; 关键词：nonlinear Stokes system partial regularity Wolff potential estimates continuous modulus estimates

Nearly optimal Bayesian shrinkage for high-dimensional regression: 《Science China Mathematics》2023年第2期409-442,共34页Qifan Song Faming Liang; supported by National Science Foundation of USA(Grant No.DMS1811812);supported by National Science Foundation of USA(Grant No.DMS-2015498);National Institutes of Health of USA(Grant Nos.R01GM117597 and R01GM126089)。; During the past decade,shrinkage priors have received much attention in Bayesian analysis of high-dimensional data.This paper establishes the posterior consistency for high-dimensional linear regression with a class o...; 关键词：Bayesian variable selection absolutely continuous shrinkage prior heavy tail posterior consistency high-dimensional inference

Compensated split-step balanced methods for nonlinear stiff SDEs with jump-diffusion and piecewise continuous arguments被引量：1: 《Science China Mathematics》2020年第12期2573-2594,共22页Ying Xie Chengjian Zhang; supported by National Natural Science Foundation of China(Grant No.11971010);Scientific Research Project of Education Department of Hubei Province(Grant No.B2019184)。; This paper deals with numerical solutions of nonlinear stiff stochastic differential equations with jump-diffusion and piecewise continuous arguments.By combining compensated split-step methods and balanced methods,a ...; 关键词：stiff stochastic differential equation jump diffusion piecewise continuous argument compensated split-step balanced method strong convergence mean-square exponential stability

Machine learning from a continuous viewpoint,I被引量：2: 《Science China Mathematics》2020年第11期2233-2266,共34页Weinan E Chao Ma Lei Wu; supported by a gift to Princeton University from iFlytek and the Office of Naval Research(ONR)Grant(Grant No.N00014-13-1-0338)。; We present a continuous formulation of machine learning,as a problem in the calculus of variations and differential-integral equations,in the spirit of classical numerical analysis.We demonstrate that conventional mac...; 关键词：machine learning continuous formulation flow-based model gradient flow particle approximation

Almost sure, L1-and L2-growth behavior of supercritical multi-type continuous state and continuous time branching processes with immigration被引量：1: 《Science China Mathematics》2020年第10期2089-2116,共28页Mátyás Barczy Sandra Palau Gyula Pap; supported by the János Bolyai Research Scholarship of the Hungarian Academy of Sciencessupported by the Royal Society Newton International Fellowship and the EU-funded Hungarian(Grant No.EFOP-3.6.1-16-2016-00008)。; Under a first order moment condition on the immigration mechanism,we show that an appropriately scaled supercritical and irreducible multi-type continuous state and continuous time branching process with immigration(C...; 关键词：multi-type continuous state and continuous time branching processes with immigration almost sure L1-and L2-growth behaviour

Conditional limit theorems for critical continuous-state branching processes: 《Science China Mathematics》2014年第12期2577-2588,共12页REN YanXia YANG Ting ZHAO GuoHuan; supported by National Natural Science Foundation of China(Grant Nos.11271030 and 11128101);Specialized Research Fund for the Doctoral Program of Higher Education and China Postdoctoral Science Foundation(Grant No.2013M541061); We study the conditional limit theorems for critical continuous-state branching processes with branching mechanism Ф（λ） = λ 1＋αL（1/λ）, where （α∈ [0, 1] and L is slowly varying at co. We prove that if α ...; 关键词：continuous-state branching process conditional laws regular variation

A fifth order semidiscrete mKdV equation被引量：1: 《Science China Mathematics》2013年第1期123-134,共12页ZHOU Tong ZHU ZuoNong HE Peng; supported by National Natural Science Foundation of China (Grant No.10971136);the Ministry of Education and Innovation of Spain (Grant No.MTM2009-12670); In this paper, aiming to get more insight on the relation between the higher order semidiscrete mKdV equations and higher order mKdV equations, we construct a fifth order semidiscrete mKdV equation from the three know...; 关键词：fifth order semidiscrete mKdV equation Darboux transformation soliton solutions conversationlaws continuous limits

Stochastic calculus for Markov processes associated with non-symmetric Dirichlet forms被引量：4: 《Science China Mathematics》2012年第11期2195-2203,共9页CHEN ChuanZhong MA Li SUN Wei; supported by National Natural Science Foundation of China (Grant No.10961012);Natural Sciences and Engineering Research Council of Canada (Grant No. 311945-2008); Nakao＇s stochastic integrals for continuous additive functionals of zero energy are extended from the symmetric Dirichlet forms setting to the non-symmetric Dirichlet forms setting. ItS＇s formula in terms of the ext...; 关键词：non-symmetric Dirichlet form Fukushima＇s decomposition continuous additive functional of zeroenergy stochastic integral Ito＇s formula

Small value probabilities for continuous state branching processes with immigration被引量：1: 《Science China Mathematics》2012年第11期2259-2271,共13页CHU WeiJuan LI WenBo V REN YanXia; supported by National Science Foundation of US (Grant Nos. DMS-0805929 and DMS-1106938);National Natural Science Foundation of China (Grant Nos. 10928103,10971003 and 11128101);Specialized Research Fund for the Doctoral Program of Higher Education of China;the Fundamental Research Funds for the Central Universities; We consider the small value probability of supercritical continuous state branching processes with immigration. From Pinsky （1972） it is known that under regularity condition on the branching mechanism and immigrati...; 关键词：continuous state branching process small value probability IMMIGRATION

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