国家重点基础研究发展计划(2011CB808002)

作品数：14被引量：8H指数：2
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相关作者：邹杨刘锋胡雪梅冯兆永姚正安更多>>
相关机构：重庆理工大学中山大学重庆工商大学中国科学院数学与系统科学研究院更多>>
相关期刊：《应用数学学报》《Science China Mathematics》《Acta Mathematicae Applicatae Sinica》《Acta Mathematica Scientia》更多>>
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ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE COMPRESSIBLE NEMATIC LIQUID CRYSTAL SYSTEM IN R3被引量：2
《Acta Mathematica Scientia》2017年第1期174-186,共13页李银 位瑞英 姚正安 
supported by NNSFC(11271381and 11501373);China 973 Program(2011CB808002);the Natural Science Foundation of Guangdong Province(2016A0300310019 and 2016A030307042);Guangdong Provincial culture of seedling of China(2013LYM0081);the Education research platform project of Guangdong Province(2014KQNCX208);the Education Reform Project of Guangdong Province(2015558);the Shaoguan Science and Technology Foundation(20157201);Education Reform Project of Shaoguan University(SYJY20121361 and SYJY20141576)
In this paper,we study a nematic liquid crystals system in three-dimensional whole space R3 and obtain the time decay rates of the higher-order spatial derivatives of the solution by the method of spectral analysis an...
关键词：nematic liquid crystals decay rates spectral analysis 
Accessibility and Homology Bounded Strong Unstable Foliation for Anosov Diffeomorphisms on 3-torus
《Acta Mathematica Sinica,English Series》2017年第1期71-76,共6页Yan REN Shao Bo GAN Peng Fei ZHANG 
Supported by 973 Project(Grant No.2011CB808002);NSFC(Grant Nos.11025101 and 11231001)
We give three equivalent conditions for non-accessibility of an Anosov diffeomorphism on the 3-torus with a partially hyperbolic splitting. Since accessibility is an open property, this gives a negative answer to Hamm...
关键词：Partially hyperbolic accessible homology bounded 
INCOMPRESSIBLE LIMIT OF THE NON-ISENTROPIC MAGNETOHYDRODYNAMIC EQUATIONS IN BOUNDED DOMAINS被引量：2
《Acta Mathematica Scientia》2015年第3期719-745,共27页王术 徐自立 
supported by NSFC(11371042);China 973 program(2011 CB808002);BSFC(1132006);CIT&TCD(20130312);the fund of the Beijing Education Committee(KZ 201210005005)
The incompressible limit of the non-isentropic magnetohydrodynamic equations with zero thermal coefficient, in a two dimensional bounded domain with the Dirichlet condi- tion for velocity and perfectly conducting boun...
关键词：Low Mach number limit non-isentropic magnetohydrodynamic equations bounded domain 
哈密顿系统的拉格朗日边值问题和赛弗特猜想(英文)
《数学进展》2015年第2期161-169,共9页刘春根 
Partially supported by NSFC(No.11071127,No.10621101);973 Program of Ministry of Science and Technology(No.2011CB808002);SRFDP
本文对哈密顿系统的拉格朗日边值问题及赛弗特猜想等方面的研究和进展做了介绍和总结.
关键词：基础数学 哈密顿系统 拉格朗日边值问题 赛弗特猜想 凸对称区域 
Navier-Stokes方程在图像放大中的应用被引量：1
《中山大学学报（自然科学版）》2015年第1期1-4,9,共5页邹杨 冯兆永 姚正安 
国家重点基础研究发展计划"973"基金资助项目(2011CB808002);国家自然科学基金资助项目(10971234;11471339)
利用基于流体动力学方程的模型进行图像放大处理。该模型有各向异性的扩散项和对流项,利用多种信息传播模式对未知信息进行填补。实验结果表明模型在图像放大处理的有效性。
关键词：图像放大 Navier-Stokes 方程 各向异性扩散 块状效应 
The Perturbed Problem on the Boussinesq System of Rayleigh-Bénard Convection
《Acta Mathematicae Applicatae Sinica》2014年第1期75-88,共14页Jian-guo SHI Shu WANG Ke WANG Feng-ying HE 
Supported by National Basic Research Program of China(973 Program,Grant No.2011CB808002);National Natural Sciences Fundation of China(Grant No.11371042);BNSF(No.1132006);Beijing Education Committee Foundation(No.CIT&TCD20130312);HNNSF(112300410251,132300410250,132300410084);KYTF of Henan Education Commitee(2011GGJS-210)
In this paper,the infinite Prandtl number limit of Rayleigh-B′enard convection is studied.For well prepared initial data,the convergence of solutions in L∞（0,t;H2（G）） is rigorously justified by analysis of asymp...
关键词：infinite Prandtl number limit Rayleigh-B^nard convection boussinesq system ASYMPTOTIC EXPANSIONS iterative techniques 
带有部分耗散和磁扩散的二维不可压MHD方程组解的正则性条件
《北京工业大学学报》2013年第1期143-148,152,共7页王术 白晋雄 
国家"973"计划资助项目(2011CB808002);北京市教育委员会基金资助项目(006000546312506);北京工业大学京华人才基金资助项目(006000543112500)
研究了带有部分耗散和磁扩散的二维不可压磁流体力学方程组解的正则性问题,给出带有混合部分耗散和磁扩散(速度场和磁场只有同一个方向上的二阶偏导数)的二维不可压Magnetohydrodynamics(MHD)方程组的一个整体正则性条件.证明了只要磁...
关键词：正则性 2D不可压Magnetohydrodynamic(MHD)方程组 无黏性极限 
On the ratio of different norms of caloric functions and related eigenfunctions of an integral operator
《Science China Mathematics》2012年第8期1597-1612,共16页DING YuTao 1,2,& ZHANG LiQun 1,2 1 Institute of Mathematics,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China 2 Hua Loo-Keng Key Laboratory of Mathematics,Chinese Academy of Sciences,Beijing 100190,China 
supported by National Natural Science Foundation of China(Grant No.10325104);the Innovation Program at Chinese Academy of Sciences and National Basic Research Program of China under(Grant No.2011CB808002)
We investigate the ratio of L 1 and L 2 norms of the Cauchy problem solutions of heat equations with compact support initial data.The related asymptotic behavior of the eigenvalues and eigenfunctions of certain integr...
关键词：integral operators EIGENVALUES heat equation 
NONTRIVIAL SOLUTIONS FOR ASYMPTOTICALLY LINEAR HAMILTONIAN SYSTEMS WITH LAGRANGIAN BOUNDARY CONDITIONS被引量：1
《Acta Mathematica Scientia》2012年第4期1545-1558,共14页刘春根 张清业 
Partially supported by NFS of China (11071127, 10621101);973 Program of STM (2011CB808002)
In this article, we study the existence of nontrivial solutions for a class of asymptotically linear Hamiltonian systems with Lagrangian boundary conditions by the Galerkin approximation methods and the L-index theory...
关键词：kLagrangian boundary conditions Hamiltonian systems asymptotically linear Maslov-type index 
Sharp Observability Inequalities for the 1-D Plate Equation with a Potential被引量：1
《Chinese Annals of Mathematics,Series B》2012年第1期91-106,共16页Xiaoyu FU 
supported by the National Natural Science Foundation of China (No. 10901114);the Doctoral Fund for New Teachers of the Ministry of Education of China (No. 20090181120084) ;the National Basic Research Program of China (No. 2011CB808002)
This paper deals with the problem of sharp observability inequality for the 1-D plate equation wtt ＋ wxxxx ＋ q（t, x）w = 0 with two types of boundary conditions w = wxx = 0 or w = wx = 0, and q（t, x） being a suit...
关键词：Observability inequality Plate equation Point-wise estimate Carlemanestimate 
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