国家自然科学基金(11128102)

作品数：5被引量：11H指数：2
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BLOWUP CRITERION FOR THE COMPRESSIBLE FLUID-PARTICLE INTERACTION MODEL IN 3D WITH VACUUM被引量：3
《Acta Mathematica Scientia》2016年第4期1030-1048,共19页丁时进 黄炳远 卢友波 
supported by the National Basic Research Program of China(973 Program)(2011CB808002);the National Natural Science Foundation of China(11371152,11128102,11071086,and 11571117);the Natural Science Foundation of Guangdong Province(S2012010010408);the Foundation for Distinguished Young Talents in Higher Education of Guangdong(2015KQNCX095);the Major Foundation of Hanshan Normal University(LZ201403);the Scientific Research Foundation of Graduate School of South China Normal University(2014ssxm04)
In this article, we consider the blowup criterion for the local strong solution to the compressible fluid-particle interaction model in dimension three with vacuum. We establish a BKM type criterion for possible break...
关键词：Blowup criterion compressible fluid-particle interaction model VACUUM 
Global well-posedness for the dynamical Q-tensor model of liquid crystals被引量：2
《Science China Mathematics》2015年第6期1349-1366,共18页HUANG JinRui DING ShiJin 
supported by National Basic Research Program of China(973 Program)(Grant No.2011CB808002);National Natural Science Foundation of China(Grant Nos.11071086,11371152,11401439 and 11128102);the Natural Science Foundation of Guangdong Province(Grant No.S2012010010408);the Foundation for Distinguished Young Talents in Higher Education of Guangdong(Grant No.2014KQNCX162);the University Special Research Foundation for Ph.D Program(Grant No.20104407110002);the Science Foundation for Young Teachers of Wuyi University(Grant No.2014zk06)
We consider a complex fluid modeling nematic liquid crystal flows, which is described by a system coupling Navier-Stokes equations with a parabolic Q-tensor system. We first prove the global existence of weak solution...
关键词：dynamical tensor Stokes parabolic nematic viscosity Navier estimates uniqueness proof 
Global existence for slightly compressible hydrodynamic flow of liquid crystals in two dimensions被引量：1
《Science China Mathematics》2013年第11期2233-2250,共18页DING ShiJin HUANG JinRui LIN JunYu 
supported by National Basic Research Program of China(973 Program)(Grant No.2011CB808002);National Natural Science Foundation of China(Grant Nos.11001085,11071086 and 11128102);the University Special Research Foundation for PhD Program(Grant No.20104407110002);the PhD Programs Foundation of Ministry of Education of China(Grant No.20100172120026);the Fundamental Research Funds for the Central Universities(Grant No.2012ZZ0075)
In two dimensions, we study the compressible hydrodynamic flow of liquid crystals with periodic boundary conditions. As shown by Ding et al. （2013）, when the parameter λ→∞ oo, the solutions to the compressible li...
关键词：liquid crystals slightly compressible global existence 
液晶模型的分析理论被引量：5
《华南师范大学学报（自然科学版）》2013年第3期1-7,共7页丁时进 
国家重点基础研究发展计划项目("973"计划;2011CB808002);国家自然科学基金项目(11071086);国家自然科学基金海外与港澳学者合作研究基金项目(11128102);教育部博士点基金项目(20104407110002);广东省自然科学基金项目(S2012010010408)
对于上世纪80年代中期以来液晶模型的数学理论方面的研究进行了综述.首先论述了静态模型的研究进展,其中包括经典的Oseen-Frank理论、Ericksen理论以及最近成为研究热点的Q-tensor理论,重点介绍其中的变分问题极小元的存在性和奇性分析...
关键词：液晶模型 数学理论 Ericksen理论 Ericksen—Leslie理论 Landau—de Gennes理论 
Robin Boundary Value Problem for One-Dimensional Landau–Lifshitz Equations
《Acta Mathematica Sinica,English Series》2012年第10期2033-2066,共34页Shi Jin DING Jin Rui HUANG Xiao E LIU 
Supported by National Basic Research Program of China (973 Program) (Grant No. 2011CB808002);National Natural Science Foundation of China (Grant Nos. 11071086 and 11128102);the University Special Re-search Foundation for Ph.D. Program (Grant No. 20104407110002)
In this paper, we are concerned with the existence and uniqueness of global smooth solu- tion for the Robin boundary value problem of Landau Lifshitz equations in one dimension when the boundary value depends on time ...
关键词：Landau-Lifshitz equation Robin boundary value problem EXISTENCE UNIQUENESS smooth solution. 
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