国家自然科学基金(11031001)

作品数:9被引量:12H指数:2
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相关作者:陈恕行赵伟霞更多>>
相关机构:复旦大学更多>>
相关期刊:《Communications in Computational Physics》《Acta Mathematica Scientia》《Chinese Annals of Mathematics,Series B》《数学物理学报(A辑)》更多>>
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Global Well-Posedness of Incompressible Navier-Stokes Equations with Two Slow Variables
《Chinese Annals of Mathematics,Series B》2017年第3期787-794,共8页Weimin PENG Yi ZHOU 
supported by the National Natural Science Foundation of China(Nos.11471215,11031001,11121101,11626156);Shanghai Leading Academic Discipline Project(No.XTKX2012);the Key Laboratory of Mathematics for Nonlinear Sciences(Fudan University);the Ministry of Education of China,Shanghai Key Laboratory for Contemporary Applied Mathematics,School of Mathematical Sciences,Fudan University and 111 Program of MOE,China(No.B08018)
In this paper, the global well-posedness of the three-dimensional incompressible Navier-Stokes equations with a linear damping for a class of large initial data slowly varying in two directions are proved by means of ...
关键词:Global well-posedness Incompressible Navier-Stokes equations Slow variables 
Generalized Riemann problem for Euler system Dedicated to Professor LI TaTsien on the Occasion of His 80th Birthday
《Science China Mathematics》2017年第4期581-592,共12页CHEN ShuXing LI DeNing 
supported by National Natural Science Foundation of China (Grant Nos. 11031001, 11101101 and 11421061)
This article is a survey on the progress in the study of the generalized Riemann problems for MD Euler system. A new result on generalized Riemann problems for Euler systems containing all three main nonlinear waves(s...
关键词:Euler system Riemann problem shock rarefaction wave contact discontinuity or vortex sheet 
ON LOCAL STRUCTURAL STABILITY OF ONE-DIMENSIONAL SHOCKS IN RADIATION HYDRODYNAMICS被引量:1
《Acta Mathematica Scientia》2015年第1期1-44,共44页唐平凡 方北香 王亚光 
supported by NNSF of China(10971134,11031001,91230102,11371250)
In this paper, we are concerned with the local structural stability of one-dimensional shock waves in radiation hydrodynamics described by the isentropic Euler-Boltzmann equations. Even though in this radiation hydrod...
关键词:radiation hydrodynamics Euler-Boltzmann equations Riemann problems shock waves 
Remapping-Free Adaptive GRP Method for Multi-Fluid Flows I:One Dimensional Euler Equations
《Communications in Computational Physics》2014年第4期1029-1044,共16页Jin Qi Yue Wang Jiequan Li 
supported by NSFC(91130021);Jin Qi is supported by NSFC(1171037,11201033);CAEP under project 2012A0202010;Jiequan Li is supported by NSFC(91130021,11371063,11031001);the Doctoral program from Educational Ministry(20130003110004);an open project from Institute of Applied Physics and Computational Mathematics,Beijing。
In this paper,a remapping-free adaptive GRP method for one dimensional(1-D)compressible flows is developed.Based on the framework of finite volume method,the 1-D Euler equations are discretized on moving volumes and t...
关键词:The GRP method multi-fluid flows the Euler equations the adaptive mesh method 
剥脱现象中的某个自由边值问题的整体经典解
《数学物理学报(A辑)》2013年第6期1001-1012,共12页赵伟霞 
国家自然科学基金重点项目“非线性双曲型与混合型偏微分方程”(11031001);教育部博士点基金“跨音速流与非线性混合型方程”(20090071110002)资助
考虑一个不带初始区间的自由边值问题,该问题产生于剥脱现象(Peeling Phenomenon)的物理模型.在一些物理模型中自然成立的条件下,证明了此问题局部经典解的存在唯一性.在两类有交集但不重合的假设条件下,证明了此问题整体经典解的存在...
关键词:剥脱现象 自由边值问题 整体解的存在唯一性 
高维非线性守恒律方程组被引量:1
《中国科学:数学》2013年第4期317-332,共16页陈恕行 
国家自然科学基金(批准号:11031001)资助项目
本文根据高维非线性守恒律方程组的研究历程将这一领域的研究大体分为四个阶段:局部经典解、具扇状波结构弱解、具花状波结构弱解、整体解与混合型方程.本文据此线索回顾与介绍多年来在该领域所获得的主要成果与进展,并提出今后所面临...
关键词:守恒律 自由边值问题 激波 跨音速流 双曲型方程 混合型方程 
Riemann boundary value problems and reflection of shock for the Chaplygin gas被引量:8
《Science China Mathematics》2012年第4期671-685,共15页CHEN ShuXing 1,& QU AiFang 2 1 School of Mathematical Sciences,Fudan University,Shanghai 200433,China 2 Wuhan Institute of Physics and Mathematics,Chinese Academy of Sciences,Wuhan 430071,China 
supported in part by National Natural Science Foundation of China(Grant No. 11031001);the Doctorial Foundation of National Educational Ministry (Grant No. 20090071110002);Tianyuan Fund of Mathematics (Grant No. 11126181)
In this paper,we study two-dimensional Riemann boundary value problems of Euler system for the isentropic and irrotational Chaplygin gas with initial data being two constant states given in two sectors respectively,wh...
关键词:Riemann boundary value problem reflection of shock Chaplygin gas wave interaction Eulersystem 
本刊英文版2012年55卷第4期摘要
《中国科学:数学》2012年第4期I0001-I0006,共6页
supported in part by National Natural Science Foundation of China(Grant No. 11031001);the Doctorial Foundation of National Educational Ministry (Grant No. 20090071110002);Tianyuan Fund of Mathematics (Grant No. 11126181)
In this paper,we study two-dimensional Riemann boundary value problems of Euler system for the isentropic and irrotational Chaplygin gas with initial data being two constant states given in two sectors respectively,wh...
关键词:英文版 摘要 编辑部 编辑工作 
Accuracy of the Adaptive GRP Scheme and the Simulation of 2-D Riemann Problems for Compressible Euler Equations被引量:2
《Communications in Computational Physics》2011年第8期577-606,共30页Ee Han Jiequan Li Huazhong Tang 
supported by the Key Program from Beijing Educational Commission(KZ200910028002);PHR(IHLB)and NSFC(10971142,11031001);supported by the National Basic Research Program under the Grant 2005CB321703;the National Natural Science Foundation of China(No.10925101,10828101);the Program for New Century Excellent Talents in University(NCET-07-0022);the Doctoral Program of Education Ministry of China(No.20070001036).
The adaptive generalized Riemann problem(GRP)scheme for 2-D compressible fluid flows has been proposed in[J.Comput.Phys.,229(2010),1448–1466]and it displays the capability in overcoming difficulties such as the start...
关键词:Adaptive GRP scheme 2-D Riemann problems collapse of a wedge-shaped dam spiral formation shock reflections vortex-shock interaction 
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