国家重点基础研究发展计划(2006CB805902)

作品数：32被引量：39H指数：3
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对流扩散方程GLxF格式解的局部振荡
《数学的实践与认识》2013年第18期210-222,共13页杨继昌 沈柳平 
973项目"流体力学与材料科学中的偏微分方程"(2006CB805902)
提出了对流扩散方程ut+aux=εuxx,a∈R,ε>0的GLxF格式,给出GLxF格式的稳定与收敛条件,并讨论了该格式与其它常用格式的关系.然后在稳定及收敛条件下,通过特殊的初始数据离散化数值图例说明了GLxF格式解的局部振荡,提出振荡可控的三个猜...
关键词：对流扩散方程 GLxF格式 振荡 傅里叶分析 修正方程分析 
The Cauchy problem of generalized Landau-Lifshitz equation into S^n被引量：2
《Science China Mathematics》2013年第2期283-300,共18页SONG Chong YU Jie 
supported by National Basic Research Program of China(Grant No.2006CB805902)
In this paper,we study the Cauchy problem of an integrable evolution system,i.e.,the n-dimensional generalization of third-order symmetry of the well-known Landau-Lifshitz equation.By rewriting this equation in a geom...
关键词：generalized Landau-Lifshitz geometric energy method 
可压缩非守恒型两相流模型的GKS方法
《计算物理》2012年第1期51-57,共7页佘邦伟 赵桂萍 
国家973计划(2006CB805902);中国工程物理研究院面上基金(2009B0202021)资助项目
提出一种求解BN非守恒型两相流模型的方法.从微观角度出发,构造与BN模型相匹配的Gas-kineticscheme(GKS),通过对粒子速度分布函数积分求矩得到通量,把非守恒项直接包含到数值通量的演化和构造中,较好地处理了方程中包含的非守恒项.数值...
关键词：两相流 GKS 非守恒型 KFVS 
Stability of planar diffusion wave for nonlinear evolution equation
《Science China Mathematics》2012年第2期337-352,共16页He Cheng Huang FeiMin Yong Yan 
supported in part by National Basic Research Program of China (GrantNo. 2006CB805902);supported in part by National Natural Science Foundation of China for Distinguished Youth Scholar (Grant No. 10825102);NSFC-NSAF (Grant No. 10676037);National Basic Research Program of China (Grant No. 2006CB805902)
It is known that the one-dimensional nonlinear heat equation ut = f(u)x1x1,f'(u) > 0,u(±∞,t) = u±,u+ = u_ has a unique self-similar solution u(x1/1+t).In multi-dimensional space,u(x1/1+t) is called a planar diffusi...
关键词：STABILITY PLANAR DIFFUSION WAVE nonlinear EVOLUTION EQUATION 
Stability of planar diffusion wave for nonlinear evolution equation Dedicated to the NSFC-CNRS Chinese-French summer institute on fluid mechanics in 2010被引量：3
《Science China Mathematics》2012年第1期337-352,共16页HE Cheng HUANG FeiMin YONG Yan 
Acknowledgements He＇s research is supported in part by National Basic Research Program of China （Grant No. 2006CB805902）. Huang＇ research is supported in part by National Natural Science Foundation of China for Distinguished Youth Scholar （Grant No. 10825102）, NSFC-NSAF （Grant No. 10676037） and National Basic Research Program of China （Grant No. 2006CB805902）.
It is known that the one-dimensional nonlinear heat equation ut ： f（u）x1x1, f＇（u） 〉 0, u（±∞, t） ： u, u＋ ≠ u- has a unique self-similar solution u（x1/√1＋t）. In multi-dimensional space, （x1/√1＋t） i...
关键词：STABILITY planar diffusion wave nonlinear evolution equation 
SchrSdinger Soliton from Lorentzian Manifolds被引量：1
《Acta Mathematica Sinica,English Series》2011年第8期1455-1476,共22页Chong SONG You De WANG 
In this paper, we introduce a new notion named as SchrSdinger soliton. The so-called SchrSdinger solitons are a class of solitary wave solutions to the SchrSdinger flow equation from a Riemannian manifold or a Lorentz...
关键词：Schr6dinger soliton Schr6dinger flow wave map Killing potential 
低温等离子模型中的一个混合型方程的闭Dirichlet问题
《数学年刊（A辑）》2011年第2期245-256,共12页屈爱芳 
国家自然科学基金(No.10531020);973计划(No.2006CB805902)资助的项目
描述理想的低温等离子体中电磁波传播的模型是一个椭圆双曲混合型方程.证明了该方程闭Dirichlet问题弱解的存在唯一性.该结果关于区域的几何结构要求较少.由于这里所讨论的方程的奇异性与Keldysh方程的奇异性有相似性质,而后者的奇异性...
关键词：低温等离子体模型 双曲椭圆混合型方程 闭边值问题 内正则性 
PARTIAL COMPACTNESS FOR LANDAU-LIFSHITZ MAXWELL EQUATION IN TWO-DIMENSION被引量：1
《Acta Mathematica Scientia》2011年第2期727-748,共22页寇艳蕾 丁时进 
supported by the National Natural Science Foundation of China (10471050);Guangdong Provincial Natural Science Foundation (031495);National 973 Project (2006CB805902)
We study the partial regularity of weak solutions to the 2-dimensional Landau- Lifshitz equations coupled with time dependent Maxwell equations by Ginzburg-Landau type approximation. Outside an energy concentration se...
关键词：Landau-Lifshitz-Maxwell equations ginzburg-landau approximations Haus-dorff measure partial regularity 
Weighted L^p-estimates for Stokes flow in R_+~n with applications to the non-stationary Navier-Stokes flow被引量：4
《Science China Mathematics》2011年第3期573-586,共14页HE Cheng1 & WANG LiZhen21Division of Mathematics, Department of Mathematical and Physical Sciences, National Natural Science Foundation of China, Beijing 100085, China 2Department of Mathematics and Center for Nonlinear Studies, Northwest University, Xi’an 710069, China 
supported in part by National Basic Research Program of China (Grant No. 2006CB805902);Knowledge Innovation Funds of Chinese Academy of Sciences(Grant No. KJCX3-SYW-S03);supported in part by Scientific Research Plan Projects of Shaanxi Education (Grant No. 09JK770);China Postdoctoral Science Foundation (Grant No. 20090461305)
We study the time-decay properties of weighted norms of solutions to the Stokes equations and the Navier-Stokes equations in the half-space Rn+ (n 2). Three kinds of the weighted Lp-Lr estimates are established for th...
关键词：Navier-Stokes flow Stokes flow weighted estimate 
STABILITY OF VISCOUS CONTACT WAVE FOR COMPRESSIBLE NAVIER-STOKES SYSTEM OF GENERAL GAS WITH FREE BOUNDARY被引量：7
《Acta Mathematica Scientia》2010年第6期1906-1916,共11页黄飞敏 王勇 翟晓云 
supported in part by NSFC (10825102) for distinguished youth scholar;NSFC-NSAF (10676037);973 project of China(2006CB805902)
In this paper, we study the large time behavior of solutions to the nonisentropic Navier-Stokes equations of general gas, where polytropic gas is included as a special case, with a free boundary. First we construct a ...
关键词：Navier-Stokes equations contact discontinuity viscous contact wave 
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