国家自然科学基金(10676037)

作品数：6被引量：8H指数：1
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相关作者：黄飞敏于慧敏更多>>
相关机构：中国科学院数学与系统科学研究院更多>>
相关期刊：《Science China Mathematics》《Acta Mathematicae Applicatae Sinica》《Acta Mathematica Scientia》更多>>
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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 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 
BOUNDARY LAYER SOLUTION FOR p-SYSTEM WITH ARTIFICIAL VISCOSITY被引量：1
《Acta Mathematica Scientia》2009年第5期1233-1240,共8页秦晓红 
Partially supported by NSFC-NSAF (10676037) and NUST
An initial-boundary values problem in the half space （0, ∞ ） for p-system with artificial viscosity is investigated. It is shown that there exists a boundary layer solution. It is further proved that the boundary l...
关键词：P-SYSTEM boundary layer solution large perturbation 
TWO PROBLEMS OF HERMITE ELLIPTIC EQUATIONS
《Acta Mathematica Scientia》2009年第2期409-414,共6页黄飞敏 
supported in part by NSFC (10471138);NSFC-NSAF (10676037);973 project of China (2006CB805902)
In this article, the author investigates some Hermite elliptic equations in a modified Sobolev space introduced by X. Ding [2]. First, the author shows the existence of a ground state solution of semilinear Hermite el...
关键词：Hermite elliptic equation modified Sobolev space eigenvalue problem 
Boundary Layer to a System of Viscous Hyperbolic Conservation Laws
《Acta Mathematicae Applicatae Sinica》2008年第3期523-528,共6页Xiao-hong Qin 
the National Natural Science Foundation of China(No.10676037)
In this paper, we investigate the large-time behavior of solutions to the initial-boundary value problem for n × n hyperbolic system of conservation laws with artificial viscosity in the half line （0, ∞）. We first...
关键词：Viscous hyperbolic conservation laws boundary layer asymptotic stability 
Euler-Possion半导体模型的大时间行为
《中国科学（A辑）》2008年第4期429-436,共8页黄飞敏 潘荣华 于慧敏 
国家自然科学基金(批准号：10471138);NSFC-NSAF(批准号：10676037);科技部国家重点基础研究发展规划(批准号：2006CB805902)资助项目;潘荣华受美国自然科学基金(批准号：DMS-0505515)资助项目
本文研究了Euler-Poisson半导体模型弱熵解的大时间行为,得到了一致有界的弱熵解随着时间t指数衰减到稳态解.本文的结果不需要假定解是"小"的,也不需要假定解的正则性.
关键词：大时间行为 Euler-Possion方程组 半导体模型 熵 
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