国家自然科学基金(10421101)

作品数：7被引量：9H指数：2
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Projective Dirichlet Boundary Condition with Applications to a Geometric Problem
《Acta Mathematica Sinica,English Series》2016年第1期11-24,共14页Min JI 
Supported by NSFC Innovation Grant(Grant No.10421101)
Given a domain Ω R^n, let λ 〉 0 be an eigenvalue of the elliptic operator L ：= ∑i,j^n= 1δ/δxi on Ω for Dirichlet condition. For a function f ∈ L2（Ω）, it is known that the linear resonance equation Lu ＋ ...
关键词：Elliptic resonance equation nonlinear boundary condition convex indicatrix mean tor-sion 
Generalized Symplectic Mean Curvature Flows in Almost Einstein Surfaces
《Chinese Annals of Mathematics,Series B》2014年第1期33-50,共18页Jiayu LI Liuqing YANG 
Project supported by the National Natural Science Foundation of China(Nos.11071236,11131007,10421101)
The authors mainly study the generalized symplectic mean curvature flow in an almost Einstein surface,and prove that this flow has no type-I singularity.In the graph case,the global existence and convergence of the fl...
关键词：Almost Einstein Symplectic mean curvature flow SINGULARITY Minimalsurface 
Global Smooth Solutions to the 2-D Inhomogeneous Navier-Stokes Equations with Variable Viscosity被引量：3
《Chinese Annals of Mathematics,Series B》2009年第5期607-630,共24页Guilong GUI Ping ZHANG 
Project supported by the National Natural Science Foundation of China (Nos.10525101,10421101);the 973 project of the Ministry of Science and Technology of China;the innovation grant from Chinese Academy of Sciences
Under the assumptions that the initial density ρ0 is close enough to 1 and ρ0-1∈Hs+1(R2);u0∈Hs(R2)∩H_∈(R2) for s>2 and 0<ε<1;the authors prove the global existence and uniqueness of smooth solutions to the 2-D ...
关键词：Inhomogeneous Navier-Stokes equations Littlewood-Paley theory Global smooth solutions 
On the structure of Fatou domains被引量：1
《Science China Mathematics》2008年第7期1167-1186,共20页CUI GuiZhen PENG WenJuan 
supported by the National Basic Research Programme of China (Grant No.2006CB805903);the National Natural Science Foundation of China (Grant No.10421101)
Let U be a multiply-connected fixed attracting Fatou domain of a rational map f.We prove that there exist a rational map g and a completely invariant Fatou domain V of g such that(f,U) and(g,V) are holomorphically con...
关键词：quasi-conformal surgery PUZZLES quasi-conformally conjugate invariant line fields 37F12 
关于Fatou域的结构
《中国科学（A辑）》2008年第6期666-686,共21页崔贵珍 彭文娟 
国家重点基础研究发展计划(批准号:2006CB805903);国家自然科学基金(批准号:10421101)
给定有理函数f的一个不变的多连通吸性域U,我们证明存在一个有理函数g和它的一个完全不变的Fatou域V,使得(f,U)和(g,V)是全纯共轭的,而且g的Julia集的每个非平凡分支都是拟圆周,其内部是一个最多包含一个后临界轨道点的最终超吸性域.进...
关键词：拟共形手术 拼图片 拟共形共轭 不变线域 
Remark on the Regularities of Kato's Solutions to Navier-Stokes Equations with Initial Data in L^d(R^d)被引量：3
《Chinese Annals of Mathematics,Series B》2008年第3期265-272,共8页Ping ZHANG 
the National Natural Science Foundation of China(Nos.10525101,10421101);the 973 Project of the Ministry of Science and Technology of China and the innovation grant from Chinese Academy of Sciences.
Motivated by the results of J. Y. Chemin in ＂J. Anal. Math., 77, 1999, 27- 50＂ and G. Furioli et al in ＂Revista Mat. Iberoamer., 16, 2002, 605-667＂, the author considers further regularities of the mild solutions ...
关键词：Navier-Stokes equations Kato＇s solutions Para-differential decomposition 
On the local wellposedness of 3-D water wave problem with vorticity被引量：2
《Science China Mathematics》2007年第8期1065-1077,共13页Ping ZHANG~1 Zhi-fei ZHANG~2 1 Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100080,China 2 School of Mathematical Sciences,Peking University,Beijing 100871,China 
the National Natural Science Foundation of China(Grant Nos.10525101,10421101 and 10601002);the innovation grant from Chinese Academy of Sciences
In this article, we first present an equivalent formulation of the free boundary problem to 3-D incompressible Euler equations, then we announce our local wellposedness result concerning the free boundary problem in S...
关键词：WATER-WAVES free boundary incompressible Euler equations primary 35Q35 76B03 secondary 35J67 35L80 
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