国家自然科学基金(Z6100217)

作品数：7被引量：10H指数：2
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Global Well-Posedness and Scattering for the Defocusing H^s-Critical NLS
《Chinese Annals of Mathematics,Series B》2013年第6期801-842,共42页Jian XIE Daoyuan FANG 
supported by the National Natural Science Foundation of China(Nos.10931007,11226184,11271322);the Zhejiang Provincial Natural Science Foundation of China(No.Z6100217)
The authors consider the scattering phenomena of the defocusing H^s-critical NLS.It is shown that if a solution of the defocusing NLS remains bounded in the critical homogeneous Sobolev norm on its maximal interval of...
关键词：Nonlinear SchrSdinger equation SCATTERING Global well-posedness 
Wellposedness for anisotropic rotating fluid equations
《Applied Mathematics(A Journal of Chinese Universities)》2012年第1期9-33,共25页FANG Dao-yuan WANG Su-mei ZHANG Ting 
Supported by NSFC(10871175,10931007,10901137);Zhejiang Provincial Natural Science Foundation of China(Z6100217);Program for New Century Excellent Talents in University
The weUposedness problem for an anisotropic incompressible viscous fluid in R3, ro- tating around a vector B（t, x） ：= （b1 （t, x）, b2 （t, x）, b3 （t, x））, is studied. The global wellposedness in the homogeneo...
关键词：the anisotropic Navier-Stokes-Coriolis equation WELLPOSEDNESS anisotropic. 
Regularity of the Koch-Tataru solutions to Navier-Stokes system
《Science China Mathematics》2012年第2期453-464,共12页Zhang Ping Zhang Ting 
support from the center.P.Zhang is partially supported by National Natural Science Foundation of China(Grant Nos.10421101 and 10931007);the innovation grant from the Chinese Academy of Sciences(Grant No.GJHZ200829);supported by the Program for New Century Excellent Talents in University,National Natural Science Foundation of China(Grant Nos.10871175,10931007 and 10901137);the Zhejiang Provincial Natural Science Foundation of China(Grant No.Z6100217)
In this paper,we shall prove that the Koch-Tataru solution u to the incompressible Navier-Stokes equations in Rd satisfies the decay estimates involving some borderline Besov norms with d 3.Moreover,u has a unique tra...
关键词：NAVIER-STOKES EQUATIONS LITTLEWOOD-PALEY theory trajectories 
Large time behavior of solutions to 3D compressible Navier-Stokes-Poisson system被引量：8
《Science China Mathematics》2012年第1期159-177,共19页LI HaiLiang ZHANG Ting 
partially supported by National Natural Science Foundation of China(Grant Nos.10871134,11011130029);the Huo Ying Dong Foundation (Grant No.111033);the Funding Project for Academic Human Resources Development in Institutions of Higher Learning Under the Jurisdiction of Beijing Municipality (Grant No.PHR201006107);partially supported by National Natural Science Foundation of China (Grant Nos.10871175,10931007,10901137);Zhejiang Provincial Natural Science Foundation of China (Grant No.Z6100217);Specialized Research Fund for the Doctoral Program of Higher Education (Grant No.20090101120005)
We consider the three-dimensional compressible Navier-Stokes-Poisson system where the electric field of the internal electrostatic potential force is governed by the self-consistent Poisson equation.If the Fourier mod...
关键词：compressible Navier-Stokes-Poisson system optimal decay rate 
On the Well-Posedness for Stochastic Schrodinger Equations with Quadratic Potential
《Chinese Annals of Mathematics,Series B》2011年第5期711-728,共18页Daoyuan FANG Linzi ZHANG Ting ZHANG 
supported by the National Natural Science Foundation of China (Nos. 10871175,10931007,10901137);the Zhejiang Provincial Natural Science Foundation of China (No. Z6100217);the Specialized ResearchFund for the Doctoral Program of Higher Education (No. 20090101120005)
The authors investigate the influence of a harmonic potential and random perturbations on the nonlinear Schr6dinger equations. The local and global well-posedness are proved with values in the space ∑（R^n）={f E HI...
关键词：Stochastic SchrSdinger equation WELL-POSEDNESS Blow up 
On the well-posedness for stochastic fourth-order Schrdinger equations
《Applied Mathematics(A Journal of Chinese Universities)》2011年第3期307-318,共12页FANG Dao-yuan ZHANG Lin-zi ZHANG Ting 
Supported by NSFC (10871175,10931007,10901137);Zhejiang Provincial Natural Science Foundation of China (Z6100217);SRFDP (20090101120005)
The influence of the random perturbations on the fourth-order nonlinear SchrSdinger equations,iut＋△^2u＋ε△u＋λ｜u｜^p-1u=ξ,（t,x）∈R^＋×R^n,n≥1,ε∈{-1,0,＋1},is investigated in this paper. The local well-pos...
关键词：Stochastic fourth-order Schrodinger equation WELL-POSEDNESS global existence 
The Nonlinear Schrdinger Equations with Combined Nonlinearities of Power-Type and Hartree-Type被引量：2
《Chinese Annals of Mathematics,Series B》2011年第3期435-474,共40页Daoyuan FANG Zheng HAN Jialing DAI 
Project supported by the National Natural Science Foundation of China(Nos.10871175,10931007);the Zhejiang Provincial Natural Science Foundation of China(No.Z6100217)
The primary goal of this paper is to present a comprehensive study of the nonlinear Schrodinger equations with combined nonlinearities of the power-type and Hartreetype. Under certain structural conditions, the author...
关键词：Global well-posedness SCATTERING BLOWUP Morawetz estimates Perturbation principles 
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