国家自然科学基金(10771167)

作品数：5被引量：5H指数：2
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相关作者：李开泰林彬更多>>
相关机构：西安交通大学更多>>
相关期刊：《Acta Mathematica Sinica,English Series》《兰州大学学报（自然科学版）》《Applied Mathematics and Mechanics(English Edition)》《Acta Mathematica Scientia》更多>>
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Hodograph method of flow on two-dimensional manifold
《Applied Mathematics and Mechanics(English Edition)》2010年第3期363-376,共14页李开泰 史峰 
Project supported by the National Natural Science Foundation of China (Nos. 10971165, 10771167,and 10926080)
For some special flows, especially the potential flow in a plane, using the hodograph method has obvious advantages. Realistic flows have a stream surface, namely, a two-dimensional manifold, on which the velocity vec...
关键词：hodograph method potential flow stream surface stream function potential function 
求解非线性微分方程的微分变换方法被引量：2
《兰州大学学报（自然科学版）》2009年第6期132-135,共4页林彬 李开泰 
Supported by the National Natural Science Foundation of China(10771167)
用微分变换方法来解非线性微分方程,通过求解生物学方面的非线性微分方程模型的几个实例来验证这个方法的准确性和有效性.
关键词：非线性微分方程 微分变换方法 (1+3)维Burgers方程 
EXISTENCE OF GLOBAL ATTRACTORS FOR A NONLINEAR EVOLUTION EQUATION IN SOBOLEV SPACE H^k被引量：2
《Acta Mathematica Scientia》2009年第5期1165-1172,共8页张引娣 李开泰 
Sponsored by the NSFC(10571142,10771167)
In this paper we prove that the initial-boundary value problem for the nonlinear evolution equation ut = △u ＋ λu - u^3 possesses a global attractor in Sobolev space H^k for all k≥0, which attracts any bounded doma...
关键词：semigroup of operator global attractor evolution equation regularity of attractor 
The Existence of Global Attractors for 2D Navier-Stokes Equations in H^k Spaces被引量：2
《Acta Mathematica Sinica,English Series》2009年第1期51-58,共8页Yin Di ZHANG Ling Yu SONG Tian MA 
Supported by the NSF of China (Nos. 10571142, 10771167)
In this paper, we prove that the 2D Navier-Stokes equations possess a global attractor in Hk（Ω,R2） for any k ≥ 1, which attracts any bounded set of Hk（Ω,R2） in the H^k-norm. The result is established by means o...
关键词：Navier-Stokes equations semigroup of operator global attractor regularity of attractor 
Geometric shapes of the interface surface of bicomponent flows between two concentric rotating cylinders
《Applied Mathematics and Mechanics(English Edition)》2008年第10期1363-1376,共14页李开泰 史峰 
the National Natural Science Foundation of China(Nos.10571142,10771167)
In this paper, the shape problem of interface of bicomponent flows between two concentric rotating cylinders is investigated. With tensor analysis, the problem is reduced to an energy functional isoperimetric problem ...
关键词：bicomponent flow interface surface Navier-Stokes equations concentric rotating cylinders 
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