国家自然科学基金(2003110005)

作品数:5被引量:13H指数:2
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相关作者:张瑞凤更多>>
相关机构:河南大学更多>>
相关期刊:《Chinese Quarterly Journal of Mathematics》《Journal of Partial Differential Equations》《Applied Mathematics and Mechanics(English Edition)》更多>>
相关主题:GLOBAL_ATTRACTOREQUATIONGLOBAL_SOLUTIONCLASSTYPE更多>>
相关领域:理学更多>>
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Existence of Global Attractor for LS Type Equations
《Journal of Mathematical Research and Exposition》2006年第4期708-714,共7页张瑞凤 
the Natural Science Foundation of Henan Educational Committee(2003110005)
The global attractor problem of the long-short wave equations with periodic boundary condition was studied. The existence of global attractor of this problem was proved by means of a uniform a priori estimate for time.
关键词:long-short wave equations a priori estimate global attractor. 
GLOBAL ATTRACTOR FOR HASEGAWA-MIMA EQUATION被引量:2
《Applied Mathematics and Mechanics(English Edition)》2006年第5期567-574,共8页张瑞凤 郭柏灵 
Project supported by the Natural Science Foundation of Henan Educational Committee of China(No.2003110005)
The long time behavior of solution of the Hasegawa-Mima equation with dissipation term was considered. The global attractor problem of the Hasegawa-Mima equation with initial periodic boundary condition was studied. A...
关键词:Hasegawa-Mima equation a priori estimate global attractor Hausdorff and fractal dimensions 
The Global Solution for a Class of Dissipative Hasegawa-Mima Equation被引量:6
《Chinese Quarterly Journal of Mathematics》2005年第4期360-366,共7页张瑞凤  李瑞阁  
Supported by the Natural Science Foundation of Henan Educational Committee(2003110005);Supported by the Natural Science Foundation of Henan University(XK02069)
Applying the integral a priori estimates method, the existence and uniqueness ofthe global solution for the dissipative Hasegawa-Mima equation with initial periodic bound-ary condition was proved.
关键词:Hasegawa-Mima equation a priori estimate global solution 
GLOBAL SOLUTION AND ITS LONG TIME BEHAVIOR FOR THE GENERALIZED LONG-SHORT WAVE EQUATIONS被引量:6
《Journal of Partial Differential Equations》2005年第3期206-218,共13页Zhang Ruifeng Guo Boling 
Supported by the Natural Science Foundation of Henan Educational Committee (2003110005) and Henan University (XK02069).
The long time behavior of the solutions of the generalized long-short wave equations with dissipation term is studied. The existence of global attractor of the initial periodic boundary value is proved by means of a u...
关键词:The generalized long-short wave equations a uniform priori esti-mate global attractor Hausdorff dimension fractal dimension. 
Pseudo-spectral Approximations for a Class of the Kdv-Burgers Type Equation
《Chinese Quarterly Journal of Mathematics》2004年第3期267-272,共6页ZHANGRui-feng YANGHui 
Supported by the Natural Science Foundation of Henan Educational Committee(2003110005);Supported by the Natural Science Foundation of Henan University(XK02069)
In this paper, the pseudo-spectral approximations for a class of the Kdv-Burgers type equation is presented. Convergence and stability of the approximation have been proved by Sobolev's inequalities and the bounded ex...
关键词:Kdv-Burgers equation pseudo-spectral scheme numerical experiments 
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