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Applied Mathematics A Journal of Chinese Universities  2017, Vol. 32 Issue (3): 353-360    DOI:
    
The bifurcation and transition for the granulation
LI Jun-yan, LI Hai-yan
Jincheng College of Sichuan University, Chengdu 611731, China
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Abstract  By using the spectrum theory of the linear completely continuous fields and transition theory, the bifurcation and transition of the solar granulation are studied and the existence of granulation is verified. With certain assumption, the eigenvalues, eigenvectors and bifurcation solution are obtained. Finally, the estimation of diameter for granulation is obtained from the model, which can fit the actual data approximately.

Key wordssolar granulation      polar coordinates      the eigenvalues and eigenvectors      transition     
Received: 08 April 2016      Published: 07 April 2018
CLC:  O175.2  
Cite this article:

LI Jun-yan, LI Hai-yan. The bifurcation and transition for the granulation. Applied Mathematics A Journal of Chinese Universities, 2017, 32(3): 353-360.

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http://www.zjujournals.com/amjcua/     OR     http://www.zjujournals.com/amjcua/Y2017/V32/I3/353


米粒组织的分歧与跃迁

运用线性全连续场的谱理论及跃迁理论讨论了太阳米粒组织的分歧和跃迁,并且从数学上证明了米粒组织的存在性. 同时在一定的假设条件下了, 得到了特征值,特征向量和分歧解的表达式. 最后根据模型给出了米粒组织直径的估计, 同时验证了该估计与实际数据基本相符.

关键词: 米粒组织,  极坐标,  特征值和特征向量,  跃迁 
[1] XU Xing-ye. Suffcient and necessary condition for the existence of positive entire solutions of a class of singular nonlinear polyharmonic equations#br#[J]. Applied Mathematics A Journal of Chinese Universities, 2017, 32(4): 403-412.