## 留言板

 引用本文: 陆启韶, 蒋正新. 液面的分叉与稳定性分析[J]. 应用数学和力学, 1987, 8(8): 697-706.
Lu Qi-shao, Jiang Zheng-xin. Bifurcation and Stability Analysis for Liquid Surfaces[J]. Applied Mathematics and Mechanics, 1987, 8(8): 697-706.
 Citation: Lu Qi-shao, Jiang Zheng-xin. Bifurcation and Stability Analysis for Liquid Surfaces[J]. Applied Mathematics and Mechanics, 1987, 8(8): 697-706.

## Bifurcation and Stability Analysis for Liquid Surfaces

• 摘要: 本文讨论液体层在内聚力以及液体与外界相互作用下,其表面形状出现的一类分叉现象。利用分叉的基本理论,我们得到了这类现象产生的必要条件。接着,我们给出了在分叉点附近的奇异摄动解。最后,利用极小势能原理讨论了分叉解的稳定性。
•  [1] Fusco,G.,An example of bifurcation in hydrodynamics,Nonlinear Differential Equations:Invariance.Stability,and Bifurcation,ed.by P.De Mottoni and L.Salvadori,Academic Press(1981),145-159. [2] Crandall,M.G.and P.H.Rabinowitz,Bifurcation from simple eigenvalues,J Funa Anal.,8(1971),321-340. [3] Sattinger D.H.,Topics in Stability and Bifurcation Theory,Springer-Verlag (1976). [4] Chow.S.N.and J.K.Hale,Methods of Bifurcation Theory,Springer-Verlag (1982). [5] Crandall,M.G.and P.H.Rabinowitz,Bifurcation,perturbation of simple eigenvalues,and linearized stability,Arch.Rat.Mech.Anal.,52 (1973),161-180. [6] Weinberger.H.F.,On the stabillty of bifurcating solution,Nonlinear Analysis,ed.by L.Cesari et al.,Academic Press (1978),219-233．

##### 计量
• 文章访问数:  1438
• HTML全文浏览量:  27
• PDF下载量:  438
• 被引次数: 0
##### 出版历程
• 收稿日期:  1986-05-19
• 刊出日期:  1987-08-15

/

• 分享
• 用微信扫码二维码

分享至好友和朋友圈