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[1] Zhou Hua, Tang Jian,. Some properties and structures of solutionsof the swift-Hohenberg equation [J]. Journal of Southeast University (English Edition), 2003, 19 (3): 301-306. [doi:10.3969/j.issn.1003-7985.2003.03.020]
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Some properties and structures of solutionsof the swift-Hohenberg equation()
Swift-Hohenberg方程解的一些性质与结构
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Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:
19
Issue:
2003 3
Page:
301-306
Research Field:
Mathematics, Physics, Mechanics
Publishing date:
2003-09-30

Info

Title:
Some properties and structures of solutionsof the swift-Hohenberg equation
Swift-Hohenberg方程解的一些性质与结构
Author(s):
Zhou Hua1, Tang Jian2
1Department of Mathematics and Physics, Nanjing University of Posts and Telecommunications, Nanjing 210003, China
2Department of Mathematics, Nanjing University of Technology, Nanjing 210009, China
周华1, 唐健2
1南京邮电学院应用数理系, 南京 210003; 2南京工业大学数学系, 南京 210003
Keywords:
shooting technique;  Swift-Hohenberg equation;  critical point;  periodic solution
打靶性;  Swift-Hohenberg方程;  临界点;  周期解
PACS:
O175.12
DOI:
10.3969/j.issn.1003-7985.2003.03.020
Abstract:
Stationary even periodic solutions of the Swift-Hohenberg equation are analyzed for the critical parameter k=1, and it is proved that there exist periodic solutions having the same energy as the constant solution u=0. For k≤ 0, some qualitative properties of the solutions are also proved.
讨论了Swift-Hohenberg方程在临界参数k=1时的静止偶周期解, 证明了其具有与非平凡解u=0相同能量的偶周期解的存在性.对k是非正的情形本文也证明了方程解的一些定性性质.

References:

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Memo

Memo:
Biography: Zhou Hua(1965—), female, lecturer, zhoumo-nj@yahoo.com.cn.
Last Update: 2003-09-20