EXTREMALS OF THE GENERALIZED EULER-BERNOULLI ENERGY AND APPLICATIONS

被引：0
|
作者：
Garay, Oscar J. [1 ]
机构：
[1] Univ Basque Country, Fac Ciencia & Tecnol, Dept Matemat, Aptdo 644, E-48080 Bilbao, Spain
来源：
JOURNAL OF GEOMETRY AND SYMMETRY IN PHYSICS | 2008年 / 12卷
关键词：
D O I：
暂无
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this survey we describe a general method to deal with the variational problem associated to the generalized elastic curves, paying special attention to closed critical curves in real space forms due to its special geometric significance. We illustrate the method by studying particular choices of this energy in some more detail. Finally, we will review also some interesting applications of generalized elasticae to other higher dimensional variational problems in Physics, Biophysics and the Theory of Submanifolds.
引用
收藏
页码：27 / 61
页数：35
相关论文
共 50 条
  • [41] Control of a viscoelastic translational Euler-Bernoulli beam
    Berkani, Amirouche
    Tatar, Nasser-eddine
    Khemmoudj, Ammar
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (01) : 237 - 254
  • [42] Fragile points method for Euler-Bernoulli beams
    Malla, Abinash
    Natarajan, Sundararajan
    EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, 2024, 106
  • [43] Stability of a complex network of Euler-Bernoulli beams
    Tianjin University, Department of Mathematics, Tianjin 300072, China
    不详
    WSEAS Trans. Syst., 2009, 3 (379-389):
  • [44] Boundary stabilization of a hybrid Euler-Bernoulli beam
    Gorain, GC
    Bose, SK
    PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 1999, 109 (04): : 411 - 416
  • [45] PARAMETER-ESTIMATION FOR THE EULER-BERNOULLI BEAM
    KUNISCH, K
    GRAIF, E
    MATEMATICA APLICADA E COMPUTACIONAL, 1985, 4 (02): : 95 - 124
  • [46] Observer for Euler-Bernoulli beam with hydraulic drive
    Egeland, O
    Kristiansen, E
    Nguyen, TD
    PROCEEDINGS OF THE 40TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2001, : 4266 - 4267
  • [47] Stabilization of a viscoelastic rotating Euler-Bernoulli beam
    Berkani, Amirouche
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (08) : 2939 - 2960
  • [48] Euler－Bernoulli梁的反馈镇定
    冯德兴，张维弢
    自动化学报, 1996, (02) : 135 - 144
  • [49] Vibration of the Euler-Bernoulli beam with allowance for dampings
    Herrmann, Leopold
    WORLD CONGRESS ON ENGINEERING 2008, VOLS I-II, 2008, : 901 - 904
  • [50] Carleman estimates for the Euler-Bernoulli plate operator
    Albano, Paolo
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2000,
12345