On the classical solutions of the motion of an elastic string in an n-dimensional space

被引:1
|
作者
Manfrin, Renato [1 ]
机构
[1] Univ IUAV Venezia, Dipartimento Costruz Architettura, I-30135 Venice, Italy
关键词
elastic string; formation of singularities; quasilinear hyperbolic systems;
D O I
10.1142/S021989160700132X
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study the C-1 solutions of the motion of a perfectly elastic string in an n-dimensional space. We prove a result of formation of singularities and, in a particular case, we characterize the behavior of the global solutions.
引用
收藏
页码:705 / 728
页数:24
相关论文
共 50 条
  • [31] N-dimensional Auto-Backlund transformation and exact solutions to n-dimensional Burgers system
    Wang, Mingliang
    Zhang, Jinliang
    Li, Xiangzheng
    APPLIED MATHEMATICS LETTERS, 2017, 63 : 46 - 52
  • [32] ON N+2 POINTS IN N-DIMENSIONAL SPACE
    BOTTEMA, O
    AMERICAN MATHEMATICAL MONTHLY, 1964, 71 (03): : 284 - &
  • [33] N-DIMENSIONAL REDUCTIVE PERTURBATION METHOD - CLASSICAL FLUID
    GIAMBO, S
    GRECO, A
    PANTANO, P
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1979, 288 (01): : 85 - 88
  • [34] FACTORING OF N-DIMENSIONAL SPACE IN CONGRUENT SIMPLEXES
    BAUMGARTNER, L
    MATHEMATISCHE NACHRICHTEN, 1971, 48 (1-6) : 213 - +
  • [35] Rectifying curves in the n-dimensional Euclidean space
    Cambie, Stijn
    Goemans, Wendy
    Van den Bussche, Iris
    TURKISH JOURNAL OF MATHEMATICS, 2016, 40 (01) : 210 - 223
  • [36] SPORADIC POLYMER CRYSTALLIZATION IN THE n-DIMENSIONAL SPACE
    Berlic, C.
    Barna, V.
    DIGEST JOURNAL OF NANOMATERIALS AND BIOSTRUCTURES, 2016, 11 (01) : 159 - 165
  • [37] On the Curvatures of a Curve in n-Dimensional Euclidean Space
    Shelekhov, A. M.
    RUSSIAN MATHEMATICS, 2021, 65 (11) : 46 - 58
  • [39] FRACTIONAL INTEGRALS ON N-DIMENSIONAL EUCLIDEAN SPACE
    STEIN, EM
    WEISS, G
    JOURNAL OF MATHEMATICS AND MECHANICS, 1958, 7 (04): : 503 - 514
  • [40] n-Dimensional Euclidean space Gaussian enfoldment
    E. Besalú
    R. Carbó-Dorca
    Journal of Mathematical Chemistry, 2011, 49 : 2231 - 2243