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

来源：

JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS | 2007年 / 4卷 / 04期

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

页码：705 / 728

页数：24

共 50 条

[1] On the breakdown of classical solutions of the planar motion of an elastic string
Manfrin, R
BULLETIN DES SCIENCES MATHEMATIQUES, 2004, 128 (04): : 253 - 263
[2] Classical and quantum equations of motion of an n-dimensional BTZ black hole
Greenwood, Eric
PHYSICS LETTERS B, 2016, 756 : 365 - 370
[3] Collineations of n-dimensional space
Cohn-Vossen, Stephan
MATHEMATISCHE ANNALEN, 1938, 115 : 80 - 86
[4] String transformation for n-dimensional image compression
Kutrib, M
Löwe, JT
SOFSEM 2002: THEORY AND PRACTICE OF INFORMATICS, 2002, 2540 : 208 - 217
[5] Existence of Local Solutions of Nonlinear Wave Equations in n-Dimensional Space
Ye, Yaojun
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2013, 20 (02) : 245 - 252
[6] Solutions of massless conformal scalar field in an n-dimensional Einstein space
Muslih, Sami I.
Baleanu, Dumitru
Rabei, Eqab M.
ACTA PHYSICA POLONICA B, 2008, 39 (04): : 887 - 892
[7] STRESS-CONCENTRATION TENSOR FOR N-DIMENSIONAL ELASTIC SPACE WITH A SPHERICAL INCLUSION
GORBACHEV, VI
MIKHAILOV, AL
VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1993, (02): : 78 - 83
[8] New Cases of Integrability of Equations of Motion of a Rigid Body in the n-Dimensional Space
Shamolin M.V.
Journal of Mathematical Sciences, 2017, 221 (2) : 205 - 259
[9] On polyhedral approximations in an n-dimensional space
M. V. Balashov
Computational Mathematics and Mathematical Physics, 2016, 56 : 1679 - 1685
[10] INCOHERENT RADIATION IN AN N-DIMENSIONAL SPACE
GIDDINGS, S
AMERICAN JOURNAL OF PHYSICS, 1984, 52 (12) : 1125 - 1127

← 1 2 3 4 5 →