Étude d'un modèle hyperbolique en dynamique des câbles

C. Carasso; M. Rascle; D. Serre

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1985)

  • Volume: 19, Issue: 4, page 573-599
  • ISSN: 0764-583X

How to cite

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Carasso, C., Rascle, M., and Serre, D.. "Étude d'un modèle hyperbolique en dynamique des câbles." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 19.4 (1985): 573-599. <http://eudml.org/doc/193460>.

@article{Carasso1985,
author = {Carasso, C., Rascle, M., Serre, D.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {vibrating cable; negligible stiffness; axial force; large amplitudes; Riemann problem},
language = {fre},
number = {4},
pages = {573-599},
publisher = {Dunod},
title = {Étude d'un modèle hyperbolique en dynamique des câbles},
url = {http://eudml.org/doc/193460},
volume = {19},
year = {1985},
}

TY - JOUR
AU - Carasso, C.
AU - Rascle, M.
AU - Serre, D.
TI - Étude d'un modèle hyperbolique en dynamique des câbles
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1985
PB - Dunod
VL - 19
IS - 4
SP - 573
EP - 599
LA - fre
KW - vibrating cable; negligible stiffness; axial force; large amplitudes; Riemann problem
UR - http://eudml.org/doc/193460
ER -

References

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  1. [1] S. S. ANTMAN, Equilibrium states of non linearly elastic strings, SIAM J. Appl. Math.37 (1979). Zbl0434.73017MR549141
  2. [2] B. L. KJEYFITZ and H. C. KRANZER, A System of non-strictly hyperbolic conservation laws arising in elasticity theory, Arch. Rat. Mech. Anal. 72 (1980) 219-241. Zbl0434.73019
  3. [3] P. D. LAX, Hyperbolic Systems of conservation laws II, Comm. Pure Appl. Math. 10 (1957) 537-566. Zbl0081.08803MR93653
  4. [4] B. TEMPLE, Global solution of the Cauchy Problem for a class of 2 x 2 non-strictly hyperbolic conservation laws, Adv.Appl. Math. 3 (1982) 335-375. Zbl0508.76107MR673246
  5. [5] M. SHEARER, Elementary wave solutions of the equations describing the motion of an elastic string, SIAM J. Math. Anal 16 (1985) 447-459. Zbl0577.73033MR783972

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