Un modèle relaxé pour les câbles inextensibles

Denis Serre

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1991)

  • Volume: 25, Issue: 4, page 465-481
  • ISSN: 0764-583X

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Serre, Denis. "Un modèle relaxé pour les câbles inextensibles." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 25.4 (1991): 465-481. <http://eudml.org/doc/193636>.

@article{Serre1991,
author = {Serre, Denis},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {Riemann problem; sign of the tension; nonnegativity; maximum principle; limit of a stiff elastic string; kinks; conservation of energy},
language = {fre},
number = {4},
pages = {465-481},
publisher = {Dunod},
title = {Un modèle relaxé pour les câbles inextensibles},
url = {http://eudml.org/doc/193636},
volume = {25},
year = {1991},
}

TY - JOUR
AU - Serre, Denis
TI - Un modèle relaxé pour les câbles inextensibles
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1991
PB - Dunod
VL - 25
IS - 4
SP - 465
EP - 481
LA - fre
KW - Riemann problem; sign of the tension; nonnegativity; maximum principle; limit of a stiff elastic string; kinks; conservation of energy
UR - http://eudml.org/doc/193636
ER -

References

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  1. [1] C. CARASSO, M. RASCLE, D. SERRE, Étude d'un modèle hyperbolique en dynamique des câbles, RAIRO Model. Math. Anal. Numer., 19, n°4 (1985), pp. 573-599. Zbl0583.73052MR826225
  2. [2] H. GILQUIN, Glimm's scheme and conservation laws of mixed type. SIAM J. Sci.Stat. Comput., 10, n° 1 (1989), pp. 133-153. Zbl0668.73017MR976167
  3. [3] H. GILQUIN, D. SERRE, Well-posedness of the Riemannproblem ; consistency of the Godunov's scheme. Contemporary Mathematics 100, W. B. Lindquist ed.,AMS, Providence. Zbl0685.65085
  4. [4] B. L. KEYFITZ, H. C. KRANZER, A System of non-strictly hyperbolic conservation laws arising in elasticity theory, Arch. Rat. Mech. Anal., 72 (1980), pp. 219-241. Zbl0434.73019MR549642
  5. [5] R. L. PEGO, D. SERRE, Instabilities in Glimm's scheme for two Systems of mixed type, SIAM J. of Num. Anal., 25, n° 5 (1988), pp. 965-988. Zbl0663.73010MR960860
  6. [6] M. SHEARER, The Riemann problem for the planar motion of an elastic string, J. Diff. Equ., 61, n° 2 (1986), pp. 149-163. Zbl0629.35073MR823399
  7. [7] M. REEKEN, Classical solutions of the chain equation, I. Maths Z., 165 (1979), pp. 143-169 ; Zbl0387.35020MR520818
  8. M. REEKEN, Classical solutions of the chain equation, idem II. Maths Z., 166 (1979), pp. 67-82. Zbl0407.35070MR526866
  9. [8] M. REEKEN, The equation of motion of a chain, Maths Z., 755 (1977), pp. 219-237. Zbl0374.73070MR449134

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