Un problème spectral issu d'un couplage élasto-acoustique

Mario Durán; Jean-Claude Nédélec

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (2000)

  • Volume: 34, Issue: 4, page 835-857
  • ISSN: 0764-583X

How to cite

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Durán, Mario, and Nédélec, Jean-Claude. "Un problème spectral issu d'un couplage élasto-acoustique." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 34.4 (2000): 835-857. <http://eudml.org/doc/194015>.

@article{Durán2000,
author = {Durán, Mario, Nédélec, Jean-Claude},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
language = {fre},
number = {4},
pages = {835-857},
publisher = {Dunod},
title = {Un problème spectral issu d'un couplage élasto-acoustique},
url = {http://eudml.org/doc/194015},
volume = {34},
year = {2000},
}

TY - JOUR
AU - Durán, Mario
AU - Nédélec, Jean-Claude
TI - Un problème spectral issu d'un couplage élasto-acoustique
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 2000
PB - Dunod
VL - 34
IS - 4
SP - 835
EP - 857
LA - fre
UR - http://eudml.org/doc/194015
ER -

References

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  1. [1] H. Brezis, Analyse Fonctionnelle, Masson, Paris (1983). Zbl0511.46001MR697382
  2. [2] C. Conca and M. Durán, On some class of elliptic spectral problems. Rapport interne, Facultad de Matemáticas, Universidad Católica de Chile, PUC-FM/99-07 (1999). 
  3. [3] D. de Figueiredo, Positive solutions of semilinear elliptic problems. Differential Equations Proceedings, Lect. Notes Math. 957 (1982) 34-84. Zbl0506.35038MR679140
  4. [4] N. Dunfort and J.T. Schwartz, Linear Operators. Part II: Spectral Theory. Wiley-Interscience, New-York (1964). Zbl0128.34803MR1009163
  5. [5] M. Durán, Étude théorique et numérique de quelques problèmes de type fluide-solide, Partie I. Thèse de doctorat à l'École Polytechnique, Paris (1996). 
  6. [6] M. Durán, Mathematical and numerical analysis of an elastic-acoustic coupling, in Proceeding of Second ECCOMAS Conference on Numerical Methods in Engineering, J. Wiley & Sons Ltd. (1996) 888-893. 
  7. [7] V. Hutson and J.S. Pym, Applications of Functional Analysis and Operator Theory. Academic Press, London (1980). Zbl0426.46009MR569354
  8. [8] T. Kato, Perturbation Theory for Linear Operators. Springer-Verlag, Berlin (1976). Zbl0342.47009MR407617
  9. [9] F. Lene and D. Leguillon, Étude de l'influence d'un glissement entre les constituants d'un matériau composite sur ses coefficients de comportements effectifs. J. Mécanique 20 (1981) 509-536. Zbl0493.73066MR635894
  10. [10] J. Nečas, Les Méthodes Directes en Théorie des Equations Elliptiques. Masson, Paris (1967). MR227584
  11. [11] P.-A. Raviart and J.-M. Thomas, Introduction à l'Analyse Numérique des Equations aux Dérivées Partielles. Masson, Paris (1983). Zbl0561.65069MR773854

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