Spectral study of a coupled compact-noncompact problem

A. Benkaddour; J. Sanchez-Hubert

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1992)

  • Volume: 26, Issue: 6, page 659-672
  • ISSN: 0764-583X

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Benkaddour, A., and Sanchez-Hubert, J.. "Spectral study of a coupled compact-noncompact problem." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 26.6 (1992): 659-672. <http://eudml.org/doc/193680>.

@article{Benkaddour1992,
author = {Benkaddour, A., Sanchez-Hubert, J.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {variational formulation; parallel plane sheets; air cavity; Helmholtz operator; acoustic vibration; spectrum; resolvent set; eigenvalues},
language = {eng},
number = {6},
pages = {659-672},
publisher = {Dunod},
title = {Spectral study of a coupled compact-noncompact problem},
url = {http://eudml.org/doc/193680},
volume = {26},
year = {1992},
}

TY - JOUR
AU - Benkaddour, A.
AU - Sanchez-Hubert, J.
TI - Spectral study of a coupled compact-noncompact problem
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1992
PB - Dunod
VL - 26
IS - 6
SP - 659
EP - 672
LA - eng
KW - variational formulation; parallel plane sheets; air cavity; Helmholtz operator; acoustic vibration; spectrum; resolvent set; eigenvalues
UR - http://eudml.org/doc/193680
ER -

References

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  1. [1] F. FLEURY and E. SANCHEZ-PALENCIA, Asymptotic and spectral properties of the acoustic vibrations of body perforated by narrow channels, Bull. Sci. Math, 2sd serie, 110 (1986) pp. 149-176. Zbl0616.76094MR878019
  2. [2] A. BENKADDOUR, Un opérateur à résolvante non compacte pour un problème couplé de vibrations acoustiques, C.R. Acad. Sci., Paris, t. 309, série I (1989) pp.265-268. Zbl0676.76076MR1010732
  3. [3] J. SANCHEZ-HUBERT and E. SANCHEZ-PALENCIA, Vibration and coupling of continuons Systems Asymptotic methods, Springer-Verlag (1989). Zbl0698.70003MR996423
  4. [4] J. L. LIONS and E. MAGENES, Problèmes aux limites non homogènes et applications, t. 1, Dunod, Paris (1967). Zbl0165.10801
  5. [5] J. L. LIONS, Équations différentielles opérationnelles, Springer (1965). 
  6. [6] P. GRISVARD, Elliptic problems in non smooth domains, Monographs Stud. Math., 24, Pitman, London (1985). Zbl0695.35060
  7. [7] A. BENKADDOUR, Étude du spectre d'opérateurs dans des problèmes de couplage compact-non compact, Thèse de l'Université P. et M. Curie (1990). 
  8. [8] E. SANCHEZ-PALENCIA, Non homogeneous media and vibration theory, Lecture Notes in Physics, Berlin (1980). Zbl0432.70002
  9. [9] T. LÉVY, Propagation of waves in a fluid saturated porous elastic solid, Intern. J. Eng. Sci., 17 (1979) pp. 1005-1014. Zbl0409.76078MR658993

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