Asymptotic study of the vibration problem for an elastic body deeply immersed in an incompressible fluid

Martine Vullierme-Ledard

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

  • Volume: 19, Issue: 1, page 145-170
  • ISSN: 0764-583X

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Vullierme-Ledard, Martine. "Asymptotic study of the vibration problem for an elastic body deeply immersed in an incompressible fluid." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 19.1 (1985): 145-170. <http://eudml.org/doc/193440>.

@article{Vullierme1985,
author = {Vullierme-Ledard, Martine},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {harmonic vibrations; negligible small energy radiation; Asymptotic solutions; elastic body immersed in an inviscid, incompressible fluid; infinite extend; limited by a free surface; Scattering frequencies},
language = {eng},
number = {1},
pages = {145-170},
publisher = {Dunod},
title = {Asymptotic study of the vibration problem for an elastic body deeply immersed in an incompressible fluid},
url = {http://eudml.org/doc/193440},
volume = {19},
year = {1985},
}

TY - JOUR
AU - Vullierme-Ledard, Martine
TI - Asymptotic study of the vibration problem for an elastic body deeply immersed in an incompressible fluid
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1985
PB - Dunod
VL - 19
IS - 1
SP - 145
EP - 170
LA - eng
KW - harmonic vibrations; negligible small energy radiation; Asymptotic solutions; elastic body immersed in an inviscid, incompressible fluid; infinite extend; limited by a free surface; Scattering frequencies
UR - http://eudml.org/doc/193440
ER -

References

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  1. [1] S. CERNEAU et E. SANCHEZ-PALENCIA, Sur les vibrations libres des corps élastiques plongés dans des fluides, J. Mecan. 15, 1976, pp. 399-425. Zbl0332.76058MR428884
  2. [2] R. OHAYON and E. SANCHEZ-PALENCIA, On the vibration problem for an elasticOn the vibration problem for an elastic body surrounded by a slightly compressible fluid, R.A.I.R.O. Anal. Num. 17, 1983, pp. 311-326. Zbl0513.73055MR702140
  3. [3] P. LAX and R. PHILLIPS, Scattering theory, Acad. Press, New York, 1967. Zbl0186.16301MR217440
  4. [4] J. RALSTON, Scatterring theory, Cours de l'école d'été d'analyse numérique INRIA, Sept. 1981. 
  5. [5] D. EUVRARD, A. JAMI, C. MORICE and Y. OUSSET, Calcul numérique des oscillations engendrées par la houle, J. Mecan. 16, 1977, pp. 289-326. Zbl0358.76016MR495687
  6. [6] MAZ'JA, Travaux du séminaire Sobolev, Novosibirsk, 1977. 
  7. [7] J THOMAS BEALE, Eigenfunctions expansions for objects floating in an open sea, Comm Pure Appl Math 30, 1977, pp 289-313. Zbl0336.76004MR670432
  8. [8] M. LENOIR and D. MARTIN, An application of the principle of limiting absorption to the motion of floating bodies, J. Math. Anal. Appl. 79, 1981, pp. 370-383. Zbl0464.76013MR606488
  9. [9] M. LENOIR and A. JAMI, A variationnal formulation for exterior problems in linear hydrodynamics, Comp. Meth. Appl. Mech Eng. 16, 1978, pp. 341-359. Zbl0392.76020
  10. [10] T. KATO, Pertubation theory for linear operators, Springer, Berlin, 1966 Zbl0148.12601
  11. [11] J. C. NEDELEC, Approximation des équations intégrales en mécanique et en physique, Cours de l'école d'été d'analyse numérique EDF-IRIA-CEA, June 1977. 
  12. [12] W. RUDIN, Real and Complex Analysis, McGraw-Hill Book Company, New York, 1966. Zbl0142.01701MR210528
  13. [13] F. JOHN, On the motions of floating bodies, II, Comm Pure Appl. Math 3, 1950, pp 45-101. MR37118
  14. [14] M. ABRAMOVITZ and I. STEGUN, Handbook of mathematical functions, Dover Publications, Inc, New York, 1970. 

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