Mathematical formulation of fluid-structure interaction problems

Jacqueline Boujot

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1987)

  • Volume: 21, Issue: 2, page 239-260
  • ISSN: 0764-583X

How to cite

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Boujot, Jacqueline. "Mathematical formulation of fluid-structure interaction problems." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 21.2 (1987): 239-260. <http://eudml.org/doc/193501>.

@article{Boujot1987,
author = {Boujot, Jacqueline},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {fluid-structure interaction; hydroelasticity; elastoacoustics; closed shell imbedded in an unlimited fluid; existence; abstract evolution problem; spectral problem; self-adjoint compact operator},
language = {eng},
number = {2},
pages = {239-260},
publisher = {Dunod},
title = {Mathematical formulation of fluid-structure interaction problems},
url = {http://eudml.org/doc/193501},
volume = {21},
year = {1987},
}

TY - JOUR
AU - Boujot, Jacqueline
TI - Mathematical formulation of fluid-structure interaction problems
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1987
PB - Dunod
VL - 21
IS - 2
SP - 239
EP - 260
LA - eng
KW - fluid-structure interaction; hydroelasticity; elastoacoustics; closed shell imbedded in an unlimited fluid; existence; abstract evolution problem; spectral problem; self-adjoint compact operator
UR - http://eudml.org/doc/193501
ER -

References

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  1. [1] S AGMON, A DOUGLIS and L. NIRENBERG, Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions I. Comm. Pure Appl. Math., 12, 1959, pp. 623-627. Zbl0093.10401MR125307
  2. [2] J. J. ANGELINI and J BOUJOT, Application des Équations Intégrales à l'étude d'un problème couplé en milieu incompressible. La Recherche Aérospatiale, 1982, n°2, pp. 143-144. 
  3. [3] J. BOUJOT, Interaction fluide-structure en régime transitoire. La Recherche Aérospatiale, 1984 n° 3, pp. 203-209. Zbl0594.76071MR765072
  4. [4] J. BOUJOT, Étude d'une famille de problèmes d'évolution du second ordre, correspondant à divers modèles de couplage fluide-structure en régime transitoire. C.R. Acad. Sc. Paris, Série I, t. 301, 1985, pp. 391-394. Zbl0586.76026MR808635
  5. [5] R. COURANT and D. HILBERT, Mathematical methods of Physics, Interscience Publishers, New York, 1953. Zbl0051.28802MR65391
  6. [6] J. M. GIUDAGLIA and R. TEMAM, Remarks on the regularity of the solutions of second order evolution equations and their attractors. To appear. 
  7. [7] J. L. LIONS and E. MAGENES, Nonhomogeneous boundary value problems and applications. Springer Verlag, New York, 1972. Zbl0223.35039
  8. [8] J. MATHIEU, Simulation des interactions fluide-structure en théorie des grands déplacements. Thèse de 3e Cycle, Université Paris-Sud Orsay, 1985. 
  9. [9] J. C. NEDELEC, Approximation des Équations Intégrales en Mécanique et en Physique. École Polytechnique, 1977. 
  10. [10] R. TEMAM, Mathematical problems in Plasticity. Gauthier-Villars, New York, 1985. MR711964

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