Sur le principe variationnel des équations de la mécanique des fluides parfaits

D. Serre

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1993)

  • Volume: 27, Issue: 6, page 739-758
  • ISSN: 0764-583X

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Serre, D.. "Sur le principe variationnel des équations de la mécanique des fluides parfaits." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 27.6 (1993): 739-758. <http://eudml.org/doc/193721>.

@article{Serre1993,
author = {Serre, D.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {equilibrium theory; compressible; incompressible; stationary; instationary},
language = {fre},
number = {6},
pages = {739-758},
publisher = {Dunod},
title = {Sur le principe variationnel des équations de la mécanique des fluides parfaits},
url = {http://eudml.org/doc/193721},
volume = {27},
year = {1993},
}

TY - JOUR
AU - Serre, D.
TI - Sur le principe variationnel des équations de la mécanique des fluides parfaits
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1993
PB - Dunod
VL - 27
IS - 6
SP - 739
EP - 758
LA - fre
KW - equilibrium theory; compressible; incompressible; stationary; instationary
UR - http://eudml.org/doc/193721
ER -

References

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  1. [Ar] V. I. ARNOLD, 1966, Sur un principe variationnel pour les écoulements stationnaires des liquides parfaits et ses applications aux problèmes de stabilité non lineaire, J. de Mécanique 5, 29-43. Zbl0161.22903
  2. [CG] P. CASAL, H. GOUIN, 1988, Sur les interfaces liquide-vapeur non isothermes, J. de Mécanique Th. et Appl. 7. 
  3. [EM] D. EBIN, J. MARSDEN, 1970, Groups of diffeomorphisms and the motion ot an incompressible fluid, Annals of Math 92, 102-163. Zbl0211.57401MR271984
  4. [Ga] P. R. GARABEDIAN, 1983, Non-parametric solution of the Euler equations for steady flows, Comm. Pure and Applied Math. 36, 529-535. Zbl0506.35082MR709648
  5. [K] D. J. KORTEWEG, 1901, Archives Néerlandaises, 28, 1-24. 
  6. [KLF] T. K. KORSHIYA, B. Y. LYUBIMOV, A. P. FAVPORSKII, 1982, Hamilton's principle for a liquid in Euler coordinates, Diff. Equ. 18. Zbl0555.76086
  7. [Mo] J. J. MOREAU, 1979, Séminaire d'Analyse convexe de Montpellier 9, exposé 8, On nonlinear problems of analysis and geometry (1979), Pitman Lecture notes in Maths, 46. 
  8. [RS] J.-M. RAKOTOSON, D. SERRE, Sur un problème d'optimisation lié aux equations de Navier-Stokes, Soumis pour publication. Zbl0797.49006
  9. [Ro] P. ROUCHON, 1990, On the Arnol'd stability enterion for steady state flows of an idéal fluid, Preprint Ecole des Mines de Paris. Zbl0742.76038
  10. [Sn] J. SERRIN, 1959, Mathematical principles of classical fluid mechanics, Handbuch der Physik VIII, 1. MR108116

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