Rôle de la tension superficielle dans la convection de Bénard

G. Allain

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1990)

  • Volume: 24, Issue: 2, page 153-175
  • ISSN: 0764-583X

How to cite

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Allain, G.. "Rôle de la tension superficielle dans la convection de Bénard." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 24.2 (1990): 153-175. <http://eudml.org/doc/193592>.

@article{Allain1990,
author = {Allain, G.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {surface tension; Bénard convection; free surface},
language = {fre},
number = {2},
pages = {153-175},
publisher = {Dunod},
title = {Rôle de la tension superficielle dans la convection de Bénard},
url = {http://eudml.org/doc/193592},
volume = {24},
year = {1990},
}

TY - JOUR
AU - Allain, G.
TI - Rôle de la tension superficielle dans la convection de Bénard
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1990
PB - Dunod
VL - 24
IS - 2
SP - 153
EP - 175
LA - fre
KW - surface tension; Bénard convection; free surface
UR - http://eudml.org/doc/193592
ER -

References

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  1. [1] N. DUNFORD, J. T. SCHWARTZ, Linear Operators, T. 1, New-York, Interscience 1958. Zbl0084.10402
  2. [2] P. C. FIFE, D. D. JOSEPH, Existence of convective solutions of the generalized Bénard problem which are analytic in their norms, Arch. Rat. Mech. Anal., 33, 1969, 116-138. Zbl0193.56601MR239811
  3. [3] M. G. KREIN, M. A. RUTMAN, Linear operators leaving invariant a cone in a Banach space, Translations AMS, Series 1, 10, 1962, 199-325. Zbl0030.12902MR27128
  4. [4] J. R. A. PEARSON, On convection cells induced by surface tension. J. Fluid. Mech., 4, 489-500, 1958. Zbl0082.18804
  5. [5] P. H. RABINOWITZ, Existence and non uniqueness of rectangular solutions of the Bénard problem, Arch. Rat. Mech. Anal., 29, 32-57, 1968. Zbl0164.28704MR233557
  6. [6] P. H. RABINOWITZ, Applications of Bifurcation theory, Academic Press, New-York, 1977. Zbl0456.00014MR445957
  7. [7] V. A. SOLONNIKOV, V. E. SKADILOV, On a boundary value problem for the Navier-Stokes equations, Proc. Steklov Inst. Math., 125, 1973, 186-199. Zbl0313.35063
  8. [8] R. TEMAM, Navier-Stokes Equations, North-Holland, 1977. Zbl0383.35057MR769654

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