Un problème de Navier-Stokes avec surface libre et tension superficielle

Geneviève Allain

Annales de la Faculté des sciences de Toulouse : Mathématiques (1985)

  • Volume: 7, Issue: 1, page 29-56
  • ISSN: 0240-2963

How to cite

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Allain, Geneviève. "Un problème de Navier-Stokes avec surface libre et tension superficielle." Annales de la Faculté des sciences de Toulouse : Mathématiques 7.1 (1985): 29-56. <http://eudml.org/doc/73169>.

@article{Allain1985,
author = {Allain, Geneviève},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {viscous, incompressible, nonstationary fluid; free surface; Lagrangian formulation; tension; evolution equation; initial velocity; small-time solvability; Navier-Stokes equations},
language = {fre},
number = {1},
pages = {29-56},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Un problème de Navier-Stokes avec surface libre et tension superficielle},
url = {http://eudml.org/doc/73169},
volume = {7},
year = {1985},
}

TY - JOUR
AU - Allain, Geneviève
TI - Un problème de Navier-Stokes avec surface libre et tension superficielle
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1985
PB - UNIVERSITE PAUL SABATIER
VL - 7
IS - 1
SP - 29
EP - 56
LA - fre
KW - viscous, incompressible, nonstationary fluid; free surface; Lagrangian formulation; tension; evolution equation; initial velocity; small-time solvability; Navier-Stokes equations
UR - http://eudml.org/doc/73169
ER -

References

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  1. [1] G. Allain. «Un problème de Navier-Stokes avec surface libre». Thèse de 3e cycle, Paris VI , 1983. 
  2. [2] J.T. Beale. «The initial value problem for the Navier-Stokes equations with a free surface». Comm. Pure and Applied Math., 34, p. 359-381,1981. Zbl0464.76028MR611750
  3. [3] J.T. Beale. «Large-time regularity of viscous surface waves». Arch. Rat. Mech. Anal., 84, p. 307-352,1984. Zbl0545.76029MR721189
  4. [4] J.L. Lions - E. Magenes. «Problèmes aux limites non homogènes et applications». Dunod, Paris, 1968. Zbl0165.10801
  5. [5] V.V. Pukhnachev. «A plane steady free-boundary problem for the Navier-Stokes equations». P.M.T.F., 3, p. 91-102,1972. 
  6. [6] G. de Rham. «Variétés différentiables». Hermann, Paris, 1960. 
  7. [7] V.A. Solonnikov. «Solvability of a problem on the motion of a viscous incompressible fluid bounded by a free surface». Math. U.S.S.R. Izvestijya11, 1977, p. 1323-1358. Zbl0398.76024
  8. [8] V.A. Solonnikov. «The solvability of the second initial value problem for the linear time-dependent system of Navier-Stokes equations». J. Soviet. Math.10, 1978, p. 141-155. Zbl0388.35059MR609731
  9. [9] R. Temam. «Navier-Stokes equations». North-Holland, Amsterdam, 1977. Zbl0383.35057MR609732

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