Chute stationnaire d'un solide dans un fluide visqueux incompressible le long d'un plan incliné

M Hillairet; D Serre

Annales de l'I.H.P. Analyse non linéaire (2003)

  • Volume: 20, Issue: 5, page 779-803
  • ISSN: 0294-1449

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Hillairet, M, and Serre, D. "Chute stationnaire d'un solide dans un fluide visqueux incompressible le long d'un plan incliné." Annales de l'I.H.P. Analyse non linéaire 20.5 (2003): 779-803. <http://eudml.org/doc/78597>.

@article{Hillairet2003,
author = {Hillairet, M, Serre, D},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {existence; Newtonian fluid; permanent regimes; a priori estimate},
language = {fre},
number = {5},
pages = {779-803},
publisher = {Elsevier},
title = {Chute stationnaire d'un solide dans un fluide visqueux incompressible le long d'un plan incliné},
url = {http://eudml.org/doc/78597},
volume = {20},
year = {2003},
}

TY - JOUR
AU - Hillairet, M
AU - Serre, D
TI - Chute stationnaire d'un solide dans un fluide visqueux incompressible le long d'un plan incliné
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 2003
PB - Elsevier
VL - 20
IS - 5
SP - 779
EP - 803
LA - fre
KW - existence; Newtonian fluid; permanent regimes; a priori estimate
UR - http://eudml.org/doc/78597
ER -

References

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  1. [1] Cattabriga L, Su un problema al contorno relativo al sistema di equazioni di Stokes, Rend. Sem. Mat. Univ. Padova31 (1961) 308-340. Zbl0116.18002MR138894
  2. [2] Desjardins B, Esteban M.J, On weak formulation for fluid–rigid structure interaction : compressible and incompressible models, Comm. Partial Differential Equations25 (2000) 1399-1413. Zbl0953.35118MR1765138
  3. [3] Galdi G.P, An Introduction to the Mathematical Theory of the Navier–Stokes Equations, Springer Tracts in Natural Philosophy, Vols. 38, 39, 1998. Zbl0949.35005
  4. [4] Kavian O, Introduction à la théorie des points critiques, Mathematiques & Applications, 13, Springer, 1993. Zbl0797.58005MR1276944
  5. [5] Leray J, Etude de diverses équations intégrales non linéaires et de quelques problèmes que pose l'hydrodynamique, J. Math. Pures Appl.12 (1933) 1-82. Zbl0006.16702
  6. [6] Galdi G.P, Rabier J.R, Sharp existence results for the stationary Navier–Stokes problem in three-dimensional exterior domains, Arch. Rational Mech. Anal.154 (2000) 343-368. Zbl0965.35111MR1785471
  7. [7] Serre D, Chute libre d'un solide dans un fluide visqueux incompressible existence, Japan J. Appl. Math.4 (1987) 99-110. Zbl0655.76022MR899206
  8. [8] Conca C, San Martin J, Tucsnak M, Motion of a rigid body in a viscous fluid, C. R. Acad. Sci. Paris328 (1999) 473-478. Zbl0937.76012MR1680008
  9. [9] Weinberger H, On the steady fall of a body in a Navier–Stokes fluid, in: Proc. Symposia Pure Math., XXIII, American Mathematical Society, Providence, RI, 1973. Zbl0264.76025MR416234

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