Remarques sur les équations de Navier-Stokes stationnaires

C. Foias; J. C. Saut

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1983)

  • Volume: 10, Issue: 1, page 169-177
  • ISSN: 0391-173X

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Foias, C., and Saut, J. C.. "Remarques sur les équations de Navier-Stokes stationnaires." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 10.1 (1983): 169-177. <http://eudml.org/doc/83897>.

@article{Foias1983,
author = {Foias, C., Saut, J. C.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {stationary non-homogeneous Navier-Stokes equations; set of critical values; generic finiteness of the solution set; C-analytic subset},
language = {fre},
number = {1},
pages = {169-177},
publisher = {Scuola normale superiore},
title = {Remarques sur les équations de Navier-Stokes stationnaires},
url = {http://eudml.org/doc/83897},
volume = {10},
year = {1983},
}

TY - JOUR
AU - Foias, C.
AU - Saut, J. C.
TI - Remarques sur les équations de Navier-Stokes stationnaires
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1983
PB - Scuola normale superiore
VL - 10
IS - 1
SP - 169
EP - 177
LA - fre
KW - stationary non-homogeneous Navier-Stokes equations; set of critical values; generic finiteness of the solution set; C-analytic subset
UR - http://eudml.org/doc/83897
ER -

References

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  2. [2] Yv. G. Borisovich - V.Q. Zvyagin - Yv. I. Sapronov, Nonlinear Fredholm maps and the Leray-Schander theory, Russian Math. Surveys, 32, 4 (1977), pp. 1-54. Zbl0383.58002
  3. [3] F. Bruhat - H. Whitney, Quelques propriétés fondamentales des ensembles analytiques réels, Comment. Math. Helv., 33 (1959), pp. 132-160. Zbl0100.08101MR102094
  4. [4] C. Foias - R. Temam, On the stationary statistical solutions of the Navier-Stokes-equations and turbulence, Publications Mathématiques d'Orsay, 1975. 
  5. [5] C. Foias - R. Temam, Structure of the set of stationnary solutions of the Navier-Stokes equations, Comm. Pure Appl. Math., 30 (1977), pp. 149-164. Zbl0335.35077MR435626
  6. [6] C. Foias - R. Temam, Remarques sur les équations de Navier-Stokes stationnaires et les phénomènes successifs de bifurcation, Ann. Scuola Norm. Sup. Pisa, Série IV, 5, 1 (1978), pp. 29-63. Zbl0384.35047MR481645
  7. [7] H. Hironaka, Subanatytic sets, in Number Theory, Algebraic Geometry and Commutative Algebra, in honor of P. Akizuki, Kinokuya, Tokyo, 1973, pp. 342-493. Zbl0297.32008
  8. [8] J. Leray, Etude de diverses équations intégrales non linéaires et de quelques problèmes que pose l'hydrodynamique, J. Math. Pures Appl.,13 (1934), pp. 331-418. 
  9. [9] R. Plastock, Fredholm operators of index zero, Proc. Amer. Math. Soc., 68 (1978), pp. 317-322. Zbl0392.47035MR464283
  10. [10] G. Ruget, A propos des cycles analytiques de dimension infinie, Invent. Math., 8 (1969), pp. 267-312. Zbl0188.25102MR273064
  11. [11] J.C. Saut - R. Temam, Gerceric properties of Navier-Stokes equations; genericity with respect to the boundary values, Indiana Univ. Math. J., 29, no. 3 (1980), pp. 427-446. Zbl0445.76023MR570691
  12. [12] R. Temam, Navier-Stokes equations, Theory and Numerical Analysis, North-Holland, Amsterdam, 1979. Zbl0383.35057

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