Sur un problème d'optimisation lié aux équations de Navier-Stokes

J. M. Rakotoson; D. Serre

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1993)

  • Volume: 20, Issue: 4, page 633-649
  • ISSN: 0391-173X

How to cite


Rakotoson, J. M., and Serre, D.. "Sur un problème d'optimisation lié aux équations de Navier-Stokes." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 20.4 (1993): 633-649. <>.

author = {Rakotoson, J. M., Serre, D.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {Navier-Stokes equation; Euler equation; Lagrange multipliers},
language = {fre},
number = {4},
pages = {633-649},
publisher = {Scuola normale superiore},
title = {Sur un problème d'optimisation lié aux équations de Navier-Stokes},
url = {},
volume = {20},
year = {1993},

AU - Rakotoson, J. M.
AU - Serre, D.
TI - Sur un problème d'optimisation lié aux équations de Navier-Stokes
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1993
PB - Scuola normale superiore
VL - 20
IS - 4
SP - 633
EP - 649
LA - fre
KW - Navier-Stokes equation; Euler equation; Lagrange multipliers
UR -
ER -


  1. [A-L-T] A. Alvino - P.L. Lions - G. Trombetti, On optimization problems with prescribed rearrangement. Nonlinear Analysis Theory, Methods and Applications. Vol. 13 N° 2 (1989), 185-220. Zbl0678.49003MR979040
  2. [B] C. Bandle, Isoperimetric Inequalities and Applications. Pitman Advances Publishing Program, Boston-London-Melboume1980. Zbl0436.35063MR572958
  3. [C-R] K.M. Chong - N.M. Rice, Equimeasurable rearrangement of functions. Queen's University (1971). Zbl0275.46024MR372140
  4. [F] P. Faurre, Analyse Numérique Notes d'optimisation. Ecole polytechnique (1984). MR971252
  5. [G] I.V. Girsanov, Lectures on mathematical theory of extremum problems. Springer, Berlin, 1972. Zbl0234.49016MR464021
  6. [Ka] B. Kawhol, On rearrangements, symmetrization and maximum principles. Lectures Notes in Math. 1150, Springer-Verlag, Berlin, 1985. 
  7. [Ku] S. Kurcyusz, On the existence and nonexistence of Lagrange multipliers in Banach spaces. J. Optim. Theory Appl.20 (1976), 81-110. Zbl0309.49010MR424249
  8. [M] J. Mossino, Inégalités isoperimétriques et application en Physique. Collection Travaux en cours, Hermann, Paris, 1984. Zbl0537.35002MR733257
  9. [M-T] J. Mossino - R. Temam, Directional derivative of the increasing rearrangement mapping and application to a queer differential equation in plasma physics. Duke Math. J.48 (1981), 475-495. Zbl0476.35031MR630581
  10. [M-R] J. Mossino - J.M. Rakotoson, Isoperimetric inequalities in Parabolic equations. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 13 (1986), 51-73. Zbl0652.35053MR863635
  11. [Ra] J.M. Rakotoson, Réarrangement relatif et équations aux dérivées partielles. Cours de 3ème cycle. Université de Poitiers Année 1990-1991(Graduate classes). 
  12. [R-T] J.M. Rakotoson - R. Temam, A co-area formula with applications to monotone rearrangement and to regularity. Arch. Rational Mech. Anal.109 (1990), 213-238. Zbl0735.49039MR1025171
  13. [S] D. Serre, Sur le principe variationnel des équations de la mécanique des fluides parfaits. Modélisation mathématique et analyse numérique27 (1993), 207-226. Zbl0788.76065MR1246997
  14. [Z-Ku] J. Zowe - S. Kurcyusz, Regularity and stability for the mathematical programming problem in Banach space. Applied Math. Optim.5 (1979), 49-62. Zbl0401.90104MR526427

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