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

top

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. <http://eudml.org/doc/84164>.

@article{Rakotoson1993,
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 = {http://eudml.org/doc/84164},
volume = {20},
year = {1993},
}

TY - JOUR
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 - http://eudml.org/doc/84164
ER -

References

top
  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

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.