@article{ASNSP_1993_4_20_4_633_0, author = {Rakotoson, J. M. and Serre, D.}, title = {Sur un probl\`eme d'optimisation li\'e aux \'equations de {Navier-Stokes}}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {633--649}, publisher = {Scuola normale superiore}, volume = {4e s{\'e}rie, 20}, number = {4}, year = {1993}, mrnumber = {1267603}, zbl = {0797.49006}, language = {fr}, url = {http://www.numdam.org/item/ASNSP_1993_4_20_4_633_0/} }
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 SP - 633 EP - 649 VL - 20 IS - 4 PB - Scuola normale superiore UR - http://www.numdam.org/item/ASNSP_1993_4_20_4_633_0/ LA - fr ID - ASNSP_1993_4_20_4_633_0 ER -
%0 Journal Article %A Rakotoson, J. M. %A Serre, D. %T Sur un problème d'optimisation lié aux équations de Navier-Stokes %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1993 %P 633-649 %V 20 %N 4 %I Scuola normale superiore %U http://www.numdam.org/item/ASNSP_1993_4_20_4_633_0/ %G fr %F ASNSP_1993_4_20_4_633_0
Rakotoson, J. M.; Serre, D. Sur un problème d'optimisation lié aux équations de Navier-Stokes. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 20 (1993) no. 4, pp. 633-649. http://www.numdam.org/item/ASNSP_1993_4_20_4_633_0/
[A-L-T] On optimization problems with prescribed rearrangement. Nonlinear Analysis Theory, Methods and Applications. Vol. 13 N° 2 (1989), 185-220. | MR | Zbl
- - ,[B] Isoperimetric Inequalities and Applications. Pitman Advances Publishing Program, Boston-London-Melboume 1980. | MR | Zbl
,[C-R] Equimeasurable rearrangement of functions. Queen's University (1971). | MR | Zbl
- ,[F] Analyse Numérique Notes d'optimisation. Ecole polytechnique (1984). | MR
,[G] Lectures on mathematical theory of extremum problems. Springer, Berlin, 1972. | MR | Zbl
,[Ka] On rearrangements, symmetrization and maximum principles. Lectures Notes in Math. 1150, Springer-Verlag, Berlin, 1985.
,[Ku] On the existence and nonexistence of Lagrange multipliers in Banach spaces. J. Optim. Theory Appl. 20 (1976), 81-110. | MR | Zbl
,[M] Inégalités isoperimétriques et application en Physique. Collection Travaux en cours, Hermann, Paris, 1984. | MR | Zbl
,[M-T] Directional derivative of the increasing rearrangement mapping and application to a queer differential equation in plasma physics. Duke Math. J. 48 (1981), 475-495. | MR | Zbl
- ,[M-R] Isoperimetric inequalities in Parabolic equations. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 13 (1986), 51-73. | Numdam | MR | Zbl
- ,[Ra] Réarrangement relatif et équations aux dérivées partielles. Cours de 3ème cycle. Université de Poitiers Année 1990-1991(Graduate classes).
,[R-T] A co-area formula with applications to monotone rearrangement and to regularity. Arch. Rational Mech. Anal. 109 (1990), 213-238. | MR | Zbl
- ,[S] Sur le principe variationnel des équations de la mécanique des fluides parfaits. Modélisation mathématique et analyse numérique 27 (1993), 207-226. | Numdam | MR | Zbl
,[Z-Ku] Regularity and stability for the mathematical programming problem in Banach space. Applied Math. Optim. 5 (1979), 49-62. | MR | Zbl
- ,