Le problème du plus court chemin en hydrodynamique incompressible
Brenier, Yann
Journées équations aux dérivées partielles, (1992), p. 1-10 / Harvested from Numdam
Publié le : 1992-01-01
@article{JEDP_1992____A7_0,
     author = {Brenier, Yann},
     title = {Le probl\`eme du plus court chemin en hydrodynamique incompressible},
     journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     year = {1992},
     pages = {1-10},
     mrnumber = {93k:58039},
     zbl = {0790.76028},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/JEDP_1992____A7_0}
}
Brenier, Yann. Le problème du plus court chemin en hydrodynamique incompressible. Journées équations aux dérivées partielles,  (1992), pp. 1-10. http://gdmltest.u-ga.fr/item/JEDP_1992____A7_0/

[Ar] V.I. Arnold, Ann. Institut Fourier 16 (1966) 319-361. | Numdam | MR 34 #1956 | Zbl 0148.45301

[AK] V.I. Arnold, B. Khesin, Annu. Rev. Fluid Mech 24 (1992) 145-166. | MR 93d:58020 | Zbl 0743.76019

[Br1] Y. Brenier, Comp. Meth. in Appl. Mech. 75 (1989) 325-332. | MR 91a:76068 | Zbl 0687.76016

[Br2] Y. Brenier, J. of the AMS 2 (1990) 225-255. | MR 90g:58012 | Zbl 0697.76030

[Br3] Y. Brenier, A dual least action principale for the motion of an ideal incompressible fluid, Laboratoire d'analyse numérique, rapport R91030.

[Br4] Y. Brenier, A Vlasov type formulation of the Euler equations, Rapport INRIA 1070 (1989).

[BB] H. Brezis, J-P. Bourguignon, J. Funct. Analysis 15 (1974) 341-363. | MR 49 #9452 | Zbl 0279.58005

[DM] R. Diperna, A. Majda, Comm. Math. Phys. 108 (1987), 667-689. | MR 88a:35187 | Zbl 0626.35059

[EB] D. Ebin, J. Marsden, Ann. of Math. 92 (1970) 102-163. | MR 42 #6865 | Zbl 0211.57401

[ER] Y. Eliashberg, T. Ratiu, Invent. Math. 103 (1991) 327-340. | MR 92a:58018 | Zbl 0725.58006

[Ro] M. Roesch, manuscrit.

[Sh] A. Shnirelman, Math. Sbornik USSR 56 (1987) 79-105.

[Si] B. Simon, Functional integration and quantum physics, Academic Press, New York, 1979. | MR 84m:81066 | Zbl 0434.28013

[T] L. Tartar, The compensated compactness method applied to systems of conservation laws, Systems of nonlinear PDE, NATO ASI series, Reidel, Dordecht, 1983. | MR 85e:35079 | Zbl 0536.35003

[Yo] L.C. Young, Lectures on the calculus of variations, 1980, Chelsea, New York.