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Existence de nappes de tourbillon en dimension deux
Author(s):
Jean-Marc
Delort
Journal:
J. Amer. Math. Soc.
4
(1991),
553-586.
MSC:
Primary 76C05;
Secondary 35Q30
MathSciNet review:
1102579
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References:
-
- [1]
- R. Abraham, J. E. Marsden, et T. Ratiu, Manifolds, tensor analysis and applications, Appl. Math. Sci., vol. 75, 2nd ed., Springer-Verlag, 1988. MR 960687 (89f:58001)
- [2]
- S. Alinhac, Un phénomène de concentration évanescente pour des flots nonstationnaires incompressibles en dimension deux, Prépublications de l'Université Paris-Sud.
- [3]
- J.-Y. Chemin, Sur le mouvement des particules d'un fluide parfait, incompressible, bidimensionnel, Invent. Math. 103 (1991), 599-629. MR 1091620 (91m:35187)
- [4]
- R. Di Perna et A. Majda, Concentrations in regularizations for
 incompressible flow, Comm. Pure Appl. Math. 40 (1987), 301-345. MR 882068 (88e:35149) - [5]
- -, Reduced Hausdorff dimension and concentration-cancellation for two dimensional incompressible flow, J. Amer. Math. Soc. 1 (1988), 59-95. MR 924702 (89e:35126)
- [6]
- D. Ebin et J. Marsden, Groups of diffeomorphisms and the motion of an incompressible fluid, Ann. of Math. (2) 92 (1970), 102-163. MR 0271984 (42:6865)
- [7]
- V. Georgescu, Some boundary value problems for differential forms on compact Riemannian manifolds, Ann. Mat. Pura Appl. (4) 122 (1979), 159-198. MR 565068 (81d:58053)
- [8]
- C. Greengard et E. Thomann, On Di Perna-Majda concentration sets for two-dimensional incompressible flow, Comm. Pure Appl. Math. 41 (1988), 295-303. MR 929281 (89d:35141)
- [9]
- T. Kato, On classical solutions of the two dimensional non-stationary Euler equation, Arch. Rational Mech. Anal. 25 (1967), 188-200. MR 0211057 (35:1939)
- [10]
- F. Mac Grath, Non-stationary plane flow of viscous and ideal fluids, Arch. Rational Mech. Anal. 27 (1968), 328-348.
- [11]
- G. de Rham, Variétés différentiables, Hermann, Actualités Sci. Indust., Paris, 1960.
- [12]
- Yuxi Zheng, Concentration-cancellation for the velocity fields in two dimensional incompressible fluid flows, preprint, Univ. of California at Berkeley. MR 1091579 (92e:35131)
- [13]
- R. Krasny, Desingularization of periodic vortex sheet roll-up, J. Comput. Phys. 65 (1986), 292-313. MR 851670 (87g:76028)
- [14]
- -, Computation of vortex sheet roll-up in the Trefftz plane, J. Fluid Mech. 184 (1987), 123-155.
- [15]
- A. Majda, Vortex dynamics: Numerical analysis, scientific computing, and mathematical theory, Proceedings of the First International Congress for Industrial and Applied Mathematics, S.I.A.M. Publ., 1988, pp. 153-182. MR 976858 (90f:65227)
- [16]
- -, The interaction of nonlinear analysis and modern applied mathematics, Proc. I.C.M., Kyoto (à paraître).
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Additional Information:
DOI:
10.1090/S0894-0347-1991-1102579-6
PII:
S0894-0347-1991-1102579-6
Copyright of article:
Copyright
1991,
American Mathematical Society
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