From vlasov-Poisson system to the incompressible Euler system

Communications in Partial Differential Equations

Volumn 26, Issue 9-10, 2001, Pages 1913-1928

  Masmoudi, Nader ^a,b  

^a UNIVERSITÉ PARIS DAUPHINE   (France)

^b NEW YORK UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0041862103     PISSN: 03605302     EISSN: None     Source Type: Journal    
DOI: 10.1081/PDE-100107463     Document Type: Article

References (11)

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3. DiPerna, R.; Lions, P.-L. Solutions globales d'équations du type Vlasov-Poisson. C. R. Acad. Sci. Paris Sér. I Math., 307(12): 655-658, 1988.
4. Grenier, E. Defect measures of the Vlasov-Poisson system in the quasineutral regime. Comm. Partial Differential Equations, 20(7-8): 1189-1215, 1995.
5. Grenier, E. Oscillations in quasineutral plasmas. Comm. Partial Differential Equations, 21(3-4):363-394, 1996.
6. Lions, P.-L. Mathematical topics in fluid mechanics. Vol. 1. The Clarendon Press Oxford University Press, New York, 1996.
7. Incompressible models, Oxford Science Publications.
8. Lions, P.-L. and Masmoudi, N. Incompressible limit for a viscous compressible fluid. J. Math. Pures Appl. (9), 77(6):585-627, 1998.
9. Lions, P.-L. and Perthame, B. Propagation of moments and regularity for the 3-dimensional Vlasov-Poisson system. Invent. Math., 105(2): 415-430, 1991.
10. Masmoudi, N. Incompressible, inviscid limit of the compressible Navier-Stokes system. Ann. Inst. H. Poincaré Anal. Non Linéaire, to appear, 2000.
11. Pfaffelmoser, K. Global classical solutions of the Vlasov-Poisson system in three dimensions for general initial data. J. Differential Equations, 95(2):281-303, 1992.