Uniqueness of the compactly supported weak solution of Vlasov-Poisson equation;Unicité de la solution faible à support compact de l'équation de Vlasov-Poisson

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 324, Issue 8, 1997, Pages 873-877

  Robert, Raoul ^a  

^a UNIVERSITÉ LYON 1   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002326654     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(97)86961-3     Document Type: Article

References (8)

1. [1] Arsenev A., 1975. Global existence of a weak solution of Vlasov's system of equations. USSR Comput. Math. and Math. Phys., 15, p. 131-143.
2. [2] Chavanis P. H., Sommeria J. et Robert R. Statistical mechanics of 2D vortices and stellar systems. To appear in the Astrophysical Journal.
3. [3] Diperna R. J. et Lions P.-L., 1988. Solutions globales d'équations du type Vlasov-Poisson, C. R. Acad. Sci. Paris, 307, p. 655-658.
4. [4] Horst E. et Hunze R., 1984. Weak solutions of the initial value problem for the unmodified nonlinear Vlasov equation. Math. Meth. in the Appl. Sc., 6, p. 262-279.
5. [5] Illner R. et Neunzert H., 1979. An existence theorem for the unmodified Vlasov equation. Math. Methods in the Appl. Sci., 1, p. 530-544.
6. [6] Lions P.-L. et Perthame B., 1991. Propagation of moments and regularity for the 3-dimensional Vlasov-Poisson system, Invent. Math., 105, p. 415-430.
7. [7] Michel J. et Robert R., 1994. Large deviations for Young measures and statistical mechanics of infinite dimensional dynamical systems with conservation law. Comm. Math. Phys., 159, p. 195-215.
8. [8] Youdovitch V. I., 1963. Non stationary flow of an ideal incompressible liquid, Zh. Vych. Mat., 3, p. 1032-1066.