Construction of a turbulent measure for Vlasov's system of equations
Sbornik. Mathematics, Tome 31 (1977) no. 1, pp. 9-27 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

A measure which is a generalization of the concept of a statistical solution and is useful for averaging functional nonlocal with respect to the time is constructed in the set of generalized solutions of Vlasov's system of equations. Bibliography: 7 titles.
@article{SM_1977_31_1_a1,
     author = {A. A. Arsen'ev},
     title = {Construction of a~turbulent measure for {Vlasov's} system of equations},
     journal = {Sbornik. Mathematics},
     pages = {9--27},
     year = {1977},
     volume = {31},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1977_31_1_a1/}
}
TY  - JOUR
AU  - A. A. Arsen'ev
TI  - Construction of a turbulent measure for Vlasov's system of equations
JO  - Sbornik. Mathematics
PY  - 1977
SP  - 9
EP  - 27
VL  - 31
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/SM_1977_31_1_a1/
LA  - en
ID  - SM_1977_31_1_a1
ER  - 
%0 Journal Article
%A A. A. Arsen'ev
%T Construction of a turbulent measure for Vlasov's system of equations
%J Sbornik. Mathematics
%D 1977
%P 9-27
%V 31
%N 1
%U http://geodesic.mathdoc.fr/item/SM_1977_31_1_a1/
%G en
%F SM_1977_31_1_a1
A. A. Arsen'ev. Construction of a turbulent measure for Vlasov's system of equations. Sbornik. Mathematics, Tome 31 (1977) no. 1, pp. 9-27. http://geodesic.mathdoc.fr/item/SM_1977_31_1_a1/

[1] C. Foias, “Statistical Study of Navier - Stokes Equations”, Rend. Sem. Matem. Univ. Padova, 48 (1972), 219–348 | MR

[2] C. Foias, “Statistical Study of Navier - Stokes Equations”, Rend. Sem. Matem. Univ. Padova, 49 (1973), 9–123 | Zbl

[3] V. I. Smirnov, Kurs vysshei matematiki, t. IV, Fizmatgiz, Moskva, 1958 | Zbl

[4] N. Danford, L. Shvarts, Lineinye operatory, IL, Moskva, 1962

[5] N. Burbaki, Integrirovanie. Mery, integrirovanie mer, izd-vo «Nauka», Moskva, 1967 | MR

[6] A. A. Arsenev, “Postroenie turbulentnoi mery dlya sistemy uravnenii Nave-Stoksa”, Matem. sb., 101 (143) (1976), 204–211 | MR

[7] A. A. Arsenev, O suschestvovanii stokhasticheskikh i statisticheskikh reshenii u nelineinykh uravnenii, Preprint IPM, No 73, Moskva, 1976 | MR