@article{AFST_2002_6_11_2_225_0, author = {Francis Ribaud}, title = {A remark on the uniqueness problem for the weak solutions of {Navier-Stokes} equations}, journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques}, pages = {225--238}, publisher = {Universit\'e Paul Sabatier. Facult\'e des sciences}, address = {Toulouse}, volume = {Ser. 6, 11}, number = {2}, year = {2002}, zbl = {02052902}, mrnumber = {1988463}, language = {en}, url = {https://afst.centre-mersenne.org/item/AFST_2002_6_11_2_225_0/} }
TY - JOUR AU - Francis Ribaud TI - A remark on the uniqueness problem for the weak solutions of Navier-Stokes equations JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 2002 SP - 225 EP - 238 VL - 11 IS - 2 PB - Université Paul Sabatier. Faculté des sciences PP - Toulouse UR - https://afst.centre-mersenne.org/item/AFST_2002_6_11_2_225_0/ LA - en ID - AFST_2002_6_11_2_225_0 ER -
%0 Journal Article %A Francis Ribaud %T A remark on the uniqueness problem for the weak solutions of Navier-Stokes equations %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 2002 %P 225-238 %V 11 %N 2 %I Université Paul Sabatier. Faculté des sciences %C Toulouse %U https://afst.centre-mersenne.org/item/AFST_2002_6_11_2_225_0/ %G en %F AFST_2002_6_11_2_225_0
Francis Ribaud. A remark on the uniqueness problem for the weak solutions of Navier-Stokes equations. Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 11 (2002) no. 2, pp. 225-238. https://afst.centre-mersenne.org/item/AFST_2002_6_11_2_225_0/
[A] Sobolev Spaces, Pure and applied math. series, V. 65, Academic Press, 1978. | MR | Zbl
). -[FJR] The initial boundary value problem for the Navier-Stokes equation with initial data in Lp, Arch. Rat. Mech. Anal., V. 45 (1972), p. 222-240. | MR | Zbl
), ) and ). -[FLR] Unicité dans L3(R3) et d'autres espaces fonctionnels limites pour Navier-Stokes, Rev. Mat. Iberoamericana, V. 16(3) (2000), p. 605-667. | MR | Zbl
), ) and ). -[G] Solutions for Semilinear Equations in Lp and Regularity of Weak Solutions of the Navier-stokes System, J. Diff. Equa., V. 62 (1986), p. 186-212. | MR | Zbl
). -[GP] On infinite energy solutions to the Navier-Stokes equations: global 2D existence and 3D weak-strong uniqueness, to appear in Arch. Rational. Mech. Anal. | MR
) and ). -[L] Sur le mouvement d'un liquide visqueux emplissant l'espace, Acta. Math., V. 63 (1934), p. 193-248. | JFM
). -[Li] Quelques méthodes de résolutions des problèmes aux limites non-linéaires, Dunod, Paris, 1969. | MR | Zbl
). -[LM] Uniqueness of mild solutions of the Navier-Stokes system in LN, Comm. Partial Differential Equations, 26(11-12) (2001), p. 2211-2226. | MR | Zbl
), ). -[P] Un teorama di unicita per le equazioni di Navier-Stokes, Annali di Mat., V. 48 (1959), p. 173-182. | MR | Zbl
). -[RS] Sobolev spaces of fractional order, Nemytskij operators and nonlinear partial differential equations, de Gruyter, Berlin, 1996. | MR | Zbl
) and ). -[S] The initial value problem for the Navier-Stokes equations, Non-linear Problems (R. Langer ed.), p. 69-98, Madison : The University of Wisconsin press, 1963. | MR | Zbl
). -[SW] On the singular set and the uniqueness of weak solutions of the Navier-Stokes equations, man. math., V. 49 (1984), p. 27-59. | MR | Zbl
) and ). -[T] Navier-stokes Equations,, North-Holland, Amsterdam, 1984. | MR | Zbl
). -[Tr] Theory of function spaces II, Birkhauser, 1992. | MR
). -