We prove uniqueness in 1253-5 for mild solutions of the Navier-Stokes equations when the initial data are small enough. The proof lies on an estimate in the norm for the bilinear term.
Sur l'unicité dans L 3 (R 3 ) des solutions "mild'' des équations de Navier-Stokes. (French) [On the uniqueness in L 3 (R 3 ) of mild solutions for the Navier-Stokes equations] / G. Furioli, P.G. Lemarie-Rieusset, E. Terraneo. - In: COMPTES RENDUS DE L'ACADÉMIE DES SCIENCES. SÉRIE 1, MATHÉMATIQUE. - ISSN 0764-4442. - 325:12(1997 Dec), pp. 1253-1256.
Sur l'unicité dans L 3 (R 3 ) des solutions "mild'' des équations de Navier-Stokes. (French) [On the uniqueness in L 3 (R 3 ) of mild solutions for the Navier-Stokes equations]
E. TerraneoUltimo
1997
Abstract
We prove uniqueness in 1253-5 for mild solutions of the Navier-Stokes equations when the initial data are small enough. The proof lies on an estimate in the norm for the bilinear term.
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