Remarques sur la limite α→0 pour les fluides de grade 2
Iftimie, Dragoş1, 2
1 IRMAR, Université de Rennes-1, campus de Beaulieu, 35042 Rennes, France
2 Centre de mathématiques, École polytechnique, 91128 Palaiseau, France
Comptes Rendus. Mathématique, Tome 334 (2002) no. 1, pp. 83-86.

On considère la limite α→0 dans l'équation des fluides de grade 2. On montre la convergence faible des solutions vers une solution faible de l'équation de Navier–Stokes, en supposant que les données initiales convergent faiblement dans L2.

We consider the limit α→0 for the equation of the second grade fluids. We prove that weak convergence of the solutions to a weak solution of the Navier–Stokes equation holds under the assumption that the initial data weakly converges in L2.

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DOI : 10.1016/S1631-073X(02)02187-8
Iftimie, Dragoş 1, 2

1 IRMAR, Université de Rennes-1, campus de Beaulieu, 35042 Rennes, France
2 Centre de mathématiques, École polytechnique, 91128 Palaiseau, France 
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Iftimie, Dragoş. Remarques sur la limite $ \mathbf{\alpha \to 0}$ pour les fluides de grade $ \mathrm{2}$. Comptes Rendus. Mathématique, Tome 334 (2002) no. 1, pp. 83-86. doi : 10.1016/S1631-073X(02)02187-8. http://www.numdam.org/articles/10.1016/S1631-073X(02)02187-8/

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