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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@article{CRMATH_2002__334_1_83_0,
author = {Drago\c{s} Iftimie},
title = {Remarques sur la limite $ \mathbf{\alpha \to 0}$ pour les fluides de~grade $ \mathrm{2}$},
journal = {Comptes Rendus. Math\'ematique},
pages = {83--86},
publisher = {Elsevier},
volume = {334},
number = {1},
year = {2002},
doi = {10.1016/S1631-073X(02)02187-8},
language = {fr},
}
Dragoş Iftimie. Remarques sur la limite $ \mathbf{\alpha \to 0}$ pour les fluides de grade $ \mathrm{2}$. Comptes Rendus. Mathématique, Volume 334 (2002) no. 1, pp. 83-86. doi : 10.1016/S1631-073X(02)02187-8. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(02)02187-8/
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