Comptes Rendus
no. 9
Potential theory/Partial differential equations
Nonstationary Navier–Stokes equations with singular time-dependent external forces

Presented by: Haïm Brézis

Nguyen Anh Dao1; Quoc-Hung Nguyen2
1 Applied Analysis Research Group, Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Viet Nam
2 Scuola Normale Superiore, Centro Ennio de Giorgi, Piazza dei Cavalieri 3, 56100 Pisa, Italy
Comptes Rendus. Mathématique, Volume 355 (2017) no. 9, pp. 966-972.

We establish a sufficient condition for the existence of solutions to the incompressible Navier–Stokes equations, with singular time-dependent external forces defined in terms of capacity CapH1,2(E).

Nous établissons une condition suffisante pour l'existence de solutions aux équations de Navier–Stokes incompressibles, avec force externe dépendant du temps et singulière, dans un espace défini en termes de la capacité CapH1,2(E).

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2017.09.007

Nguyen Anh Dao 1; Quoc-Hung Nguyen 2

1 Applied Analysis Research Group, Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Viet Nam
2 Scuola Normale Superiore, Centro Ennio de Giorgi, Piazza dei Cavalieri 3, 56100 Pisa, Italy 
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Nguyen Anh Dao; Quoc-Hung Nguyen. Nonstationary Navier–Stokes equations with singular time-dependent external forces. Comptes Rendus. Mathématique, Volume 355 (2017) no. 9, pp. 966-972. doi : 10.1016/j.crma.2017.09.007. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2017.09.007/

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