Potential theory/Partial differential equations
Nonstationary Navier–Stokes equations with singular time-dependent external forces
[Équations de Navier–Stokes non stationnaires avec forces externes dépendant du temps et singulières]
Comptes Rendus. Mathématique, Tome 355 (2017) no. 9, pp. 966-972.

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).

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).

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2017.09.007
Dao, Nguyen Anh 1 ; Nguyen, Quoc-Hung 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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Dao, Nguyen Anh; Nguyen, Quoc-Hung. Nonstationary Navier–Stokes equations with singular time-dependent external forces. Comptes Rendus. Mathématique, Tome 355 (2017) no. 9, pp. 966-972. doi : 10.1016/j.crma.2017.09.007. http://www.numdam.org/articles/10.1016/j.crma.2017.09.007/

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