The classical problem of removable singularities is considered for solutions to the stationary Navier–Stokes system in dimension n ≥ 3 and an old theorem of Shapiro (TAMS 187:335–363, 1974) is recovered and extended to solutions in a half ball vanishing on the flat boundary. Moreover, for n = 4 it is proved that there are not distributional solutions, smooth away from the singularity and such that u(x)=O(|x|^(−1))
On isolated singularities for the stationary Navier-Stokes system
Alfonsina Tartaglione
2024
Abstract
The classical problem of removable singularities is considered for solutions to the stationary Navier–Stokes system in dimension n ≥ 3 and an old theorem of Shapiro (TAMS 187:335–363, 1974) is recovered and extended to solutions in a half ball vanishing on the flat boundary. Moreover, for n = 4 it is proved that there are not distributional solutions, smooth away from the singularity and such that u(x)=O(|x|^(−1))File in questo prodotto:
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