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math.AP2007★ 3 cited
Liouville theorems for the Navier-Stokes equations and applications
G. Koch, N. Nadirashvili, G. Seregin +1
We study bounded ancient solutions of the Navier-Stokes equations. These are the solutions which are defined for all past time. In two space dimensions we prove that such solutions…
math.AP2007
A sufficient condition of regularity for axially symmetric solutions to the Navier-Stokes equations
Grigory Seregin, Wojciech Zajaczkowski
In the present paper, we prove a sufficient condition of local regularity for suitable weak solutions to the Navier-Stokes equations having axial symmetry. Our condition is an axia…