3 citations · 5 across the 4 of their papers we have counts for
4 papers
On Type I singularities of the local axi-symmetric solutions of the Navier-Stokes equations
G. Seregin, V. Sverak
Local regularity of axially symmetric solutions to the Navier-Stokes equations is studied. It is shown that under certain natural assumptions there are no singularities of Type I.
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…
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…
On Smoothness of -Solutions to the Navier-Stokes Equations up to Boundary
Gregory Seregin
We show that -solutions to the three-dimensional Navier-Stokes equations near a flat part of the boundary are smooth.