78 citations · 181 across the 32 of their papers we have counts for
33 papers
Remarks on Type II blowups of solutions to the Navier-Stokes equations
Gregory Seregin
In the note, the Euler scaling is used to study a certain scenario of potential Type II blowups of solutions to the Navier-Stokes equations.
A Note On Local Regularity of Axisymmetric Solutions to the Navier-Stokes Equations
Gregory Seregin
In the paper, a new {\it slightly supercritical} condition, providing {\it local} regularity of axially symmetric solutions to the non-stationary 3D Navier-Stokes equations, is dis…
A Slightly Supercritical Condition of Regularity of Axisymmetric Solutions to the Navier-Stokes Equations
G. Seregin
In the note, a new regularity condition for axisymmetric solutions to the non-stationary 3D Navier-Stokes equations is proven. It is slightly supercritical.
An Approximation of Forward Self-Similar solutions to the 3D Navier-Stokes system
Francis Hounkpe, Gregory Seregin
In this paper, we present two constructions of forward self-similar solutions to the D incompressible Navier-Stokes system, as the singular limit of forward self-similar solutio…
Local Regularity of Axisymmetric Solutions to the Navier-Stokes Equations}
G. Seregin
In the note, a local regularity condition for axisymmetric solutions to the non-stationary 3D Navier-Stokes equations is proven. It reads that axially symmetric energy solutions to…
On regularity properties of a surface growth model
Jan Burczak, Wojciech S. Ożański, Gregory Seregin
We show local higher integrability of derivative of a suitable weak solution to the surface growth model, provided a scale-invariant quantity is locally bounded. If additionally ou…