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math.AP2020
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…
math.AP2020
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…
math.AP2020★ 5 cited
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…