137 citations · 150 across the 6 of their papers we have counts for
6 papers
On potential Type II blowups for the Navier-Stokes equations
Gregory Seregin
In the present note, certain scenarios of potential Type II blowups of solutions to the Navier-Stokes equations are considered on the local level. They generalise particular scenar…
A note on certain scenarios of Type II blowups of suitable weak solutions to the Navier-Stokes equations
Gregory Seregin
In the note, various scenarios of potential Type II blowups of suitable weak solutions to the Navier-Stokes equations are studied. It is shown, that under some assumptions, such ty…
A note on potential Type II blowups of axisymmetric solutions to the Navier-Stokes equations
Gregory Seregin
In the note, a certain scenario of potential Type II blowups of axisymmetric solutions to the Navier-Stokes equations is considered. The main tool of the treatment of such blowups…
A Liouville Type Theorem for Steady-State Navier-Stokes Equations
G. Seregin
A Liouville type theorem is proven for the steady-state Navier-Stokes equations. It follows from the corresponding theorem on the Stokes equations with the drift. The drift is supp…
Liouville Type Theorem for Stationary Navier-Stokes Equations
Gregory Seregin
It is shown that any smooth solution to the stationary Navier-Stokes system in with the velocity field, belonging globally to and , must be zero.
Liouville Theorem for 2D Navier-Stokes equations in Half Space
Gregory Seregin
In the paper, a Liouville theorem for mild bounded ancient solutions to the 2D Navier-Stokes equations in half space has been proven.