24 citations · 90 across the 33 of their papers we have counts for
4 papers · 2 filters
Global weak solutions of the Navier-Stokes equations for intermittent initial data in half-space
Zachary Bradshaw, Igor Kukavica, Wojciech S. Ożański
We prove existence of global-in-time weak solutions of the incompressible Navier-Stokes equations in the half-space with initial data in a weighted space that allo…
Local regularity of weak solutions of the hypodissipative Navier-Stokes equations
Hyunju Kwon, Wojciech S. Ożański
We consider the 3D incompressible hypodissipative Navier-Stokes equations, when the dissipation is given as a fractional Laplacian for , and we provide a…
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…
Partial regularity of Leray-Hopf weak solutions to the incompressible Navier-Stokes equations with hyperdissipation
Wojciech S. Ożański
We show that if is a Leray-Hopf weak solution to the incompressible Navier--Stokes equations with hyperdissipation then there exists a set $S\subset \mathbb{R}^3…