28 citations · 41 across the 23 of their papers we have counts for
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math.AP2018
On regular periodic solutions to the Navier-Stokes equations
Wojciech M. Zajaczkowski
We find a global a priori estimate for solutions to the Navier-Stokes equations with periodic boundary conditions guaranteeing in view of the Serrin type condition the existence of…
math.AP2018
Global regular periodic solutions to equations of weakly compressible barotropic fluid motions
Wojciech M. Zajaczkowski
We consider barotropic motions described by the compressible Navier-Stokes equations in a box with periodic boundary conditions. We are looking for density in the form $\…
math.AP2018★ 2 cited
On some regularity criteria for axisymmetric Navier-Stokes equations
Joanna Rencławowicz, Wojciech M. Zajączkowski
We point out some criteria that imply regularity of axisymmetric solutions to Navier-Stokes equations. We show that boundedness of $\|{v_{r}}/{\sqrt{r^3}}\|_{L_2({\rm R}^3\times (0…