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math.AP2011
Long time existence of regular solutions to 3d Navier-Stokes equations coupled with the heat convection
Jolanta Socala, Wojciech M. Zajaczkowski
We prove long time existence of regular solutions to the Navier-Stokes equations coupled with the heat equation. We consider the system in non-axially symmetric cylinder with the s…
math.AP2011
Long time estimate of solutions to 3d Navier-Stokes equations coupled with the heat convection
Jolanta Socala, Wojciech M. Zajaczkowski
We examine the Navier-Stokes equations with homogeneous slip boundary conditions coupled with the heat equation with homogeneous Neumann conditions in a bounded domain in . Th…
math.AP2007
A sufficient condition of regularity for axially symmetric solutions to the Navier-Stokes equations
Grigory Seregin, Wojciech Zajaczkowski
In the present paper, we prove a sufficient condition of local regularity for suitable weak solutions to the Navier-Stokes equations having axial symmetry. Our condition is an axia…