Global existence of solutions to Navier-Stokes equations in cylindrical domains

Bernard Nowakowski, and Wojciech M. Zajączkowski. "Global existence of solutions to Navier-Stokes equations in cylindrical domains." Applicationes Mathematicae 36.2 (2009): 169-182. <http://eudml.org/doc/280027>.

@article{BernardNowakowski2009,
abstract = {We prove the existence of global and regular solutions to the Navier-Stokes equations in cylindrical type domains under boundary slip conditions, where coordinates are chosen so that the x₃-axis is parallel to the axis of the cylinder. Regular solutions have already been obtained on the interval [0,T], where T > 0 is large, on the assumption that the L₂-norms of the third component of the force field, of derivatives of the force field, and of the velocity field with respect to the direction of the axis of the cylinder are small. In this paper we continue the solution to all times.},
author = {Bernard Nowakowski, Wojciech M. Zajączkowski},
journal = {Applicationes Mathematicae},
keywords = {Navier–Stokes equations; global existence of regular solutions; cylindrical type domains; boundary-slip conditions},
language = {eng},
number = {2},
pages = {169-182},
title = {Global existence of solutions to Navier-Stokes equations in cylindrical domains},
url = {http://eudml.org/doc/280027},
volume = {36},
year = {2009},
}

TY - JOUR
AU - Bernard Nowakowski
AU - Wojciech M. Zajączkowski
TI - Global existence of solutions to Navier-Stokes equations in cylindrical domains
JO - Applicationes Mathematicae
PY - 2009
VL - 36
IS - 2
SP - 169
EP - 182
AB - We prove the existence of global and regular solutions to the Navier-Stokes equations in cylindrical type domains under boundary slip conditions, where coordinates are chosen so that the x₃-axis is parallel to the axis of the cylinder. Regular solutions have already been obtained on the interval [0,T], where T > 0 is large, on the assumption that the L₂-norms of the third component of the force field, of derivatives of the force field, and of the velocity field with respect to the direction of the axis of the cylinder are small. In this paper we continue the solution to all times.
LA - eng
KW - Navier–Stokes equations; global existence of regular solutions; cylindrical type domains; boundary-slip conditions
UR - http://eudml.org/doc/280027
ER -