Global attractor for Navier-Stokes equations in cylindrical domains

Bernard Nowakowski, and Wojciech M. Zajączkowski. "Global attractor for Navier-Stokes equations in cylindrical domains." Applicationes Mathematicae 36.2 (2009): 183-194. <http://eudml.org/doc/279918>.

@article{BernardNowakowski2009,
abstract = {Global and regular solutions of the Navier-Stokes system in cylindrical domains have already been obtained under the assumption of smallness of (1) the derivative of the velocity field with respect to the variable along the axis of cylinder, (2) the derivative of force field with respect to the variable along the axis of the cylinder and (3) the projection of the force field on the axis of the cylinder restricted to the part of the boundary perpendicular to the axis of the cylinder. With the same assumptions we prove in this paper the existence of a global attractor for the Navier-Stokes equations and convergence of solutions to the stationary solutions for the large viscosity coefficient.},
author = {Bernard Nowakowski, Wojciech M. Zajączkowski},
journal = {Applicationes Mathematicae},
keywords = {Navier–Stokes equations; global attractor; incompressible fluids; global existence of regular solutions; boundary slip conditions},
language = {eng},
number = {2},
pages = {183-194},
title = {Global attractor for Navier-Stokes equations in cylindrical domains},
url = {http://eudml.org/doc/279918},
volume = {36},
year = {2009},
}

TY - JOUR
AU - Bernard Nowakowski
AU - Wojciech M. Zajączkowski
TI - Global attractor for Navier-Stokes equations in cylindrical domains
JO - Applicationes Mathematicae
PY - 2009
VL - 36
IS - 2
SP - 183
EP - 194
AB - Global and regular solutions of the Navier-Stokes system in cylindrical domains have already been obtained under the assumption of smallness of (1) the derivative of the velocity field with respect to the variable along the axis of cylinder, (2) the derivative of force field with respect to the variable along the axis of the cylinder and (3) the projection of the force field on the axis of the cylinder restricted to the part of the boundary perpendicular to the axis of the cylinder. With the same assumptions we prove in this paper the existence of a global attractor for the Navier-Stokes equations and convergence of solutions to the stationary solutions for the large viscosity coefficient.
LA - eng
KW - Navier–Stokes equations; global attractor; incompressible fluids; global existence of regular solutions; boundary slip conditions
UR - http://eudml.org/doc/279918
ER -