"Spatially nondecaying solutions of 2D Navier-Stokes equations in a
strip"
Dr. S. Zelik (WIAS)
ABSTRACT:
The weighted energy theory for Navier-Stokes equations in 2D strips
is developed.
Based on this theory, the existence of a solution in the uniformly
local phase space (without any spatial decaying assumptions), its
uniqueness and the existence of a global attractor
are verified. In particular, this phase space contains the 2D
Poiseuille flows.