"Spatially nondecaying solutions of 2D Navier-Stokes equations in a strip"

Dr. S. Zelik (WIAS)


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.