A one-point attractor theory for the Navier-Stokes equation on thin domains with no-slip boundary conditions
A one-point attractor theory for the Navier-Stokes equation on thin domains with no-slip boundary conditions
In an earlier paper related to recent results of Raugel and Sell for periodic boundary conditions, we considered the incompressible Navier-Stokes equations on 3-dimensional thin domains with zero (āno-slipā) boundary conditions and established global regularity results. We extend those results here by developing an attractor theory. We first show that ā¦