On the Liouville Type Theorems for Self-Similar Solutions to the Navier-Stokes Equations

초록

We prove Liouville type theorems for the self-similar solutions to the Navier-Stokes equations. One of our results generalizes the previous ones by Neas-RuIcA 3/4 ika-verak and Tsai. Using a Liouville type theorem, we also remove a scenario of asymptotically self-similar blow-up for the Navier-Stokes equations with the profile belonging to with .

키워드