Abstract:
In this note, boundary Type I blowups of suitable weak solutions to the Navier–Stokes equations are discussed. In particular, it has been shown that, under certain assumptions, the existence of non-trivial mild bounded ancient solutions in half space leads to the existence of suitable weak solutions with Type I blowup on the boundary.
Key words and phrases:Navier–Stokes equations, suitable weak solutions, ancient solutions, Type I blowups.