Spacetime decay of mild solutions and conditional quantitative transfer of regularity of the incompressible Navier--Stokes Equations from ${\mathbb{R}}^n$ to bounded domains

Siran Li, Xiangxiang Su

We are concerned with the "transfer of regularity" phenomenon for the incompressible Navier--Stokes Equations (NSE) in dimension $n\ge 3$; that is, the strong solutions of NSE on…