Quantitative robustness of regularity for 3D Navier-Stokes system in Ḣα-spaces

We present stability and regularity results for the 3D incompressible Navier-Stokes system in a periodic box, in Ḣα spaces, with α∈[1/2,1]. A special attention is paid to obtaining quantitative results, i.e. ones with explicit or at least computable constants, and to scaling.