Small $\dot B^{-1}_{\infty,\infty}$ implies regularity

Taoufik Hmidi (1) , Dong Li (2)

1 IRMAR - Institut de Recherche Mathématique de Rennes
2 UBC Mathematics - Department of Mathematics [Vancouver]

We show that smallness of $\dot B^{-1}_{\infty,\infty}$ norm of solution to $d$-dimensional ($d\ge 3$) incompressible Navier-Stokes prevents blowups.

Mots clés: critical Besov; blowup criteria; Incompressible

Domaines: Equations aux dérivées partielles [math.AP]

Taoufik Hmidi, Dong Li. Small $\dot B^{-1}_{\infty,\infty}$ implies regularity. Dynamics of Partial Differential Equations, 2017, 14 (1), pp.1-4. ⟨hal-01375420⟩