A note on a regularity criterion for the Navier–Stokes equations
Tom 122 / 2019
Annales Polonici Mathematici 122 (2019), 193-199
MSC: Primary 35Q30; Secondary 76D05.
DOI: 10.4064/ap180826-22-11
Opublikowany online: 23 April 2019
Streszczenie
We show that if is a solution of the Navier–Stokes equations in the whole three-dimensional space and \partial _3 u \in L^p(0,T;L^q(\mathbb {R}^3)), T \gt 0, where 2/p+3/q=1+3/q and q \in (3,10/3], then u is regular on (0,T].
