Some new multiplicative Sobolev inequalities with applications to the Navier–Stokes equations
Volume 121 / 2018
Annales Polonici Mathematici 121 (2018), 279-290
MSC: Primary 35B65; Secondary 35Q30, 76D03.
DOI: 10.4064/ap170923-28-4
Published online: 2 July 2018
Abstract
We establish some new multiplicative Sobolev inequalities. As applications, we refine and extend some known regularity criteria for the Navier–Stokes equations.
