Regularity criteria for the three-dimensional Navier-Stokes equations Chongsheng CaoEdriss Titi 35Q3565M70three-dimensional Navier-Stokes equationsregularity criterionglobal regularity In this paper we consider the three-dimensional Navier-Stokes equations subject to periodic boundary conditions or in the whole space. We provide sufficient conditions, in terms of one component of the velocity field, or alternatively in terms of one component of the pressure gradient, for the regularity of strong solutions to the three-dimensional Navier-Stokes equations. Indiana University Mathematics Journal 2008 text pdf 10.1512/iumj.2008.57.3719 10.1512/iumj.2008.57.3719 en Indiana Univ. Math. J. 57 (2008) 2643 - 2662 state-of-the-art mathematics http://iumj.org/access/