A note on the Prodi-Serrin conditions for the regularity of a weak solution to the Navier-Stokes equations
arXiv:1706.01377 · doi:10.1007/s00021-017-0333-6
Abstract
The paper is concerned with the regularity of weak solutions to the Navier-Stokes equations. The aim is to investigate on a relaxed Prodi-Serrin condition in order to obtain regularity for t > 0. The most interesting aspect of the result is that no compatibility condition is required to the initial data $v_0\in J^2(\OO) J2(Ω)$.