# The Role of the Pressure in the Partial Regularity Theory for Weak Solutions of the Navier–Stokes Equations

@article{Chamorro2016TheRO,
title={The Role of the Pressure in the Partial Regularity Theory for Weak Solutions of the Navier–Stokes Equations},
author={D. Chamorro and P. Lemari{\'e}–Rieusset and Kawther Mayoufi},
journal={Archive for Rational Mechanics and Analysis},
year={2016},
volume={228},
pages={237-277}
}
• Published 2016
• Mathematics
• Archive for Rational Mechanics and Analysis
We study the role of the pressure in the partial regularity theory for weak solutions of the Navier–Stokes equations. By introducing the notion of dissipative solutions, due to Duchon and Robert (Nonlinearity 13:249–255, 2000), we will provide a generalization of the Caffarelli, Kohn and Nirenberg theory. Our approach sheels new light on the role of the pressure in this theory in connection to Serrin’s local regularity criterion.
10 Citations