Local formulas for the hydrodynamic pressure and applications
Analysis of PDEs
2015-06-17 v1
Abstract
We provide local formulas for the pressure of incompressible fluids. The pressure can be expressed in terms of its average and averages of squares of velocity increments in arbitrary small neighborhoods. As application, we give a brief proof of the fact that velocities have (or Lipschitz) pressures. We also give some regularity criteria for 3D incompressible Navier-Stokes equations.
Keywords
Cite
@article{arxiv.1309.5789,
title = {Local formulas for the hydrodynamic pressure and applications},
author = {Peter Constantin},
journal= {arXiv preprint arXiv:1309.5789},
year = {2015}
}