On the Energy Equality for Distributional Solutions to Navier-Stokes Equations
Analysis of PDEs
2017-10-24 v2
Abstract
A classical result of J.-L. Lions asserts that if a solution to the Navier-Stokes equations is such that: (i) it is in the Leray-Hopf class, and (ii) belongs to , then it must satisfy the energy equality in the time interval . In this note we show that assumption (i) is not necessary.
Keywords
Cite
@article{arxiv.1710.05725,
title = {On the Energy Equality for Distributional Solutions to Navier-Stokes Equations},
author = {Giovanni P. Galdi},
journal= {arXiv preprint arXiv:1710.05725},
year = {2017}
}