Navier-Stokes equations in the whole space with an eddy viscosity
Analysis of PDEs
2017-06-01 v1
Abstract
We study the Navier-Stokes equations with an extra eddy viscosity term in the whole space in three dimensions. We introduce a suitable regularized system for which we prove the existence of a regular solution defined for all time. We prove that when the regularizing parameter goes to zero, the solution of the regularized system converges to a turbulent solution of the initial system.
Keywords
Cite
@article{arxiv.1705.11043,
title = {Navier-Stokes equations in the whole space with an eddy viscosity},
author = {Roger Lewandowski},
journal= {arXiv preprint arXiv:1705.11043},
year = {2017}
}