2-D constrained Navier-Stokes equation and intermediate asymptotics
Mathematical Physics
2009-11-13 v1 Analysis of PDEs
math.MP
Abstract
We introduce a modified version of the two-dimensional Navier-Stokes equation, preserving energy and momentum of inertia, which is motivated by the occurrence of different dissipation time scales and related to the gradient flow structure of the 2-D Navier-Stokes equation. The hope is to understand intermediate asymptotics. The analysis we present here is purely formal. A rigorous study of this equation will be done in a forthcoming paper.
Keywords
Cite
@article{arxiv.0807.2197,
title = {2-D constrained Navier-Stokes equation and intermediate asymptotics},
author = {E. Caglioti and M. Pulvirenti and F. Rousset},
journal= {arXiv preprint arXiv:0807.2197},
year = {2009}
}