On a constrained 2-D Navier-Stokes equation
Analysis of PDEs
2015-05-13 v1
Abstract
The planar Navier-Stokes equation exhibits, in absence of external forces, a trivial asymptotics in time. Nevertheless the appearence of coherent structures suggests non-trivial intermediate asymptotics which should be explained in terms of the equation itself. Motivated by the separation of the different time scales observed in the dynamics of the Navier-Stokes equation, we study the well-posedness and asymptotic behaviour of a constrained equation which neglects the variation of the energy and moment of inertia.
Cite
@article{arxiv.0807.2203,
title = {On a constrained 2-D Navier-Stokes equation},
author = {E. Caglioti and M. Pulvirenti and F. Rousset},
journal= {arXiv preprint arXiv:0807.2203},
year = {2015}
}