2D Constrained Navier-Stokes Equations
Analysis of PDEs
2018-01-11 v1
Abstract
We study 2D Navier-Stokes equations with a constraint on energy of the solution. We prove the existence and uniqueness of a global solution for the constrained Navier-Stokes equation on and , by a fixed point argument. We also show that the solution of constrained Navier-Stokes converges to the solution of Euler equation as viscosity vanishes.
Keywords
Cite
@article{arxiv.1606.08360,
title = {2D Constrained Navier-Stokes Equations},
author = {Zdzisław Brzeźniak and Gaurav Dhariwal and Mauro Mariani},
journal= {arXiv preprint arXiv:1606.08360},
year = {2018}
}