Smooth global Lagrangian flow for the 2D Euler and second-grade fluid equations
Analysis of PDEs
2007-05-23 v1
Abstract
We present a very simple proof of the global existence of a Lagrangian flow map for the 2D Euler and second-grade fluid equations (on a compact Riemannian manifold with boundary) which has dependence on initial data in the class of divergence-free vector fields for .
Cite
@article{arxiv.math/0007027,
title = {Smooth global Lagrangian flow for the 2D Euler and second-grade fluid equations},
author = {Steve Shkoller},
journal= {arXiv preprint arXiv:math/0007027},
year = {2007}
}