Well-posedness of the 2D Euler equations when velocity grows at infinity
Analysis of PDEs
2017-09-22 v1
Abstract
We prove the uniqueness and finite-time existence of bounded-vorticity solutions to the 2D Euler equations having velocity growing slower than the square root of the distance from the origin, obtaining global existence for more slowly growing velocity fields. We also establish continuous dependence on initial data.
Cite
@article{arxiv.1709.07422,
title = {Well-posedness of the 2D Euler equations when velocity grows at infinity},
author = {Elaine Cozzi and James P. Kelliher},
journal= {arXiv preprint arXiv:1709.07422},
year = {2017}
}