Global $\dot H^1 \cap \dot H^{-1}$ solutions to a logarithmically regularized 2D Euler equation
Analysis of PDEs
2012-10-03 v1
Abstract
We construct global solutions to a logarithmically modified 2D Euler vorticity equation. Our main tool is a new logarithm interpolation inequality which exploits the -conservation of the vorticity.
Cite
@article{arxiv.1210.0605,
title = {Global $\dot H^1 \cap \dot H^{-1}$ solutions to a logarithmically regularized 2D Euler equation},
author = {Hongjie Dong and Dong Li},
journal= {arXiv preprint arXiv:1210.0605},
year = {2012}
}
Comments
8 pages