Strong continuity for the 2D Euler equations
Analysis of PDEs
2018-11-06 v1
Abstract
We prove two results of strong continuity with respect to the initial datum for bounded solutions to the Euler equations in vorticity form. The first result provides sequential continuity and holds for a general bounded solution. The second result provides uniform continuity and is restricted to H\"older continuous solutions.
Cite
@article{arxiv.1811.01553,
title = {Strong continuity for the 2D Euler equations},
author = {Gianluca Crippa and Elizaveta Semenova and Stefano Spirito},
journal= {arXiv preprint arXiv:1811.01553},
year = {2018}
}