Loss of continuity of the solution map for the Euler equations in $\alpha$-modulation and H\"older spaces
Analysis of PDEs
2014-12-16 v1
Abstract
We study the incompressible Euler equations in the -modulation and H\"older spaces on the plane. We show that for these spaces the associated data-to-solution map is not continuous on bounded sets.
Keywords
Cite
@article{arxiv.1412.4619,
title = {Loss of continuity of the solution map for the Euler equations in $\alpha$-modulation and H\"older spaces},
author = {Gerard Misiołek and Tsuyoshi Yoneda},
journal= {arXiv preprint arXiv:1412.4619},
year = {2014}
}