Non-uniform dependence on initial data for the Euler equations in Besov spaces
Analysis of PDEs
2020-01-13 v1
Abstract
In the paper, we consider the initial value problem to the higher dimensional Euler equations in the whole space. Based on the new technical which is developed in \cite{Li2}, we proved that the data-to-solution map of this problem is not uniformly continuous in nonhomogeneous Besov spaces in the sense of Hadamard. Our obtained result improves considerably the recent result given by Pastrana \cite{Pastrana}.
Cite
@article{arxiv.2001.03301,
title = {Non-uniform dependence on initial data for the Euler equations in Besov spaces},
author = {Jinlu Li and Yanghai Yu and Weipeng Zhu},
journal= {arXiv preprint arXiv:2001.03301},
year = {2020}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2001.00290