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arXiv · 2001.03301

Non-uniform dependence on initial data for the Euler equations in Besov spaces

Jinlu Li·Yanghai Yu·Weipeng Zhu
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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}.

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Jinlu Li, Yanghai Yu, Weipeng Zhu. 2020-01-10. Non-uniform dependence on initial data for the Euler equations in Besov spaces. https://arxiv.org/abs/2001.03301

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