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arXiv · 1412.4619

Loss of continuity of the solution map for the Euler equations in $\alpha$-modulation and H\"older spaces

Gerard Misiołek·Tsuyoshi Yoneda
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Abstract

We study the incompressible Euler equations in the $\alpha$-modulation $M^{s,\alpha}_{p,q}$ and H\"older $C^{1+\sigma}$ spaces on the plane. We show that for these spaces the associated data-to-solution map is not continuous on bounded sets.

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Gerard Misiołek, Tsuyoshi Yoneda. 2014-12-15. Loss of continuity of the solution map for the Euler equations in $\alpha$-modulation and H\"older spaces. https://arxiv.org/abs/1412.4619

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