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Loss of continuity of the solution map for the Euler equations in $α$-modulation and Hölder spaces (1412.4619v1)
Published 15 Dec 2014 in math.AP
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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