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On the well-posedness of the inviscid SQG equation

Published 27 Sep 2016 in math.AP | (1609.08334v2)

Abstract: In this paper we consider the inviscid SQG equation on the Sobolev spaces $Hs(\R2)$, $s > 2$. Using a geometric approach we show that for any $T > 0$ the corresponding solution map, $\theta(0) \mapsto \theta(T)$, is nowhere locally uniformly continuous.

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