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Ill-posedness for the 2D viscous shallow water equations in the critical Besov spaces

Published 27 Dec 2017 in math.AP | (1712.09546v2)

Abstract: In this paper, we prove that the 2D viscous shallow water equations is ill-posed in the critical Besov spaces $\B{\frac2p-1}_{p,1}(\R2)$ with $p>4$. Our proof mainly depends on the method introduced by the paper \cite{C-M-Z4}.

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