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arXiv · 1712.09546

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

Jinlu Li·Pingzhou Hong·Weipeng Zhu
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Abstract

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

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Jinlu Li, Pingzhou Hong, Weipeng Zhu. 2017-12-27. Ill-posedness for the 2D viscous shallow water equations in the critical Besov spaces. https://arxiv.org/abs/1712.09546

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