Based on the a priori estimates in our previous work \cite{MW}, we continue to investigate the water-waves problem in a bounded two dimensional corner domain in this paper. We prove the local well-posedness of the solution to the water-waves system when the contact angles are less than $\frac{\pi}{16}$.

中文翻译：

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角域中具有表面张力的水波问题 II : 局部适中性

基于我们之前工作 \cite{MW} 中的先验估计，我们在本文中继续研究有界二维角域中的水波问题。我们证明了当接触角小于 $\frac{\pi}{16}$ 时，解对水波系统的局部适定性。