论文标题
尖端不存在水波的自由边缘问题
Non-existence of cusps for a Free-boundary Problem for Water Waves
论文作者
论文摘要
在ARXIV：0908.1031中，Varvaruca和Weiss消除了在二维水波中的自由边缘问题的存在，该假设适用于解决方案的假设，即$ \ {u> 0 \} $在Arxiv的意义上是一个“带状的”域，是一个“脱带”域。在本文中，证明这些自由边界问题在自然环境中不存在牙尖。特别是，也允许非带状域。这是基于最近在Arxiv中不存在尖牙的工作：2202.00616。
In arXiv:0908.1031, Varvaruca and Weiss eliminate the existence of cusps for a free-boundary problem for two-dimensional water waves under assumptions that hold for solutions such that $\{u>0\}$ is a "strip-like" domain in the sense of arXiv:0708.4371. In this paper it is proven that cusps do not exists in the natural setting for these free-boundary problems. In particular, non strip-like domains are also allowed. This builds upon recent work on non-existence of cusps in arXiv:2202.00616.
