论文标题
倾斜的波峰像水波一样具有表面张力II：零表面张力极限
Angled crested like water waves with surface tension II: Zero surface tension limit
论文作者
论文摘要
这是一系列论文中的第二篇论文，分析了具有表面张力的角度冠状水波。我们考虑了2D毛细管重力水波方程，并假设流体是无关，不可压缩的，无关的，空气密度为零。在第一篇论文\ cite {ag19}中，我们构建了一个加权能量，该能量概括了Kinsey和Wu \ cite {Kiwu18}的能量，以使其表面张力非零，并证明了局部良好的结果。在本文中，我们证明，在适当的缩放率方案下，这些溶液的零表面张力极限带有表面张力，是重力水波方程的解决方案，其中包括带有倾斜波峰的波。
This is the second paper in a series of papers analyzing angled crested type water waves with surface tension. We consider the 2D capillary gravity water wave equation and assume that the fluid is inviscid, incompressible, irrotational and the air density is zero. In the first paper \cite{Ag19} we constructed a weighted energy which generalizes the energy of Kinsey and Wu \cite{KiWu18} to the case of non-zero surface tension, and proved a local wellposedness result. In this paper we prove that under a suitable scaling regime, the zero surface tension limit of these solutions with surface tension are solutions to the gravity water wave equation which includes waves with angled crests.
