具有非恒定角度尖点和角点的自由边界不可压缩欧拉方程的局部适定性
Local wellposedness for the free boundary incompressible Euler equations with interfaces that exhibit cusps and corners of nonconstant angle
AI总结：
研究自由边界不可压缩欧拉方程在界面含尖点和角点时的局部适定性，证明其解存在且唯一，并允许波峰角度随时间变化。
摘要：
我们证明了自由边界不可压缩欧拉方程在一类解中是局部适定的，其中界面可以表现出角点和尖点。与所有先前已知的非$C^1$水波情况相反，这些波峰的角度可以随时间变化。
英文摘要：
We prove that free boundary incompressible Euler equations are locally well posed in a class of solutions in which the interfaces can exhibit corners and cusps. Contrary to what happens in all the previously known non-$C^1$ water waves, the angle of these crests can change in time.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
