论文标题
二维宽道：内部“高点”的域
Two-dimensional sloshing: domains with interior `high spots'
论文作者
论文摘要
考虑到二维荡妇问题，我们的主要重点是构建具有内部高点的域。也就是说，基本本征的自由表面高程达到其临界值。为此目的应用了所谓的半分离程序。对于某些领域，严格证明了高点的存在。许多构造的域都有多个内部高点，并且它们都至少在一侧都是球茎。
Considering the two-dimensional sloshing problem, our main focus is to construct domains with interior high spots; that is, points, where the free surface elevation for the fundamental eigenmode attains its critical values. The so-called semi-inverse procedure is applied for this purpose. The existence of high spots is proved rigorously for some domains. Many of the constructed domains have multiple interior high spots and all of them are bulbous at least on one side.
