Two-dimensional sloshing: domains with interior `high spots'
Analysis of PDEs
2023-11-03 v4 Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.2212.05860,
title = {Two-dimensional sloshing: domains with interior `high spots'},
author = {Nikolay Kuznetsov and Oleg Motygin},
journal= {arXiv preprint arXiv:2212.05860},
year = {2023}
}
Comments
15 pages, 5 figures