Cusps in interfacial problems
Mathematical Physics
2009-10-20 v1 math.MP
Abstract
A wide range of equations related to free surface motion in two dimensions exhibit the formation of cusp singularities either in time, or as function of a parameter. We review a number of specific examples, relating in particular to fluid flow and to wave motion, and show that they exhibit one of two types of singularity: cusp or swallowtail. This results in a universal scaling form of the singularity, and permits a tentative classification.
Cite
@article{arxiv.0910.3499,
title = {Cusps in interfacial problems},
author = {J. Eggers M. A. Fontelos},
journal= {arXiv preprint arXiv:0910.3499},
year = {2009}
}