Local wellposedness for the free boundary incompressible Euler equations with interfaces that exhibit cusps and corners of nonconstant angle
Analysis of PDEs
2023-09-06 v2
Abstract
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- water waves, the angle of these crests can change in time.
Keywords
Cite
@article{arxiv.2107.09751,
title = {Local wellposedness for the free boundary incompressible Euler equations with interfaces that exhibit cusps and corners of nonconstant angle},
author = {Diego Córdoba and Alberto Enciso and Nastasia Grubic},
journal= {arXiv preprint arXiv:2107.09751},
year = {2023}
}
Comments
82 pages