A regularity result for the free boundary compressible Euler equations of a liquid
Analysis of PDEs
2023-12-29 v2
Abstract
We derive a priori estimates for the compressible free boundary Euler equations in the case of a liquid without surface tension. We provide a new weighted functional framework which leads to the improved regularity of the flow map by using the Hardy inequality. One of main ideas is to decompose the initial density function. It is worth mentioning that in our analysis we do not need the higher order wave equation for the density.
Keywords
Cite
@article{arxiv.2212.06918,
title = {A regularity result for the free boundary compressible Euler equations of a liquid},
author = {Linfeng Li},
journal= {arXiv preprint arXiv:2212.06918},
year = {2023}
}
Comments
40 pages