A Lagrangian Interior Regularity Result for the Incompressible Free Boundary Euler Equation with Surface Tension
Analysis of PDEs
2019-10-31 v1
Abstract
We consider the three-dimensional incompressible free-boundary Euler equations in a bounded domain and with surface tension. Using Lagrangian coordinates, we establish a priori estimates for solutions with minimal regularity assumptions on the initial data.
Keywords
Cite
@article{arxiv.1910.13542,
title = {A Lagrangian Interior Regularity Result for the Incompressible Free Boundary Euler Equation with Surface Tension},
author = {Marcelo M. Disconzi and Igor Kukavica and Amjad Tuffaha},
journal= {arXiv preprint arXiv:1910.13542},
year = {2019}
}