Regularity of the free boundary for two-phase problems governed by divergence form equations and applications
Analysis of PDEs
2017-02-27 v1
Abstract
We study a class of two-phase inhomogeneous free boundary problems governed by elliptic equations in divergence form. In particular we prove that Lipschitz or flat free boundaries are . Our results apply to the classical Prandtl-Bachelor model in fluiddynamics.
Keywords
Cite
@article{arxiv.1509.02571,
title = {Regularity of the free boundary for two-phase problems governed by divergence form equations and applications},
author = {Daniela De Silva and Fausto Ferrari and Sandro Salsa},
journal= {arXiv preprint arXiv:1509.02571},
year = {2017}
}
Comments
28 pages. arXiv admin note: text overlap with arXiv:1210.7226, arXiv:1304.0406