散度型方程控制的两相问题的自由边界正则性及其应用
偏微分方程分析
2017-02-27 v1
摘要
我们研究一类由散度型椭圆方程控制的两相非齐次自由边界问题。特别地，我们证明 Lipschitz 或平坦自由边界是 的。我们的结果适用于流体动力学中的经典普朗特-巴彻勒模型。
引用
@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}
}
备注
28 pages. arXiv admin note: text overlap with arXiv:1210.7226, arXiv:1304.0406