关于速率无关液滴演化的几何性质
偏微分方程分析
2024-10-11 v2
摘要
我们基于单相 Bernoulli 自由边界问题，引入了一个描述具有接触角滞后的表面上速率无关液滴运动的玩具模型。我们考虑一种能量解的概念，并通过极小化运动格式证明存在性。本文的主要结果关于一般能量解所满足的 PDE 条件：我们证明解在每一时刻沿接触线 -几乎处处满足动态接触角条件。
引用
@article{arxiv.2310.03656,
title = {On the geometry of rate independent droplet evolution},
author = {William M Feldman and Inwon C. Kim and Norbert Požár},
journal= {arXiv preprint arXiv:2310.03656},
year = {2024}
}
备注
Based on readers' feedback we have split our work, whose original version can be found at arXiv:2310.03656v1, into two independent parts containing all the results of the original paper. The other part of the paper (on obstacle solutions) has appeared as a new separate posting at arXiv:2410.06931