自引力弹性体的基态
数学物理
2012-10-10 v2 偏微分方程分析
math.MP
摘要
建立了非线性弹性理论中静态自引力弹性体的存在性。文献 [6] 利用隐函数定理构造了接近参考构型的自引力弹性体的平衡构型。相比之下，本文考虑的稳态对应于无尺寸限制的松弛态变形，并通过最小化弹性体的能量泛函获得。
引用
@article{arxiv.1208.1792,
title = {Ground states of self-gravitating elastic bodies},
author = {Simone Calogero and Tommaso Leonori},
journal= {arXiv preprint arXiv:1208.1792},
year = {2012}
}
备注
16 pages, no figures. This new version contains an additional result on the existence of steady states of self-gravitating elastic bodies with free boundary. The inclusion of the new result led to a major revision of the paper