Navier-Stokes 流体与线性弹性壳相互作用的全局存在性
偏微分方程分析
2012-04-10 v2
摘要
在我的博士论文中，我证明了与 Koiter 型线性弹性壳相互作用的 Navier-Stokes 流体全局时间弱解的存在性。这是通过引入一种新方法来证明近似弱解有界序列的紧性而实现的。该方法在涉及自由边界的流体动力学问题研究中可能具有普遍的参考价值。壳方程中不涉及阻尼项。
引用
@article{arxiv.1204.1304,
title = {Global existence for the interaction of a Navier-Stokes fluid with a linearly elastic shell},
author = {Daniel Lengeler},
journal= {arXiv preprint arXiv:1204.1304},
year = {2012}
}
备注
The thesis is written in German. An English publication in a journal will follow soon. In the first version some pages were missing, due to processing problems. Futhermore, some details were added to the metadata abstract