来自多重松弛损耗和守恒律的分数阶声波方程
数学物理
2012-04-24 v2 math.MP
摘要
本文关注因果声波方程，该方程蕴含频率幂律衰减。建立了从分数阶应力-应变关系加上质量动量守恒导出的五参数分数阶Zener波方程与物理上成熟的多重松弛框架之间的联系。结果表明，对于某种连续分布的松弛机制，两种描述是等价的。
引用
@article{arxiv.1202.4251,
title = {A Fractional Acoustic Wave Equation from Multiple Relaxation Loss and Conservation Laws},
author = {Sven Peter Näsholm and Sverre Holm},
journal= {arXiv preprint arXiv:1202.4251},
year = {2012}
}
备注
5 pages, 2 figures. Pre-print paper. Presented at the 5th IFAC Symposium on Fractional Differentiation and Its Applications (FDA 2012), Hohai University, Nanjing, China, 14-17 May 2012