Small frequency approximation of (causal) dissipative pressure waves

摘要：

In this paper we discuss the problem of small frequency approximation of the causal dissipative pressure wave model proposed in Kowar et al. (2010). We show that for appropriate situations the Green function Gc of the causal wave model can be approximated by a noncausal Green function Gpl M that has frequencies only in the small frequency range -M,M (M≤ 1/τ0,τ0 relaxation time) and obeys a power law. For such cases, the noncausal wave Gpl M contains partial waves propagating arbitrarily fast but the sum of the noncausal waves is small in the L2-sense.

关键词： Attenuation Dispersion Wave equations Causality

作者: R. Kowar

作者单位: Department of Mathematics, University of Innsbruck, Technikerstrasse 21a/2, A-6020,Innsbruck, Austria

会议类型: 国际会议

会议名称: The Fifth Symposium on Fractional Differentiation and Its Applications(第五届国际自动控制联合会分数阶导数及其应用会议)

会议地点: 南京

会议语种:英文

页码: 1-4

在线出版日期: 2012-05-14（万方平台首次上网日期，不代表论文的发表时间）