Dispersion relations for the time-fractional Cattaneo-Maxwell heat equation

被引：22

作者：

Giusti, Andrea ^{[1
,2
,3
]}

机构：

[1] Univ Bologna, Dept Phys & Astron, Bologna, Italy

[2] Ist Nazl Fis Nucl, Via Irnerio 46, Bologna, Italy

[3] Ludwig Maximilians Univ Munchen, Arnold Sommerfeld Ctr, Theresienstr 37, D-80333 Munich, Germany

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2018年 / 59卷 / 01期

关键词：

THERMODYNAMICS; LEQUATION;

D O I：

10.1063/1.5001555

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, after a brief review of the general theory of dispersive waves in dissipative media, we present a complete discussion of the dispersion relations for both the ordinary and the time-fractional Cattaneo-Maxwell heat equations. Consequently, we provide a complete characterization of the group and phase velocities for these two cases, together with some non-trivial remarks on the nature of wave dispersion in fractional models. Published by AIP Publishing.

引用

页数：12

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