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.
Giusti, A. (2018). Dispersion relations for the time-fractional Cattaneo-Maxwell heat equation. JOURNAL OF MATHEMATICAL PHYSICS, 59(1), 1-12 [10.1063/1.5001555].
Dispersion relations for the time-fractional Cattaneo-Maxwell heat equation
Giusti, Andrea
2018
Abstract
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.File in questo prodotto:
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