A bound on the group velocity for Bloch wave packets

A bound on the group velocity for Bloch wave packets

We give a direct proof that the group velocities of Bloch wave packet solutions of periodic second order wave equations cannot exceed the maximal speed of propagation of the periodic wave equation.

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Veröffentlicht in:Portugaliae mathematica 2015-01, Vol.72 (2), p.119-123
Hauptverfasser: Allaire, Grégoire, Palombaro, Mariapia, Rauch, Jeffrey
Format: Artikel
Sprache:eng
Schlagworte:
Mathematical research
Partial differential equations
Wave equation
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Beschreibung
Zusammenfassung:We give a direct proof that the group velocities of Bloch wave packet solutions of periodic second order wave equations cannot exceed the maximal speed of propagation of the periodic wave equation.
ISSN:0032-5155
1662-2758
DOI:10.4171/PM/1960