A bound on the group velocity for Bloch wave packets

Grégoire Allaire; Mariapia Palombaro; Jeffrey Rauch

doi:10.4171/pm/1960

JournalspmVol. 72, No. 2/3pp. 119–123

A bound on the group velocity for Bloch wave packets

Grégoire Allaire
Ecole Polytechnique, Palaiseau, France
- MathSciNet
- zbMATH Open
Mariapia Palombaro
University of Sussex, Brighton, UK
- MathSciNet
- zbMATH Open
Jeffrey Rauch
University of Michigan, Ann Arbor, USA
- MathSciNet

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Abstract

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.

Cite this article

Grégoire Allaire, Mariapia Palombaro, Jeffrey Rauch, A bound on the group velocity for Bloch wave packets. Port. Math. 72 (2015), no. 2/3, pp. 119–123

DOI 10.4171/PM/1960