JournalspmVol. 72, No. 2/3pp. 119–123

A bound on the group velocity for Bloch wave packets

  • Grégoire Allaire

    Ecole Polytechnique, Palaiseau, France

  • Mariapia Palombaro

    University of Sussex, Brighton, UK

  • Jeffrey Rauch

    University of Michigan, Ann Arbor, USA
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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