Résumé:

A hitherto open problem in the geometry of foams asks: are the pressures in the bubbles of a (structurally) periodic foam in equilibrium necessarily periodic? We supply a proof that this is so. However, external forces can induce a pressure gradient even in periodic structures. We also establish that any equilibrium planar foam whose bubbles are congruent must have uniform pressure and be a fully periodic arrangement of hexagons.

Commentaires: English Article 768PU