We study dielectric breakdown for composites made of two isotropic phases. We show that Sachs's bound is optimal. This simple example is used to illustrate a variational principle which departs from the traditional one. We also derive the usual variational principle by elementary means without appealing to the technology of convex duality.

Dielectric breakdown: optimal bounds / Garroni, Adriana; Nesi, Vincenzo; Ponsiglione, Marcello. - In: PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON. SERIES A. - ISSN 1364-5021. - 457:2014(2001), pp. 2317-2335. [10.1098/rspa.2001.0803]

Dielectric breakdown: optimal bounds

GARRONI, Adriana;NESI, Vincenzo;PONSIGLIONE, Marcello
2001

Abstract

We study dielectric breakdown for composites made of two isotropic phases. We show that Sachs's bound is optimal. This simple example is used to illustrate a variational principle which departs from the traditional one. We also derive the usual variational principle by elementary means without appealing to the technology of convex duality.
2001
bounds; composites; dielectric breakdown; gamma-convergence; variational principle in l(infinity); variational principle in l∞; γ-convergence
01 Pubblicazione su rivista::01a Articolo in rivista
Dielectric breakdown: optimal bounds / Garroni, Adriana; Nesi, Vincenzo; Ponsiglione, Marcello. - In: PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON. SERIES A. - ISSN 1364-5021. - 457:2014(2001), pp. 2317-2335. [10.1098/rspa.2001.0803]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/249188
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