Appl Math Optim 55:31–59 (2007)
2006 Springer Science+Business Media, Inc.
Hydrogen Storage: Modeling and Analytical Results
and Christian Lexcellent
Laboratoire Lagrange, Dipartimento di Matematica “F. Casorati”,
Universit`a di Pavia, Via Ferrata 1, 27100 Pavia, Italy
Laboratoire Lagrange, Laboratoire Central des Ponts et Chauss´ees,
58 boulevard Lefebvre, 75372 Paris Cedex 15, France
Laboratoire Lagrange, Laboratoire de M´ecanique appliqu´ee,
24 rue de l’Epitaphe, 25000 Besancon Cedex, France
Communicated by R. Triggianni
Abstract. We present a thermomechanical model describing hydrogen storage by
use of metal hydrides. The problem is considered as a phase transition phenomenon.
The model is recovered by continuum mechanics laws, using a generalization of the
principle of virtual power accounting for microscopic movements related to the
phase transition. The resulting nonlinear PDE system is investigated from the point
of view of existence, uniqueness, and regularity of solutions.
Key Words. Nonlinear PDE system, Hydrogen storage, Existence and uniqueness,
Microscopic movements, Dissipative phase transition.
AMS Classiﬁcation. 35Q72, 35K55, 74F10.
This paper deals with hydrogen storage, which is nowadays a challenging subject in
energetic and industrial applications (see, e.g., , , and ). Traditionally, it has
been stored and transported mainly as a compressed gas. Recently, an alternative tech-
This work has been partially supported by IMATI-CNR, Pavia (Italy).