Calculus of Variations and Geometric Measure Theory
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E. Chiodaroli

A DISSIPATIVE MODEL FOR HYDROGEN STORAGE: EXISTENCE AND REGULARITY RESULTS

created by chiodaroli on 16 Jan 2012

[BibTeX]

Published Paper

Inserted: 16 jan 2012
Last Updated: 16 jan 2012

Journal: Mathematical Methods in the Applied Sciences
Volume: 34
Number: 6
Pages: 642–669
Year: 2011

Abstract:

We prove global existence of a solution to an initial and boundary value problem for a highly nonlinear PDE system. The problem arises from a thermomechanical dissipative model describing hydrogen storage by use of metal hydrides. In order to treat the model from an analytical point of view, we formulate it as a phase transition phenomenon thanks to the introduction of a suitable phase variable. Continuum mechanics laws lead to an evolutionary problem involving three state variables: the temperature, the phase parameter and the pressure. The problem thus consists of three coupled partial differential equations combined with initial and boundary conditions. Existence and regularity of the solutions are here investigated by means of a time discretization-a priori estimates-passage to the limit procedure joined with compactness and monotonicity arguments.


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