A Dissipative Model for Hydrogen Storage: Existence and Regularity Results

Details A Dissipative Model for Hydrogen Storage: Existence and Regularity Results A Dissipative Model for Hydrogen Storage: Existence and Regularity Results

2010-03-23

arxiv.org/abs/1003.4454v2

Mathematics

Analysis of PDEs

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

A Dissipative Model for Hydrogen Storage: Existence and Regularity Results does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Dissipative Model for Hydrogen Storage: Existence and Regularity Results, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Dissipative Model for Hydrogen Storage: Existence and Regularity Results will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-211776