Study of degenerate parabolic system modeling the hydrogen displacement in a nuclear waste repository

Florian Caro, Bilal Mohammed Saad, Mazen Naufal B M Saad

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

Our goal is the mathematical analysis of a two phase (liquid and gas) two components (water and hydrogen) system modeling the hydrogen displacement in a storage site for radioactive waste. We suppose that the water is only in the liquid phase and is incompressible. The hydrogen in the gas phase is supposed compressible and could be dissolved into the water with the Henry law. The flow is described by the conservation of the mass of each components. The model is treated without simplified assumptions on the gas density. This model is degenerated due to vanishing terms. We establish an existence result for the nonlinear degenerate parabolic system based on new energy estimate on pressures.
Original languageEnglish (US)
Pages (from-to)191-205
Number of pages15
JournalDiscrete and Continuous Dynamical Systems - Series S
Volume7
Issue number2
DOIs
StatePublished - Sep 2013

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics
  • Discrete Mathematics and Combinatorics

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