Study of degenerate parabolic system modeling the hydrogen displacement in a nuclear waste repository
KAUST DepartmentApplied Mathematics and Computational Science Program
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Preprint Posting Date2012-02-17
Permanent link to this recordhttp://hdl.handle.net/10754/562950
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AbstractOur 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.
CitationCaro, F., Saad, B., & Saad, M. (2014). Study of degenerate parabolic system modeling the hydrogen displacement in a nuclear waste repository. Discrete & Continuous Dynamical Systems - S, 7(2), 191–205. doi:10.3934/dcdss.2014.7.191
SponsorsThis work was partially supported by GNR MOMAS.