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

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

2012-02-17

arxiv.org/abs/1202.3820v1

Mathematics

Analysis of PDEs

Keywords: Degenerate system, nonlinear parabolic system, compressible flow, porous media

Scientific paper

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's 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.

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