TY - JOUR

T1 - Study of degenerate parabolic system modeling the hydrogen displacement in a nuclear waste repository

AU - Caro, Florian

AU - Saad, Bilal Mohammed

AU - Saad, Mazen Naufal B M

N1 - KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: This work was partially supported by GNR MOMAS.

PY - 2013/9

Y1 - 2013/9

N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10754/562950

UR - http://arxiv.org/abs/arXiv:1202.3820v1

UR - http://www.scopus.com/inward/record.url?scp=84888155591&partnerID=8YFLogxK

U2 - 10.3934/dcdss.2014.7.191

DO - 10.3934/dcdss.2014.7.191

M3 - Article

VL - 7

SP - 191

EP - 205

JO - Discrete and Continuous Dynamical Systems - Series S

JF - Discrete and Continuous Dynamical Systems - Series S

SN - 1937-1632

IS - 2

ER -