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
SN - 1937-1632
VL - 7
SP - 191
EP - 205
JO - Discrete and Continuous Dynamical Systems - Series S
JF - Discrete and Continuous Dynamical Systems - Series S
IS - 2
ER -