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

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

doi:10.3934/dcdss.2014.7.191

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

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

Computer, Electrical and Mathematical Sciences and Engineering

Research output: Contribution to journal › Article › peer-review

9 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 language	English (US)
Pages (from-to)	191-205
Number of pages	15
Journal	Discrete and Continuous Dynamical Systems - Series S
Volume	7
Issue number	2
DOIs	https://doi.org/10.3934/dcdss.2014.7.191
State	Published - Sep 2013

Bibliographical note

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

ASJC Scopus subject areas

Analysis
Applied Mathematics
Discrete Mathematics and Combinatorics

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10.3934/dcdss.2014.7.191

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title = "Study of degenerate parabolic system modeling the hydrogen displacement in a nuclear waste repository",

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.",

author = "Florian Caro and Saad, {Bilal Mohammed} and Saad, {Mazen Naufal B M}",

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

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doi = "10.3934/dcdss.2014.7.191",

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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

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EP - 205

JO - Discrete and Continuous Dynamical Systems - Series S

JF - Discrete and Continuous Dynamical Systems - Series S

IS - 2

ER -

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

Abstract

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