Existence result for a radionuclide transport model with unbounded viscosity

Journal of Mathematical Fluid Mechanics

Volumn 6, Issue 4, 2004, Pages 365-388

  Choquet, Catherine ^a  

^a UNIVERSITÉ BLAISE PASCAL   (France)

Author keywords

Miscible compressible displacement; Nuclear waste; Porous media

Indexed keywords

COMPRESSIBILITY; CONTAMINATION; LEAKAGE (FLUID); RADIOACTIVE WASTES; TEMPERATURE MEASUREMENT; VISCOSITY;

FAR-FIELD REPOSITORY; MISCIBLE COMPRESSIBLE DISPLACEMENT; RADIACTIVE FILIATION; SALT DOME;

POROUS MATERIALS;

POLLUTANT TRANSPORT; POROUS MEDIUM; RADIOACTIVE WASTE; VISCOSITY;

POROUS MEDIUM; RADIONUCLIDE MIGRATION; VISCOSITY; WASTE DISPOSAL;

EID: 11144338210     PISSN: 14226928     EISSN: 14226952     Source Type: Journal    
DOI: 10.1007/s00021-003-0097-z     Document Type: Article

References (13)

1. Y. AMIRAT, K. HAMDACHE and A. ZIANI, Mathematical analysis for compressible miscible displacement models in porous media, Math. Models Methods Appl. Sci. 6 (1996), 729-747.
2. S. H. CHOU and Q. Li, Numerical analysis of a mixed finite element method for a flow-transport problem, Numer. Methods Partial Differential Equations 12 (1996), 221-233.
3. S. H. CHOU and Q. Li, A mixed finite element approximation for compressible flow of contamination from nuclear waste in porous media, Acta Math. Sci. 18 (1998), 146-157.
4. G. DE MARSILY, Hydrogéologie quantitative, Masson, 1981.
5. R. E. EWING, Y. YUAN and G. Li, Timestepping along characteristics for a mixed finite-element approximation for compressible flow of contamination from nuclear waste in porous media, SIAM J. Numer. Anal. 26 (1989), 1513-1524.
6. P. FABRIE and P. RASETARINERA, Analyse mathématique d'un système de transport-diffusion-réaction modélisant la restauration biologique d'un milieu poreux, Rev. Math. Univ. Complut. Madrid 9 (1996), 393-433.
7. T. GALLOUËT, J. LEDERER, R. LEWANDOWSKI, F. MURAT and L. TARTAR, On a turbulent system with unbounded viscosities, Nonlinear Anal. to appear, 2002.
8. O. A. LADYZHENSKAJA, V. A. SOLONNIKOV and N. N. URAL'CEVA, Linear and Quasilinear Equations of Parabolic Type, Trans. of Math. Monographs, R.I., 1968.
9. B. E. POLING, J. M. PRAUSNITZ and R. C. REID, The properties og gazes and liquids. McGraw-Hill, New York, 1986.
10. M. REEVES and R. M. CRANWELL, User's manual for the sandia waste-isolation flow and transport model, Release 4.81. Sandia Report Nureg/Cr-2324, SAND81-2516, GF, Sandia National Laboratories, Albuquerque, 1981.
11. A. E. SCHEIDEGGER, The Physics of Flow through Porous Media, Univ. Toronto Press, 1974.
12. p(0, T; B), Ann. Math. Pura Appl. 146 (1987), 65-96.
13. F. A. WILLIAMS, Combustion theory: the fundamental theory of chemically reacting flow systems, 2nd ed., Benjamin-Cummings Pub. Co., Menlo Park, Calif., 1985.