Steady filtration problems with seawater intrusion: Variational analysis

Computer Methods in Applied Mechanics and Engineering

Volumn 151, Issue 1-2, 1998, Pages 13-25

  Alduncin, Gonzalo ^a   Esquivel Avila, Jorge ^b   Reyes Avila, Luis ^a  

^a UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO   (Mexico)

^b DEPARTAMENTO DE FÍSICA   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

AQUIFERS; BOUNDARY VALUE PROBLEMS; MATHEMATICAL MODELS; PROBLEM SOLVING;

SEAWATER INTRUSION; STEADY FILTRATION PROBLEMS;

VARIATIONAL TECHNIQUES;

AQUIFER; COAST; FILTRATION; SEA WATER;

EID: 0031963503     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(97)00111-4     Document Type: Article

References (17)

1. C. Baiocchi, Sur un problème à frontière libre traduisant le filtrage de liquides à travers des milieux poreux, C. R. Acad. Sc. Paris, Série A 273 (1971) 1215-1217.
2. C. Baiocchi, Su un problema di frontiera libera connesso a questioni di idraulica, Ann. Mat. Pura Appl. 4 (1972) 107-127.
3. J.T. Oden and N. Kikuchi, Recent advances: Theory of variational inequalities with applications to problems of flow through porous media, Int. J. Engrg. Sci. 18 (1984) 1173-1284.
4. H. Brezis, D. Kinderlehrer and G. Stampacchia, Sur une nouvelle formulation du problème de l'écoulement à travers une digue, C. R. Acad. Sc. Paris, Série A 287 (1978) 711-714.
5. H.W. Alt, Free boundary problem associated with the flow of ground water, Arch. Rat. Mech. Anal. 64 (1977) 111-126.
6. H.W. Alt, Strömungen durch inhomogene poröse Medien mit freiem Rand, J. Reine Angew. Math. 305 (1979) 89-115.
7. C. Baiocchi, V. Comincioli, E. Magenes and G.A. Pozzi, Free boundary problems in the theory of fluid flow through porous media: Existence and uniqueness theorems, Ann. Mat. Pura. Appl. 4 (1973) 1-82.
8. C. Baiocchi, V. Comincioli, L. Guerri and G. Volpi, Free boundary problems in the theory of fluid flow through porous media: A numerical approach, Calcolo 10 (1973) 1-85.
9. H.W. Alt and C.J. van Duijn, A stationary flow of fresh and salt groundwater in a coastal aquifer, Nonlinear Anal. Th. Meth. Appl. 14 (1990) 625-656.
10. H.W. Alt, L.A. Caffarelli and A. Friedman, The dam problem with two fluids, Comm. Pure Appl. Math. 37 (1984) 601-645.
11. H. Brezis, The dam problem revisited, in: A. Fasano and M. Primicerio, eds., Free Boundary Problems: Theory and Applications, Vol. I (Pitman, Boston, 1983) 77-87.
12. J. Carrillo-Menendez and M. Chipot, On the dam problem, J. Diff. Equations 45 (1982) 234-271.
13. M. Chipot, Variational Inequalities and Flow in Porous Media (New York, Springer, 1984).
14. G. Alduncin and J. Esquivel-Avila, Finite element approximations of filtration free boundary problems, in: Proc. Second World Congress on Computational Mechanics (University of Stuttgart, 1990) 654-657.
15. G. Alduncin, Subdifferential and variational formulations of boundary value problems, Comput. Meths. Appl. Mech. Engrg. 72 (1989) 173-186.
16. H.W. Alt and G. Gilardi, The behavior of the free boundary for the dam problem, Ann. Scu. Norm. Sup. Pisa 9 (1982) 571-626.
17. H.W. Alt, The dam problem: in A. Fasano and M. Primicerio, eds., Free Boundary Problems: Theory and Applications, Vol. I (Pitman, Boston, 1983) 52-68.