A stationary flow of fresh and salt groundwater in a heterogeneous coastal aquifer

S. Challal; A. Lyaghfouri

Bollettino dell'Unione Matematica Italiana (2000)

  • Volume: 3-B, Issue: 2, page 505-533
  • ISSN: 0392-4041

How to cite

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Challal, S., and Lyaghfouri, A.. "A stationary flow of fresh and salt groundwater in a heterogeneous coastal aquifer." Bollettino dell'Unione Matematica Italiana 3-B.2 (2000): 505-533. <http://eudml.org/doc/195537>.

@article{Challal2000,
author = {Challal, S., Lyaghfouri, A.},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {fresh groundwater; salt groundwater; heterogeneous two-dimensional coastal aquifer; two-phase free boundary problem; permeability; existence of monotone solutions; asymptotic behavior; continuity of free boundary; uniqueness},
language = {eng},
month = {6},
number = {2},
pages = {505-533},
publisher = {Unione Matematica Italiana},
title = {A stationary flow of fresh and salt groundwater in a heterogeneous coastal aquifer},
url = {http://eudml.org/doc/195537},
volume = {3-B},
year = {2000},
}

TY - JOUR
AU - Challal, S.
AU - Lyaghfouri, A.
TI - A stationary flow of fresh and salt groundwater in a heterogeneous coastal aquifer
JO - Bollettino dell'Unione Matematica Italiana
DA - 2000/6//
PB - Unione Matematica Italiana
VL - 3-B
IS - 2
SP - 505
EP - 533
LA - eng
KW - fresh groundwater; salt groundwater; heterogeneous two-dimensional coastal aquifer; two-phase free boundary problem; permeability; existence of monotone solutions; asymptotic behavior; continuity of free boundary; uniqueness
UR - http://eudml.org/doc/195537
ER -

References

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  1. ALT, H. W.- VAN DUIJN, C. J., A stationary flow of fresh and salt groundwater in coastal aquifer, Nonlinear Analysis, Theory, Methods and Applications, 14, 8 (1990), 652-656. Zbl0714.35086
  2. ALT, H. W.- VAN DUIJN, C.J., A free boundary problem involving a cusp. Part I: Global Analysis, Euro. J. Applied Mathematics., 4 (1993), 39-63. Zbl0768.76068MR1208419
  3. BEAR, J.- VERRUIJT, A., Modeling Groundwater Flow and Pollution. D. Reidel Publishing Company, Holland (1992). 
  4. CHANG HONG, J. R., Sur quelques problèmes à frontière libres en Hydrologie, Thèse, Université de Lyon (1987). 
  5. CHALLAL, S.- LYAGHFOURI, A.: A stationary flow of fresh and salt groundwater in a coastal aquifer with nonlinear Darcy's law, Applicable Analysis, 67 (1997), 295-312. Zbl0893.35029MR1614077
  6. CHALLAL, S.- LYAGHFOURI, A.: A stationary flow of fresh and salt groundwater in a heterogeneous coastal aquifer, Preprint of the Abdus Salam International Centre for Theoretical Physics, Trieste, Italy, IC/98/179. 
  7. CARRILLO, J.- CHALLAL, S.- LYAGHFOURI, A., A free boundary problem for a flow of fresh and salt groundwater with nonlinear Darcy's law, Preprint of the Abdus Salam International Centre for Theoretical Physics, Trieste, Italy, IC/99/4. Zblpre01993598
  8. GILBARG, D.- TRUDINGER, N. S., Elliptic Partial Differential Equations of Second Order. Springer-Verlag, New York (1977). Zbl0361.35003MR473443
  9. LYAGHFOURI, A., The inhomogeneous dam problem with linear Darcy's Law and Dirichlet boundary conditions, Math. Models and Methods in Applied Sciences, 6, 8 (1996), 1051-1077. Zbl0869.76088MR1428145

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