A stationary flow of fresh and salt groundwater in a heterogeneous coastal aquifer
Challal, S. ; Lyaghfouri, A.
Bollettino dell'Unione Matematica Italiana, Tome 3-A (2000), p. 505-533 / Harvested from Biblioteca Digitale Italiana di Matematica

Si stabilisce l'esistenza e l'unicità di una soluzione monotona per il problema di frontiera libera correlato al flusso stazionare d'acqua dolce e salata intorno ad un acquifero eterogeneo. Si provano la continuità e l'esistenza di un limite asintotico della frontiera libera.

Publié le : 2000-06-01
@article{BUMI_2000_8_3B_2_505_0,
     author = {S. Challal and A. Lyaghfouri},
     title = {A stationary flow of fresh and salt groundwater in a heterogeneous coastal aquifer},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {3-A},
     year = {2000},
     pages = {505-533},
     zbl = {0985.76087},
     mrnumber = {1769999},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_2000_8_3B_2_505_0}
}
Challal, S.; Lyaghfouri, A. A stationary flow of fresh and salt groundwater in a heterogeneous coastal aquifer. Bollettino dell'Unione Matematica Italiana, Tome 3-A (2000) pp. 505-533. http://gdmltest.u-ga.fr/item/BUMI_2000_8_3B_2_505_0/

[AD1] 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. | Zbl 0714.35086

[AD2] 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. | MR 1208419 | Zbl 0768.76068

[BV] Bear, J.-Verruijt, A., Modeling Groundwater Flow and Pollution. D. Reidel Publishing Company, Holland (1992).

[C] Chang Hong, J. R., Sur quelques problèmes à frontière libres en Hydrologie, Thèse, Université de Lyon (1987).

[CL1] 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. | MR 1614077 | Zbl 0893.35029

[CL2] 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.

[CCL] 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. | Zbl pre01993598

[GT] Gilbarg, D.-Trudinger, N. S., Elliptic Partial Differential Equations of Second Order. Springer-Verlag, New York (1977). | MR 473443 | Zbl 0361.35003

[L] 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. | MR 1428145 | Zbl 0869.76088