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.
@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] -, 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] -, 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] -, Modeling Groundwater Flow and Pollution. D. Reidel Publishing Company, Holland (1992).
[C] , Sur quelques problèmes à frontière libres en Hydrologie, Thèse, Université de Lyon (1987).
[CL1] -: 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] -: 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] --, 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] -, Elliptic Partial Differential Equations of Second Order. Springer-Verlag, New York (1977). | MR 473443 | Zbl 0361.35003
[L] , 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