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