Challal, S. and Lyaghfouri, A.:
A stationary flow of fresh and salt groundwater in a heterogeneous coastal aquifer
Bollettino dell'Unione Matematica Italiana Serie 8 3-B (2000), fasc. n.2, p. 505-533, Unione Matematica Italiana (English)
pdf (372 Kb), djvu (319 Kb). | MR1769999 | Zbl 0985.76087
Sunto
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.
Referenze Bibliografiche
[AD1]
H. W. ALT-
C. J. VAN DUIJN,
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]
H. W. ALT-
C.J. VAN DUIJN,
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] J. BEAR-A. VERRUIJT, Modeling Groundwater Flow and Pollution. D. Reidel Publishing Company, Holland (1992).
[C] J. R. CHANG HONG, Sur quelques problèmes à frontière libres en Hydrologie, Thèse, Université de Lyon (1987).
[CL1]
S. CHALLAL-
A. LYAGHFOURI:
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] S. CHALLAL-A. LYAGHFOURI: 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]
J. CARRILLO-
S. CHALLAL-
A. LYAGHFOURI,
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]
D. GILBARG-
N. S. TRUDINGER,
Elliptic Partial Differential Equations of Second Order.
Springer-Verlag, New York (
1977). |
MR 473443 |
Zbl 0361.35003[L]
A. LYAGHFOURI,
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
Con il contributo del Ministero per i Beni e le Attività Culturali