Modeling wells in porous media flows
Fabrie, Pierre ; Gallouët, Thierry
HAL, hal-00003333 / Harvested from HAL
In this paper, we prove the existence of weak solutions for mathematical models of miscible and immiscible flows through porous medium. An important difficulty comes from the modelization of the wells, which does not allow us to use classical variational formulations of the equations.
Publié le : 2000-07-05
Classification:  measure data,  nonlinear parabolic equation,  porous media,  existence of solutions,  AMS: 35K55, 35K60, 76S05,  [MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA]
@article{hal-00003333,
     author = {Fabrie, Pierre and Gallou\"et, Thierry},
     title = {Modeling wells in porous media flows},
     journal = {HAL},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00003333}
}
Fabrie, Pierre; Gallouët, Thierry. Modeling wells in porous media flows. HAL, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/hal-00003333/