We investigate the well-posedness of a coupled Stokes-Darcy model with Beavers-Joseph interface boundary
conditions. In the steady-state case, the well-posedness is established
under the assumption of a small coefficient in the Beavers-Joseph interface boundary condition. In
the time-dependent case, the well-posedness is established via an appropriate time discretization of
the problem and a novel scaling of the system under an isotropic media assumption. Such coupled
systems are crucial to the study of subsurface flow problems, in particular, flows in karst aquifers.
Publié le : 2010-03-15
Classification:
Stokes and Darcy system,
fluid and porous media flow,
Beavers-Joseph interface boundary condition,
well-posedness,
time discretization,
finite element approximation,
35Q35,
65M60,
76D07,
76S05,
86A05
@article{1266935011,
author = {Cao, Yanzhao and Gunzburger, Max and Hua, Fei and Wang, Xiaoming},
title = {Coupled Stokes-Darcy model with Beavers-Joseph interface boundary condition},
journal = {Commun. Math. Sci.},
volume = {8},
number = {1},
year = {2010},
pages = { 1-25},
language = {en},
url = {http://dml.mathdoc.fr/item/1266935011}
}
Cao, Yanzhao; Gunzburger, Max; Hua, Fei; Wang, Xiaoming. Coupled Stokes-Darcy model with Beavers-Joseph interface boundary condition. Commun. Math. Sci., Tome 8 (2010) no. 1, pp. 1-25. http://gdmltest.u-ga.fr/item/1266935011/