| Issue |
ESAIM: M2AN
Volume 47, Number 2, March-April 2013
|
|
|---|---|---|
| Page(s) | 539 - 554 | |
| DOI | https://doi.org/10.1051/m2an/2012034 | |
| Published online | 11 January 2013 | |
Time-dependent coupling of Navier–Stokes and Darcy flows∗
1 Institute for Mathematics and its
Applications, University of Minnesota, 207 Church Street, Minneapolis, 55455
MN,
USA.
2 Université Pierre et Marie Curie,
Paris VI, Laboratoire Jacques–Louis Lions, 4 place Jussieu, 75252
Paris Cedex 05,
France
3 Rice University, Department of
Computational and Applied Mathematics, 6100 Main St. MS-134, Houston, 77005
TX,
USA.
riviere@caam.rice.edu
Received:
9
September
2011
Revised:
3
May
2012
A weak solution of the coupling of time-dependent incompressible Navier–Stokes equations with Darcy equations is defined. The interface conditions include the Beavers–Joseph–Saffman condition. Existence and uniqueness of the weak solution are obtained by a constructive approach. The analysis is valid for weak regularity interfaces.
Mathematics Subject Classification: 35Q30 / 76N10
Key words: Multiphysics / weak solution / interface conditions / Beavers–Joseph–Saffman
© EDP Sciences, SMAI, 2013
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.