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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.
@article{M2AN_2013__47_2_539_0,
author = {Cesmelioglu, Aycil and Girault, Vivette and Rivi\`ere, B\'eatrice},
title = {Time-dependent coupling of {Navier-Stokes} and {Darcy} flows},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
pages = {539--554},
publisher = {EDP-Sciences},
volume = {47},
number = {2},
year = {2013},
doi = {10.1051/m2an/2012034},
mrnumber = {3021697},
zbl = {1267.76096},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an/2012034/}
}
TY - JOUR AU - Cesmelioglu, Aycil AU - Girault, Vivette AU - Rivière, Béatrice TI - Time-dependent coupling of Navier-Stokes and Darcy flows JO - ESAIM: Mathematical Modelling and Numerical Analysis PY - 2013 SP - 539 EP - 554 VL - 47 IS - 2 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/m2an/2012034/ DO - 10.1051/m2an/2012034 LA - en ID - M2AN_2013__47_2_539_0 ER -
%0 Journal Article %A Cesmelioglu, Aycil %A Girault, Vivette %A Rivière, Béatrice %T Time-dependent coupling of Navier-Stokes and Darcy flows %J ESAIM: Mathematical Modelling and Numerical Analysis %D 2013 %P 539-554 %V 47 %N 2 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/m2an/2012034/ %R 10.1051/m2an/2012034 %G en %F M2AN_2013__47_2_539_0
Cesmelioglu, Aycil; Girault, Vivette; Rivière, Béatrice. Time-dependent coupling of Navier-Stokes and Darcy flows. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 47 (2013) no. 2, pp. 539-554. doi: 10.1051/m2an/2012034
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