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beavers–joseph–saffman

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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Time-dependent coupling of Navier–Stokes and Darcy flows ∗
Aycil Cesmelioglu, Vivette Girault, Béatrice Rivière
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 47 / Issue 2 / March 2013

Published online by Cambridge University Press:

11 January 2013, pp. 539-554

Print publication:

March 2013
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A weak solution of the coupling of time-dependent incompressible Navier–Stokes equationswith Darcy equations is defined. The interface conditions include theBeavers–Joseph–Saffman condition. Existence and uniqueness of the weak solution areobtained by a constructive approach. The analysis is valid for weak regularityinterfaces.