Cesmelioglu, AycilGirault, VivetteRiviere, Beatrice2013-07-122013-07-122013Cesmelioglu, Aycil, Girault, Vivette and Riviere, Beatrice. "Time-Dependent Coupling of Navier-Stokes and Darcy Flows." <i>ESAIM: Mathematical Modelling and Numerical Analysis,</i> 47, (2013) Cambridge University Press: 539-554. http://dx.doi.org/10.1051/m2an/2012034.https://hdl.handle.net/1911/71551A weak solution of the coupling of time-dependent incompressible NavierﾖStokes equations with Darcy equations is defined. The interface conditions include the BeaversﾖJosephﾖSaffman condition. Existence and uniqueness of the weak solution are obtained by a constructive approach. The analysis is valid for weak regularity interfaces.engArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.Journal articlehttp://dx.doi.org/10.1051/m2an/2012034