ECM - Ecole Centrale de Marseille : UMR7373 (Pôle de l'étoile, Technopole de Château-Gombert, 38 rue Frédéric Joliot-Curie, 13013 Marseille, France - France)
Abstract : In this paper, one considers the coupling of a Brinkman model and Stokes equations with jump embedded transmission conditions. In this model, one assumes that the viscosity in the porous region is very small. Then we derive a Wentzel–Kramers–Brillouin (WKB) expansion in power series of the square root of this small parameter for the velocity and the pressure which are solution of the transmission problem. This WKB expansion is justified rigorously by proving uniform errors estimates.
https://hal.inria.fr/hal-01184429
Contributor : Victor Péron
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Submitted on : Friday, August 14, 2015 - 2:53:31 PM
Last modification on : Monday, September 9, 2019 - 9:06:02 AM
Long-term archiving on : Sunday, November 15, 2015 - 11:10:04 AM
Philippe Angot, Gilles Carbou, Victor Péron. Asymptotic study for Stokes-Brinkman model with jump embedded transmission conditions. Asymptotic Analysis, IOS Press, 2016, 96 (3-4), pp.223-249. ⟨10.3233/ASY-151336⟩. ⟨hal-01184429⟩
