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Journal Articles Asymptotic Analysis Year : 2016

Asymptotic study for Stokes-Brinkman model with jump embedded transmission conditions

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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.
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Dates and versions

hal-01184429 , version 1 (14-08-2015)

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Cite

Philippe Angot, Gilles Carbou, Victor Péron. Asymptotic study for Stokes-Brinkman model with jump embedded transmission conditions. Asymptotic Analysis, 2016, 96 (3-4), pp.223-249. ⟨10.3233/ASY-151336⟩. ⟨hal-01184429⟩
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