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Asymptotic study for Stokes-Brinkman model with jump embedded transmission conditions
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.
Cited literature [8 references]
https://hal.inria.fr/hal-01184429
Contributor : Victor Péron Connect in order to contact the contributor
Submitted on : Friday, August 14, 2015 - 2:53:31 PM
Last modification on : Wednesday, November 3, 2021 - 9:56:17 AM
Long-term archiving on: : Sunday, November 15, 2015 - 11:10:04 AM
Contributor : Victor Péron Connect in order to contact the contributor
Submitted on : Friday, August 14, 2015 - 2:53:31 PM
Last modification on : Wednesday, November 3, 2021 - 9:56:17 AM
Long-term archiving on: : Sunday, November 15, 2015 - 11:10:04 AM
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StokesBrink.pdf
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