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

作者：Angot Philippe; Carbou Gilles; Peron Victor^*

来源：Asymptotic Analysis, 2016, 96(3-4): 223-249.

DOI：10.3233/ASY-151336

• porous media
• Stokes equation
• Brinkman model
• WKB expansion

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.

• 出版日期2016