36 citations · 113 across the 9 of their papers we have counts for
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math.AP2012★ 23 cited
Asymptotic analysis of the Poisson-Boltzmann equation describing electrokinetics in porous media
Gregoire Allaire, Jean-Francois Dufreche, Andro Mikelic +1
We consider the Poisson-Boltzmann equation in a periodic cell, representative of a porous medium. It is a model for the electrostatic distribution of chemical species diluted i…
math.AP2012★ 36 cited
A Rigorous Derivation of the Equations for the Clamped Biot-Kirchhoff-Love Poroelastic plate
Anna Marciniak-Czochra, Andro Mikelic
In this paper we investigate the limit behavior of the solution to quasi-static Biot's equations in thin poroelastic plates as the thickness tends to zero. We choose Terzaghi's tim…