36 citations · 113 across the 9 of their papers we have counts for
9 papers
Long-time shadow limit for reaction-diffusion-ODE systems
Chris Kowall, Anna Marciniak-Czochra, Andro Mikelić
Shadow systems are an approximation of reaction-diffusion-type problems obtained in the infinite diffusion coefficient limit. They allow reducing complexity of the system and hence…
Homogenization of the linearized ionic transport equations in random porous media
Andro Mikelic, Andrey Piatnitski
In this paper we extend the homogenization results obtained in (G. Allaire, A. Mikelić, A. Piatnitski, J. Math. Phys. 51 (2010), 123103) for a system of partial differential equati…
Derivation of a poroelastic flexural shell model
Andro Mikelic, Josip Tambaca
In this paper we investigate the limit behavior of the solution to quasi-static Biot's equations in thin poroelastic flexural shells as the thickness of the shell tends to zero and…
Role of non-ideality for the ion transport in porous media: derivation of the macroscopic equations using upscaling
Gregoire Allaire, Robert Brizzi, Jean-Francois Dufreche +2
This paper is devoted to the homogenization (or upscaling) of a system of partial differential equations describing the non-ideal transport of a N-component electrolyte in a dilute…
A nonlinear effective slip interface law for transport phenomena between a fracture flow and a porous medium
Anna Marciniak-Czochra, Andro Mikelic
We present modeling of an incompressible viscous flow through a fracture adjacent to a porous medium. We consider a fast stationary flow, predominantly tangential to the porous med…
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…
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…
Effective pressure interface law for transport phenomena between an unconfined fluid and a porous medium using homogenization
Anna Marciniak-Czochra, Andro Mikelic
We present modeling of the incompressible viscous flows in the domain containing an unconfined fluid and a porous medium. For such setting a rigorous derivation of the Beavers-Jose…
Global-in-time solutions for the isothermal Matovich-Pearson equations
Eduard Feireisl, Philippe Laurencot, Andro Mikelic
In this paper we study the Matovich-Pearson equations describing the process of glass fiber drawing. These equations may be viewed as a 1D-reduction of the incompressible Navier-St…