Reactive transport through an array of cells with semi-permeable membranes

On considere la diffusion, la convection et les reactions chimiques non lineaires a travers un arrangement periodique de cellules. On suppose que chaque cellule contient des corps poreux entoures de membranes semi-permeables, c'est-a-dire qu'il y a liaison non lineaire entre les flux et les concentrations sur les interfaces cellules-fluide. Nous considerons la limite, quand le nombre de cellules tend vers l'infini et en meme temps lorsque leur volume tend vers zero, tout en conservant la meme fraction de volume. Notre probleme initial se comporte a grande echelle comme un probleme non lineaire ou interviennent deux echelles d'espace, ― une echelle globale et une echelle locale

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