Crystal dissolution and precipitation in porous media : $L^1$-contraction and uniqueness
van Tl Tycho Noorden, I. Pop, Matthias Röger · TU/e Research Portal · 2007
In this note we continue the analysis of the pore-scale model for crystal dissolution and precipitation in porous media proposed in [C. J. van Duijn and I. S. Pop, Crystal dissolution and precipitation in porous media: pore scale analysis, J. Reine Angew. Math. 577 (2004), 171–211]. There the existence of weak solutions was shown. We prove an L1-contraction property of the pore-scale model. As a direct consequence we obtain the uniqueness of (weak) solutions.