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Crystal dissolution and precipitation in porous media: L$^1$-contraction and uniqueness

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  • 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.
    Mathematics Subject Classification: Primary: 35R70, 80A32; Secondary: 35K60, 76S05.

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