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.
|Title of host publication||Proceedings of the 6th AIMS International Conference on Dynamical Systems, Differential Equations and Applications, 25-28 June 2006, Poitiers, France|
|Publication status||Published - 2007|
|Publisher||American Institute of Mathematical Sciences|