Crystal dissolution and precipitation in porous media : L1-contraction and uniqueness

T.L. Noorden, van, I.S. Pop, M. Röger

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

Abstract

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.
Original languageEnglish
Title of host publicationProceedings of the 6th AIMS International Conference on Dynamical Systems, Differential Equations and Applications, 25-28 June 2006, Poitiers, France
EditorsB. Belinskiy
PublisherAIMS
Pages1013-1020
DOIs
Publication statusPublished - 2007

Publication series

NameAIMS Proceedings
PublisherAmerican Institute of Mathematical Sciences
Numbersupplement
Volume2007

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