A Stefan problem modelling crystal dissolution and precipitation

T.L. Noorden, van, I.S. Pop

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Abstract

A simple 1D model for crystal dissolution and precipitation is presented. The model equations resemble a one-phase Stefan problem and involve non-linear and multivalued exchange rates at the free boundary. The original equations are formulated on a variable domain. By transforming the model to a fixed domain and applying a regularization, we prove the existence and uniqueness of a solution. The paper is concluded by numerical simulations.
Original languageEnglish
Pages (from-to)393-411
JournalIMA Journal of Applied Mathematics
Volume73
Issue number2
DOIs
Publication statusPublished - 2008

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