A Stefan problem modelling crystal dissolution and precipitation |
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| Authors: | van Noorden T L; Pop I S |
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| Institution: |
Department of Mathematics and Computer Science, Technische Universiteit Eindhoven, PO Box 513, 5600 MB Eindhoven, The Netherlands
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| Abstract: | A simple 1D model for crystal dissolution and precipitationis presented. The model equations resemble a one-phase Stefanproblem and involve non-linear and multivalued exchange ratesat the free boundary. The original equations are formulatedon a variable domain. By transforming the model to a fixed domainand applying a regularization, we prove the existence and uniquenessof a solution. The paper is concluded by numerical simulations. |
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| Keywords: | evolution system existence free boundary multivalued rate regularization Stefan problem uniqueness |
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