A Stefan problem modelling crystal dissolution and precipitation

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

doi:10.1093/imamat/hxm060

A Stefan problem modelling crystal dissolution and precipitation

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

Research output: Contribution to journal › Article › Academic › peer-review

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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 language	English
Pages (from-to)	393-411
Journal	IMA Journal of Applied Mathematics
Volume	73
Issue number	2
DOIs	https://doi.org/10.1093/imamat/hxm060
Publication status	Published - 2008

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title = "A Stefan problem modelling crystal dissolution and precipitation",

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.",

author = "{Noorden, van}, T.L. and I.S. Pop",

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AB - 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.

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DO - 10.1093/imamat/hxm060

M3 - Article

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SP - 393

EP - 411

JO - IMA Journal of Applied Mathematics

JF - IMA Journal of Applied Mathematics

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A Stefan problem modelling crystal dissolution and precipitation

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