IMA Journal of Applied Mathematics Advance Access published December 6 , 2007
نویسنده
چکیده
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.
منابع مشابه
Mathematics of Surfaces XII, 12th IMA International Conference, Sheffield, UK, September 4-6, 2007, Proceedings
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تاریخ انتشار 2006