A Stefan problem modelling dissolution and precipitation in porous media
A Stefan problem modelling dissolution and precipitation in porous media
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模拟多孔介质中溶解和沉淀的 Stefan 问题
DOI：
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发表时间：
2006
期刊：
影响因子：
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通讯作者：
I. Pop
中科院分区：
文献类型：
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作者：
Van Noorden;I. Pop
提出了一个简单的一维晶体溶解和沉淀模型。该模型方程类似于一个单相Stefan问题，涉及非线性和多值的自由边界的汇率。原方程在一个可变域上进行求解。通过将模型变换到一个固定的区域上并应用正则化，我们证明了解的存在唯一性。本文通过数值模拟得出结论。
A simple one-dimensional model for crystal dissolution and precipitation is presented. The model equations resemble a one-phase Stefan problem and involve nonlinear and multi-valued 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.