A Stefan problem modelling dissolution and precipitation in porous media
van Tl Tycho Noorden, I. Pop · TU/e Research Portal · 2006
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.