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We present a continuum model describing dissolution and growth of a crystalcontact confined against a substrate. Diffusion and hydrodynamics in the liquidfilm separating the crystal and the substrate are modeled within thelubrication approximation. The model also accounts for the disjoining pressureand surface tension. Within this framework, we obtain evolution equations whichgovern the non-equilibrium dynamics of the crystal interface. Based on thismodel, we explore the problem of dissolution under an external load, known aspressure solution. We find that in steady-state, diverging (power-law)crystal-surface repulsions lead to flat contacts with a monotonic increase ofthe dissolution rate as a function of the load. Forces induced by viscousdissipation then surpass those due to disjoining pressure at large enoughloads. In contrast, finite repulsions (exponential) lead to sharp pointycontacts with a dissolution rate independent on the load and on the liquidviscosity. Ultimately, in steady-state the crystal never touches the substratewhen pressed against it, independently from the nature of the crystal-surfaceinteraction due to the combined effects of viscosity and surface tension.

Thin film modeling of crystal dissolution and growth in confinement