A three-phase free boundary problem with melting ice and dissolving gas

@article{Ceseri2013ATF,
  title={A three-phase free boundary problem with melting ice and dissolving gas},
  author={Maurizio Ceseri and John M. Stockie},
  journal={European Journal of Applied Mathematics},
  year={2013},
  volume={25},
  pages={449 - 480}
}
  • M. CeseriJ. Stockie
  • Published 3 January 2013
  • Mathematics
  • European Journal of Applied Mathematics
We develop a mathematical model for a three-phase free boundary problem in one dimension that involves interactions between gas, water and ice. The dynamics are driven by melting of the ice layer, while the pressurized gas also dissolves within the meltwater. The model incorporates the Stefan condition at the water–ice interface along with Henry's law for dissolution of gas at the gas–water interface. We employ a quasi-steady approximation for the phase temperatures and then derive a series… 

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