On a two-phase Hele-Shaw problem with a time-dependent gap and distributions of sinks and sources

@article{Savina2017OnAT,
  title={On a two-phase Hele-Shaw problem with a time-dependent gap and distributions of sinks and sources},
  author={Tatiana Savina and Lanre Akinyemi and Avital Savin},
  journal={Journal of Physics A: Mathematical and Theoretical},
  year={2017},
  volume={51}
}
A two-phase Hele-Shaw problem with a time-dependent gap describes the evolution of the interface, which separates two fluids sandwiched between two plates. The fluids have different viscosities. In addition to the change in the gap width of the Hele-Shaw cell, the interface is driven by the presence of some special distributions of sinks and sources located in both the interior and exterior domains. The effect of surface tension is neglected. Using the Schwarz function approach, we give… 
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