JournalsifbVol. 5, No. 2pp. 183–192

On the geometry of Hele-Shaw flows with small surface tension

  • Alexander Vasil'ev

    Universidad Técnica Federico Santa María, Valparaíso, Chile
  • Irina Markina

    University of Bergen, Norway
On the geometry of Hele-Shaw flows with small surface tension cover
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Abstract

We study the time evolution of the free boundary of a viscous fluid in the non-zero-surface-tension models for planar flows in Hele-Shaw cells under injection. Applying methods of conformal map we prove that certain geometric properties, such as starlikeness and directional convexity, are preserved in time.

Cite this article

Alexander Vasil'ev, Irina Markina, On the geometry of Hele-Shaw flows with small surface tension. Interfaces Free Bound. 5 (2003), no. 2, pp. 183–192

DOI 10.4171/IFB/77