Siberian Mathematical Journal

, Volume 42, Issue 5, pp 907–915 | Cite as

Polynomial Solutions to the Hele–Shaw Problem

  • O. S. Kuznetsova


We introduce a new class Hn of univalent polynomials and establish that for every polynomial in Hn the Hele–Shaw problem has a polynomial solution w(z;t) for all values t>0. We also demonstrate that the members of Hn are starlike.


Polynomial Solution Univalent Polynomial Shaw Problem 
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Copyright information

© Plenum Publishing Corporation 2001

Authors and Affiliations

  • O. S. Kuznetsova
    • 1
  1. 1.Volgograd State UniversityVolgograd

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