This article is cited in 6 papers

Polynomial solutions to the Hele–Shaw problem

O. S. Kuznetsova

Volgograd State University

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

UDC: 517.54+517.968.74

Received: 20.09.2000

 English version: Siberian Mathematical Journal, 2001, 42:5, 907–915

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