Geometric properties of the solutions of a Hele-Shaw type equation

Kornev, Konstantin; Vasil’ev, Alexander

doi:10.1090/S0002-9939-00-05348-X

Geometric properties of the solutions of a Hele-Shaw type equation
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by Konstantin Kornev and Alexander Vasil’ev PDF

Proc. Amer. Math. Soc. 128 (2000), 2683-2685 Request permission

Abstract:

This article deals with the application of the methods of geometric function theory to the investigation of the free boundary problem for the equation describing flows in an unbounded simply-connected plane domain. We prove the invariance of some geometric properties of a moving boundary.

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