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Geometric properties of the solutions of a Hele-Shaw type equation |
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| Authors: | Konstantin Kornev Alexander Vasil'ev |
| Affiliation: | Institute of Problems in Mechanics, Russian Academy of Sciences, Moscow, Russia ; Departamento de Matemáticas, Universidad de los Andes, Bogotá, Colombia |
| 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. |
| Keywords: | Free boundary Hele-Shaw equation convex function in the positive direction |
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