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.References
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Additional Information
- Konstantin Kornev
- Affiliation: Institute of Problems in Mechanics, Russian Academy of Sciences, Moscow, Russia
- Email: kidin@ipm.msk.su
- Alexander Vasil’ev
- Affiliation: Departamento de Matemáticas, Universidad de los Andes, Bogotá, Colombia
- MR Author ID: 225056
- Email: avassill@uniandes.edu.co
- Received by editor(s): May 26, 1998
- Received by editor(s) in revised form: October 27, 1998
- Published electronically: February 25, 2000
- Additional Notes: The authors were supported in part by the Russian Foundation for Basic Research, Grants #98-01-00842, #98-15-96002.
- Communicated by: Albert Baernstein II
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 2683-2685
- MSC (1991): Primary 35Q35; Secondary 30C45
- DOI: https://doi.org/10.1090/S0002-9939-00-05348-X
- MathSciNet review: 1664386