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

DOI10.1090/S0002-9939-00-05348-XzbMath0956.35110OpenAlexW1706811170MaRDI QIDQ4490230

Alexander Vasil'ev, K. G. Kornev

Publication date: 10 July 2000

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-00-05348-x

zbMATH Keywords

invarianceconvexity preservationHele-Shaw type equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Free boundary problems for PDEs (35R35) Other free boundary flows; Hele-Shaw flows (76D27)

Related Items (8)

Some remarks on certain invariant geometric properties in Hele-Shaw flows ⋮ Invariant geometric properties in Hele-Shaw flows ⋮ Some geometrical properties of free boundaries in the Hele-Shaw flows ⋮ Strongly \(\varPhi \)-like functions of order \(\alpha \) in two-dimensional free boundary problems ⋮ Editorial. Dedication to Alexander Vasil'ev (1962--2016) ⋮ A special class of univalent functions in Hele-Shaw flow problems ⋮ Univalent functions in the dynamics of viscous flows ⋮ In memoriam Alexander Vasil'ev (1962--2016)

Cites Work

• On geometrical properties of free boundaries in the Hele-Shaw flow moving boundary problem
• A simplified proof for a moving boundary problem for Hele-Shaw flows in the plane
• Complex variable methods in Hele–Shaw moving boundary problems
• On the classification of solutions to the zero-surface-tension model for Hele-Shaw free boundary flows
• Unnamed Item

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