On the non-starlikeness of solutions to the starlike interior wake problem

Author:
Andrew Acker

Journal:
Proc. Amer. Math. Soc. **134** (2006), 749-753

MSC (2000):
Primary 35R35, 76B07

DOI:
https://doi.org/10.1090/S0002-9939-05-07991-8

Published electronically:
July 18, 2005

MathSciNet review:
2180893

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We study examples of the starlike interior â€śwake problem" for which no starlike solution exists relative to the natural star center of the problem. These examples show that the main result of D.E. Tepper in â€śA mathematical model for a wakeâ€ť (Michigan Math. J. **31** (1984), 161â€“165) is not correct.

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Additional Information

**Andrew Acker**

Affiliation:
Department of Mathematics and Statistics, Wichita State University, Wichita, Kansas 67208-0033

Email:
acker@math.wichita.edu

Keywords:
Ideal fluid,
free boundary,
geometric constraint,
cavitation,
starlikeness

Received by editor(s):
July 1, 2004

Received by editor(s) in revised form:
October 8, 2004

Published electronically:
July 18, 2005

Communicated by:
Richard A. Wentworth

Article copyright:
© Copyright 2005
American Mathematical Society