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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
Published electronically: July 18, 2005
MathSciNet review: 2180893
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Abstract: We study examples of the starlike interior “wake 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 “A mathematical model for a wake” (Michigan Math. J. 31 (1984), 161–165) is not correct.

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Additional Information

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

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