On the nonstarlikeness of solutions to the starlike interior wake problem
Author:
Andrew Acker
Journal:
Proc. Amer. Math. Soc. 134 (2006), 749753
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), 161165) is not correct.
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 A. ACKER: Heat flow inequalities with application to heat flow optimization problems. SIAM J. Math. Anal 8(1977), pp. 604618. MR 0473960 (57:13618)
 [A2]
 A. ACKER: Some free boundary optimization problems and their solutions. Numerische Behandlung von Differentialgleichungen mit besonderer Berucksichtigung freier Randwertaufgaben (J. Albrecht, L. Collatz, G. Hammerlin, editors), Birkhäuser Verlag, Basel 1978, pp. 922. (Proceedings of the conference by the same name held at the Mathematisches Forschungsinstitut Oberwolfach, Germany, May 17, 1977.) MR 0497989 (80m:35078)
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Additional Information
Andrew Acker
Affiliation:
Department of Mathematics and Statistics, Wichita State University, Wichita, Kansas 672080033
Email:
acker@math.wichita.edu
DOI:
http://dx.doi.org/10.1090/S0002993905079918
PII:
S 00029939(05)079918
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
