On the non-starlikeness of solutions to the starlike interior wake problem-Reference-Cited by-同舟云学术

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

Published:2005-07-18 Issue:3 Volume:134 Page:749-753
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Acker Andrew

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2006-134-03/S0002-9939-05-07991-8/S0002-9939-05-07991-8.pdf

Reference10 articles.

1. Heat flow inequalities with applications to heat flow optimization problems;Acker, Andrew;SIAM J. Math. Anal.,1977

2. Some free boundary optimization problems and their solutions;Acker, Andrew,1978

3. A free boundary optimization problem involving weighted areas;Acker, Andrew;Z. Angew. Math. Phys.,1978

4. On the qualitative theory of parametrized families of free boundaries;Acker, Andrew;J. Reine Angew. Math.,1989

5. Uniqueness and monotonicity of solutions for the interior Bernoulli free boundary problem in the convex, 𝑛-dimensional case;Acker, Andrew;Nonlinear Anal.,1989

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