optimal ground state energy of two-phase conductors
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ID: 170335
2014
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Abstract
We consider the problem of distributing two conducting materials in a
ball with fixed proportion in order to minimize the first eigenvalue
of a Dirichlet operator. It was conjectured that the optimal
distribution consists of putting the material with the highest conductivity
in a ball around the center. In this paper, we show that the conjecture
is false for all dimensions greater than or equal to two.
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mohammadi2014electronicoptimal
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| Authors | ;Abbasali Mohammadi;Mohsen Yousefnezhad |
| Journal | icsoft 2006 - 1st international conference on software and data technologies, proceedings |
| Year | 2014 |
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