On the optimal insulation of conductors

SJ Cox, B Kawohl, PX Uhlig - Journal of optimization theory and …, 1999 - Springer
We coat a conductor with an insulator and equate the effectiveness of this procedure with
the rate at which the body dissipates heat when immersed in an ice bath. In the limit, as the …

Extrema of Low Eigenvalues of the Dirichlet–Neumann Laplacian on a Disk

E Legendre - Canadian Journal of Mathematics, 2010 - cambridge.org
We study extrema of the first and the second mixed eigenvalues of the Laplacian on the disk
among some families of Dirichlet–Neumann boundary conditions. We show that the …