37 citations · 81 across the 34 of their papers we have counts for
4 papers · 2 filters
Two optimization problems in thermal insulation
Dorin Bucur, Giuseppe Buttazzo, Carlo Nitsch
We consider two optimization problems in thermal insulation: in both cases the goal is to find a thin layer around the boundary of the thermal body which gives the best insulation.…
On the honeycomb conjecture for Robin Laplacian eigenvalues
Dorin Bucur, Ilaria Fragala
We prove that the optimal cluster problem for the sum of the first Robin eigenvalue of the Laplacian, in the limit of a large number of convex cells, is asymptotically solved by (t…
Phase field approach to optimal packing problems and related Cheeger clusters
Beniamin Bogosel, Dorin Bucur, Ilaria Fragala
In a fixed domain of we study the asymptotic behaviour of optimal clusters associated to -Cheeger constants and natural energies like the sum or maximum: we prove th…
On the honeycomb conjecture for a class of minimal convex partitions
Dorin Bucur, Ilaria Fragalà, Bozhidar Velichkov +1
We prove that the planar hexagonal honeycomb is asymptotically optimal for a large class of optimal partition problems, in which the cells are assumed to be convex, and the criteri…