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math.OC2026
Optimal Slicing Problems
Alberto Bressan, Maria Teresa Chiri, Elsa M. Marchini
Given a bounded open set , we consider the problem of slicing this set by a family of curves, whose average length is as small as possible. The first section…
math.OC2026
On the Value Function for a Class of Set Motion Problems
Alberto Bressan, Maria Teresa Chiri, Elsa M. Marchini
The paper considers a class of optimal set motion problems, where the control determines the velocity of boundary points in the normal direction. Results and counterexamples are gi…
math.OC2025
Optimally Controlled Moving Sets with Geographical Constraints
Alberto Bressan, Elsa M. Marchini, Vasile Staicu
The paper is concerned with a family of geometric evolution problems, modeling the spatial control of an invasive population within a region bounded by geographical…