3 papers
math.OC2026
A Mollification Approach to Ramified Transport and Tree Shape Optimization
Alberto Bressan, Giacomo Vecchiato, Ludmil Zikatanov
The paper analyzes a mollification algorithm, for the numerical computation of optimal irrigation patterns. This provides a regularization of the standard irrigation cost functiona…
math.OC2025
Results and open questions on the boundary control of moving sets
Alberto Bressan
These notes provide a survey of recent results and open problems on the boundary control of moving sets. Motivated by the control of an invasive biological species, we consider a c…
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…