1 citations · 1 across the 4 of their papers we have counts for
7 papers
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…
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…
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…
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…
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…
The Initial Stages of a Generic Singularity for a 2D Pressureless Gas
Alberto Bressan, Geng Chen, Shoujun Huang
We consider the Cauchy problem for the equations of pressureless gases in two space dimensions. For a generic set of smooth initial data (density and velocity), it is known that th…
One Dimensional Hyperbolic Conservation Laws: Past and Future
Alberto Bressan
Aim of these notes is provide a brief review of the current well-posedness theory for hyperbolic systems of conservation laws in one space dimension, also pointing out open problem…