91 citations · 512 across the 65 of their papers we have counts for
19 papers · 1 filter
Optimal Solutions for a Class of Set-Valued Evolution Problems
Stefano Bianchini, Alberto Bressan, Maria Teresa Chiri
The paper is concerned with a class of optimization problems for moving sets , motivated by the control of invasive biological populations. Assumin…
Controlled Traveling Profiles for Models of Invasive Biological Species
Alberto Bressan, Minyan Zhang
We consider a family of controlled reaction-diffusion equations, describing the spatial spreading of an invasive biological species. For a given propagation speed , w…
Generic Properties of First Order Mean Field Games
Alberto Bressan, Khai T. Nguyen
We consider a class of deterministic mean field games, where the state associated with each player evolves according to an ODE which is linear w.r.t. the control. Existence, unique…
Optimal Control of Moving Sets
Alberto Bressan, Maria Teresa Chiri, Najmeh Salehi
Motivated by the control of invasive biological populations, we consider a class of optimization problems for moving sets . Given an initial set $…
On the Optimal Control of Propagation Fronts
Alberto Bressan, Maria Teresa Chiri, Najmeh Salehi
We consider a controlled reaction-diffusion equation, motivated by a pest eradication problem. Our goal is to derive a simpler model, describing the controlled evolution of a conta…
Optimal Shapes for Tree Roots
Alberto Bressan, Sondre T. Galtung, Qing Sun
The paper studies a class of variational problems, modeling optimal shapes for tree roots. Given a measure describing the distribution of root hair cells, we seek to maximize a…