9 citations · 9 across the 4 of their papers we have counts for
5 papers
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…
On the Regularity of Optimal Dynamic Blocking Strategies
Alberto Bressan, Maria Teresa Chiri
The paper studies a dynamic blocking problem, motivated by a model of optimal fire confinement. While the fire can expand with unit speed in all directions, barriers are constructe…
Attainable profiles for conservation laws with flux function spatially discontinuous at a single point
Fabio Ancona, Maria Teresa Chiri
Consider a scalar conservation law with discontinuous flux \begin{equation*}\tag{1} \quad u_{t}+f(x,u)_{x}=0, \qquad f(x,u)= \begin{cases} f_l(u)\ &\text{if}\ x<0,\\ f_r(u)\ & \tex…
Soil searching by an artificial root
Fabio Ancona, Alberto Bressan, Maria Teresa Chiri
We model an artificial root which grows in the soil for underground prospecting. Its evolution is described by a controlled system of two integro-partial differential equations: on…