9 citations · 9 across the 4 of their papers we have counts for
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math.AP2020
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…
math.AP2020★ 9 cited
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…
math.AP2020
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…