10 citations · 28 across the 15 of their papers we have counts for
4 papers · 1 filter
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…
A posteriori Error Estimates for Numerical Solutions to Hyperbolic Conservation Laws
Alberto Bressan, Maria Teresa Chiri, Wen Shen
The paper is concerned with a posteriori error bounds for a wide class of numerical schemes, for hyperbolic conservation laws in one space dimension. These estimates ar…
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…