91 citations · 512 across the 65 of their papers we have counts for
5 papers · 2 filters
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…
Entropy Admissibility of the Limit Solution for a Nonlocal Model of Traffic Flow
Alberto Bressan, Wen Shen
We consider a conservation law model of traffic flow, where the velocity of each car depends on a weighted average of the traffic density ahead. The averaging kernel is of expo…
Numerical Study of Non-uniqueness for 2D Compressible Isentropic Euler Equations
Alberto Bressan, Yi Jiang, Hailiang Liu
In this paper, we numerically study a class of solutions with spiraling singularities in vorticity for two-dimensional, inviscid, compressible Euler systems, where the initial data…
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…
A Posteriori Error Estimates for Self-Similar Solutions to the Euler Equations
Alberto Bressan, Wen Shen
The main goal of this paper is to analyze a family of "simplest possible" initial data for which, as shown by numerical simulations, the incompressible Euler equations have multipl…