91 citations · 512 across the 65 of their papers we have counts for
9 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…
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…
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…
Markovian Solutions to Discontinuous ODEs
Alberto Bressan, Marco Mazzola, Khai T. Nguyen
Given a possibly discontinuous, bounded function , we consider the set of generalized flows, obtained by assigning a probability measure on the set o…
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…
On a Shape Optimization Problem for Tree Branches
Alberto Bressan, Sondre T. Galtung
This paper is concerned with a shape optimization problem, where the functional to be maximized describes the total sunlight collected by a distribution of tree leaves, minus the c…