91 citations · 512 across the 65 of their papers we have counts for
41 papers · 1 filter
Generic Singularities for 2D Pressureless Flow
Alberto Bressan, Geng Chen, Shoujun Huang
In this paper, we consider the Cauchy problem for pressureless gases in two space dimensions with generic smooth initial data (density and velocity). These equations give rise to s…
A remark on the uniqueness of solutions to hyperbolic conservation laws
Alberto Bressan, Camillo De Lellis
Given a strictly hyperbolic system of conservation laws, it is well known that there exists a unique Lipschitz semigroup of weak solutions, defined on a domain of funct…
Unique Solutions to Hyperbolic Conservation Laws with a Strictly Convex Entropy
Alberto Bressan, Graziano Guerra
Consider a strictly hyperbolic system of conservation laws, where each characteristic field is either genuinely nonlinear or linearly degenerate. In this standard setti…
Shock interactions for the Burgers-Hilbert Equation
Alberto Bressan, Sondre T. Galtung, Katrin Grunert +1
This paper provides an asymptotic description of a solution to the Burgers-Hilbert equation in a neighborhood of a point where two shocks interact. The solution is obtained as the…
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…