91 citations · 512 across the 65 of their papers we have counts for
68 papers
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…
Optimal Solutions for a Class of Set-Valued Evolution Problems
Stefano Bianchini, Alberto Bressan, Maria Teresa Chiri
The paper is concerned with a class of optimization problems for moving sets , motivated by the control of invasive biological populations. Assumin…
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…
Controlled Traveling Profiles for Models of Invasive Biological Species
Alberto Bressan, Minyan Zhang
We consider a family of controlled reaction-diffusion equations, describing the spatial spreading of an invasive biological species. For a given propagation speed , w…
Generic Properties of First Order Mean Field Games
Alberto Bressan, Khai T. Nguyen
We consider a class of deterministic mean field games, where the state associated with each player evolves according to an ODE which is linear w.r.t. the control. Existence, unique…