3 papers
math.AP2023
Unconditional flocking for weak solutions to self-organized systems of Euler-type with all-to-all interaction kernel
Debora Amadori, Cleopatra Christoforou
We consider a hydrodynamic model of flocking-type with all-to-all interaction kernel in one-space dimension and establish that the global entropy weak solutions, constructed in [2]…
math.AP2023
The mathematical theory of Hughes' model: a survey of results
Debora Amadori, Boris Andreianov, Marco Di Francesco +9
We provide an overview of the results on Hughes' model for pedestrian movements available in the literature. After the first successful approaches to solving a regularised version…
math.AP2014
Global weak solutions for a model of two-phase flow with a single interface
Debora Amadori, Paolo Baiti, Andrea Corli +1
We consider a simple nonlinear hyperbolic system modeling the flow of an inviscid fluid. The model includes as state variable the mass density fraction of the vapor in the fluid an…