5 papers
On a system of conservation laws with discontinuous flux
Felisia Angela Chiarello, Simone Fagioli, Bastien Polizzi +1
We study a one-dimensional system of conservation laws with discontinuous flux. We prove the global existence of weak solutions for initial data with sufficiently small total…
Two-species system with nonlocal interactions driven by Riesz potentials
Simone Fagioli, Valeria Iorio
This paper investigates a system of nonlocal continuity equations modelling the interaction of two species coupled through Riesz-type potentials. The model incorporates self- and c…
On stability of one-dimensional Hughes' dynamics with affine costs
Boris Andreianov, Simone Fagioli, Massimiliano D. Rosini +1
We investigate stability issues for the one-dimensional variant of the celebrated Hughes model for pedestrian evacuation. The cost function is assumed to be affine, which is a sett…
Existence result for a 2 x 2 system of conservation laws with discontinuous flux and applications
Felisia Angela Chiarello, Simone Fagioli, Massimiliano Daniele Rosini
This paper is concerned with one-dimensional 2 x 2 systems of conservation laws with a flux f=f(x, U) that is discontinuous with respect to the spatial variable. No monotonicity as…
Nonlinear diffusion equations with degenerate fast-decay mobility by coordinate transformation
N. Ansini, S. Fagioli
We prove an existence and uniqueness result for solutions to nonlinear diffusion equations with degenerate mobility posed on a bounded interval for a certain density . In case o…