5 papers · 1 filter
Systems of nonlocal conservation laws: well-posedness and the singular limit for a nonlocal generalized Aw-Rascle-Zhang model
Debora Amadori, Felisia Angela Chiarello, Gianmarco Cipollone +2
In this paper, we study a system of nonlocal conservation laws motivated by traffic flow: a nonlocal version of the generalized Aw-Rascle-Zhang (GARZ) model. The nonlocality arises…
Decay of periodic entropy solutions to Euler-alignment systems with non-constant kernel
Debora Amadori, Cleopatra Christoforou, Gianmarco Cipollone
We consider a hydrodynamic model of flocking-type with pressure on the torus, with integrable interaction kernel and density bounded away from zero. We prove that, if an entropy we…
A nonlocal Aw-Rascle-Zhang system with linear pressure term
Debora Amadori, Felisia Angela Chiarello, Gianmarco Cipollone
In this paper, we study a nonlocal extension of the Aw-Rascle-Zhang traffic model, where the pressure-like term is modeled as a convolution between vehicle density and a kernel fun…
Euler-flocking system with nonlocal dissipation in 1D: periodic entropy solutions
D. Amadori, F. A. Chiarello, C. Christoforou
We consider a hydrodynamic model of flocking-type with all-to-all interaction kernel in a periodic domain in one-space dimension with linear pressure term. The main result is the g…
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]…