14 citations · 33 across the 8 of their papers we have counts for
12 papers · 1 filter
On a Hyperbolic-Parabolic Parasitoid-Parasite System: Well Posedness and Control
Rinaldo M. Colombo, Elena Rossi
We develop a time and space dependent predator-prey model. The predators' equation is a non local hyperbolic balance law, while the diffusion of prey obeys a parabolic equation, so…
A multi-lane macroscopic traffic flow model for simple networks
Paola Goatin, Elena Rossi
We prove the well-posedness of a system of balance laws inspired by [8], describing macro-scopically the traffic flow on a multi-lane road network. Motivated by real applications,…
Well-posedness of a non-local model for material flow on conveyor belts
Elena Rossi, Jennifer Kötz, Paola Goatin +1
In this paper, we focus on finite volume approximation schemes to solve a non-local material flow model in two space dimensions. Based on the numerical discretisation with dimensio…
Well-posedness of IBVP for 1D scalar non-local conservation laws
Paola Goatin, Elena Rossi
We consider the initial boundary value problem (IBVP) for a non-local scalar conservation laws in one space dimension. The non-local operator in the flux function is not a mere con…
Well-posedness of general 1D Initial Boundary Value Problems for scalar balance laws
Elena Rossi
We focus on the initial boundary value problem for a general scalar balance law in one space dimension. Under rather general assumptions on the flux and source functions, we prove…
Stability estimates for non-local scalar conservation laws
Felisia Angela Chiarello, Paola Goatin, Elena Rossi
We prove the stability of entropy weak solutions of a class of scalar conservation laws with non-local flux arising in traffic modelling. We obtain an estimate of the dependence of…