11 citations · 13 across the 10 of their papers we have counts for
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math.AP2018
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…
math.OC2018
Lagrangian formulation for mixed traffic flow including two-wheelers
Sosina Gashaw, Jérôme Härri, Paola Goatin
Lagrangian formulation of kinematic wave provides a more accurate representation than the most commonly used Eulerian formulation. Furthermore, Lagrangian representation offers a f…
math.AP2018
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…