10 citations · 52 across the 26 of their papers we have counts for
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math.AP2017
Non Local Conservation Laws in Bounded Domains
Elena Rossi, Rinaldo M. Colombo
The well posedness for a class of non local systems of conservation laws in a bounded domain is proved and various stability estimates are provided. This construction is motivated…
math.AP2017★ 10 cited
On the Braess Paradox with Nonlinear Dynamics and Control Theory
Rinaldo M. Colombo, Helge Holden
We show the existence of the Braess paradox for a traffic network with nonlinear dynamics described by the Lighthill-Whitham-Richards model for traffic flow. Furthermore, we show h…
math.AP2017
Polynomial Profits in Renewable Resources Management
Rinaldo M. Colombo, Mauro Garavello
A system of renewal equations on a graph provides a framework to describe the exploitation of a biological resource. In this context, we formulate an optimal control problem, prove…