Stability estimates for scalar conservation laws with moving flux constraints

Maria Laura Delle Monache (1, 2) , Paola Goatin (3)

1 Rutgers University [Camden]
2 NECS - Networked Controlled Systems
3 ACUMES - Analysis and Control of Unsteady Models for Engineering Sciences

We study well-posedness of scalar conservation laws with moving flux constraints. In particular, we show the Lipschitz continuous dependence of BV solutions with respect to the initial data and the constraint trajectory. Applications to traffic flow theory are detailed.

Domaines: Equations aux dérivées partielles [math.AP]

Maria Laura Delle Monache, Paola Goatin. Stability estimates for scalar conservation laws with moving flux constraints. Networks and Heterogeneous Media, 2017, 12 (2), pp.245-258. ⟨10.3934/nhm.2017010⟩. ⟨hal-01380368⟩