Stability estimates for scalar conservation laws with moving flux constraints

Maria Laura Delle Monache 1, 2 Paola Goatin 3
2 NECS - Networked Controlled Systems
Inria Grenoble - Rhône-Alpes, GIPSA-DA - Département Automatique
3 Acumes - Analysis and Control of Unsteady Models for Engineering Sciences
CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : 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.
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Maria Laura Delle Monache, Paola Goatin. Stability estimates for scalar conservation laws with moving flux constraints. Networks and Heterogeneous Media, AIMS-American Institute of Mathematical Sciences, 2017, 12 (2), pp.245-258. ⟨10.3934/nhm.2017010⟩. ⟨hal-01380368⟩

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