Stability estimates for scalar conservation laws with moving flux constraints

Type: Article

Publication Date: 2017-01-01

Citations: 15

DOI: https://doi.org/10.3934/nhm.2017010

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.

Locations

  • Networks and Heterogeneous Media - View - PDF
  • HAL (Le Centre pour la Communication Scientifique Directe) - View - PDF

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