Published July 2018
| Version v1
Journal article
Non Local Conservation Laws in Bounded Domains
- Creators
- Rossi, Elena
- Colombo, Rinaldo M.
- Others:
- Analysis and Control of Unsteady Models for Engineering Sciences (ACUMES) ; Inria Sophia Antipolis - Méditerranée (CRISAM) ; Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)
- Università degli Studi di Brescia = University of Brescia (UniBs)
Description
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 by the modelling of crowd dynamics, which also leads to define a non local operator adapted to the presence of a boundary. Numerical integrations show that the resulting model provides qualitatively reasonable solutions.
Abstract
International audience
Additional details
- URL
- https://hal.inria.fr/hal-01634435
- URN
- urn:oai:HAL:hal-01634435v1
- Origin repository
- UNICA