This project tackles theoretical and numerical issues arising in the mathematical study of conservation laws with non-local flux functions. These equations appear in a variety of applications, ranging from traffic flows to industrial processes and biology, and are intended to model macroscopically the action of non-local interactions occurring at the microscopic level. Targeted applications include vehicular traffic (mainly in connection with vehicle-to-vehicle communication and consumption/
Key words: conservation laws, non-local flux functions, analysis and numerical simulation
Funding: DAAD within the project „PPP France - PROCOPE 2019/2020“; travel expenses for two years
Duration: 01/2019 - 12/2020
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