CC BY-SA 4.0 Unportedhttps://creativecommons.org/licenses/by-sa/4.0/Abgrall, RémiGaravello, MauroLukáčová-Medvid'ová, MáriaTrivisa, Konstantina2024-10-182024-10-182024https://oa.tib.eu/renate/handle/123456789/17137https://doi.org/10.34657/16159Hyperbolic balance laws are fundamental in the mathematical modeling of transport-dominated processes in natural, socio-economic and engineering sciences. The aim of the workshop was to discuss open questions in the area of nonlinear hyperbolic conservation and balance laws. We have focused on a delicate interplay between scale hierarchies and random/stochastic effects and discuss them from analytical, numerical and modeling point of view. This leads to questions of admissibility criteria connecting to ill-posedness of weak entropy solutions, hyperbolic problems with non-local terms, mean field theory, multiscale and structure preserving numerical methods, random solutions and uncertainty quantification methods, as well as data-based methods.eng510ArticleKonferenzschrift