Hyperbolic balance laws: interplay between scales and randomness. Abstracts from the workshop held February 25 – March 1, 2024. (English) Zbl 07921244
Summary: Hyperbolic 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.
MSC:
| 35-06 | Proceedings, conferences, collections, etc. pertaining to partial differential equations |
| 00B05 | Collections of abstracts of lectures |
| 00B25 | Proceedings of conferences of miscellaneous specific interest |
| 35L65 | Hyperbolic conservation laws |
| 35L40 | First-order hyperbolic systems |
| 35L60 | First-order nonlinear hyperbolic equations |
| 35R60 | PDEs with randomness, stochastic partial differential equations |
| 65M08 | Finite volume methods for initial value and initial-boundary value problems involving PDEs |
| 60H15 | Stochastic partial differential equations (aspects of stochastic analysis) |
| 76F10 | Shear flows and turbulence |
| 82B40 | Kinetic theory of gases in equilibrium statistical mechanics |
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