The workshop gathered together leading international experts, as well as most promising young researchers, working on the modelling, the mathematical analysis, and the numerical methods for nonlinear hyperbolic partial differential equations (PDEs). The meeting focussed on addressing outstanding issues and identifying promising new directions in all three fields, i.e. modelling, analysis, and numerical discretization. Key questions settled around the lack of well-posedness theories for multidimensional systems of conservation laws and the use of hyperbolic modelling beyond the classical topic of gas dynamics. A focal point in numerics has been the discretization of random evolutions and uncertainty quantification. Equally important, new multi-scale methods and schemes for asymptotic regimes have been considered.
Cite this article
Rinaldo M. Colombo, Philippe G. LeFloch, Christian Rohde, Konstantina Trivisa, Nonlinear Hyperbolic Problems: Modeling, Analysis, and Numerics. Oberwolfach Rep. 16 (2019), no. 2, pp. 1419–1497DOI 10.4171/OWR/2019/24