Hyperbolic Conservation Laws

Abstract

The subject of this workshop concerned the analysis and numerical investigation of hyperbolic systems. In particular the interactions between theoretical and numerical contributions were in the focus of this meeting. Many theoretical results have been initiated by numerical methods and experiments and rigorous numerical results are based on fundamental theorems. In particular during this workshop recent results about hyperbolic Monge Ampere systems, elastodynamics, dissipation in systems of conservation laws, Boussinesq, Boltzmann and (error control for the) Navier Stokes equations, mixture of fluids, anelastic and weakly compressible models for atmospherical flows, hydrodynamic limits, wetting and drying for shallow water problems, potential flows, divergence free transport equations, initial boundary Riemann problems, various Discontinuous Galerkin and operator splitting methods, IMEX schemes, entropy stable methods, well balancing schemes, convergence rate for the Glimm scheme and reduced basis methods for conservation laws were discussed.