1921
Nonlinear Hyperbolic Problems: modeling, analysis, and numerics
Workshop
1921Period
19 May - 25 May 2019Abstract
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.