The 20th International Conference on Hyperbolic Problems: Theory, Numerics and Applications (HYP2026) took place at the University of Stuttgart at the end of May. More than 300 scientists from around the world exchanged views on the latest research findings regarding hyperbolic problems. These are mathematical models used to describe fluid flow, wave motion, and other convection-dominated processes. They are fundamental for a wide range of applications in natural and engineering sciences.
The core programme of the conference consisted of seventeen keynote lectures given by leading mathematicians in the field of hyperbolic balance equations. More than 200 contributed talks addressed various topics ranging from analysis, modelling, numerics to aspects of scientific computing, data sciences, and stochastics. HYP2026 was planned and organised by Maria Lukacova (Johannes Gutenberg University Mainz) and our SFB 1313 deputy spokesman and project leader Christian Rohde (University of Stuttgart).
General Information
The objective of this conference was to bring together researchers and students interested in the theoretical, numerical and application aspects of hyperbolic PDEs and other related models. The HYP2026 conference provided an inspiring and productive forum for getting acquainted with the most recent developments in hyperbolic problems, stimulating and exchanging new ideas from different disciplines, and formulating new, challenging problems that will impact diverse fields of application. The conference aimed to maintain the traditional balance of the HYP series by blending theory, numerics and applications.
It covered a wide range of topics including:
- Theory and applications of hyperbolic balance laws
- Euler and Navier-Stokes equations, other PDEs in fluid dynamics
- Nonlinear wave equations and general relativity
- Kinetic equations and scaling limits of interacting particle systems
- Multifield problems, mixed-type PDEs, and PDEs of mathematical physics
- Stochastic evolution equations of hyperbolic type
- Multiscale problems and asymptotic modeling
- Numerical methods and scientific computing
- Optimization, control problems and inverse modeling
- Machine learning and data science aspects of hyperbolic conservation laws
Christian Rohde
Prof. Dr. rer. nat.Deputy Spokesperson, Project Leader, Research Projects A05, B03, C02, Project MGK