About the ProHyp Conference
This is the 4th edition of the biannual workshop on Perspectives on Multiphase Fluid Dynamics, Continuum Mechanics and Hyperbolic Balance Laws. After the previous three editions held in Magdeburg in 2020, Marseille in 2022 and Trento in 2024, it is our pleasure to welcome you in Strasbourg for the 2026 edition which will be held from June 1st to June 5th at the University of Strasbourg.
We are very happy to announce that this year's event will be joint with the
8th Workshop on Compressible Multiphase flows
an annual conference held at the Institute de recherche mathématique avancée (IRMA) of the University of Strasbourg, also known as EDF-IRMA Multiphase workshop, see the previous editions in 2023, 2024 and 2025, as well as the proceedings from the first workshop in 2018, the second in 2019 and the third and fourth in 2021 and 2022.
Objectives and Topics
The objective of the workshop is to bring together theoreticians, modelling and numerical scientists working on multiphase flows, hyperbolic equations and continuum mechanics. The topics include, but not only,
- Modelling, analysis and numerical simulation of multiphase flows
- Advances in hyperbolic models of continuum mechanics and thermodynamics
- Structure-preserving numerical methods for time-dependent PDEs
- Free boundary problems and interface motions
- Phase transition processes
- Modelling and numerical simulation of flows with surface tension
In particular, the modeling, analysis and numerical treatment of multiphase fluid dynamics and multi-physics models from continuum mechanics provide several difficult problems which have been subject to past research but are still posing interesting research questions in current and future research. Often, very problem-specific approaches revealing different mathematical structures are used, making it difficult to provide a unified treatment of these topics.
Recently the interest in works that propose a unified approach is growing. These lead to symmetric hyperbolic systems in the sense of Friedrichs which are derived from physical principles. These hyperbolic models are capable of describing multiphase fluid dynamics as well as continuum mechanics including heat conduction and viscosity which are typically second order effects.
Moreover, the goal is to share modelling methods, difficulties, (rigorous or more phenomenological) analysis, allowing the description of multiphase flows with exchanges (mass transfer, energy exchange…) and apparition of shock waves.
