The 20th International Conference on
Hyperbolic Problems:
Theory, Numerics and
Applications (HYP2026)
University of Stuttgart, Germany, May 25 - 29, 2026
Conference Agenda
Overview and details of the sessions of this conference. Please select a date or location to show only sessions at that day or location. Please select a single session for detailed view (with abstracts and downloads if available).
|
Daily Overview |
| 8:30am | Registration |
|||||
| 9:00am - 9:50am |
PL-02: Plenary Lecture Sigal Gottlieb Location: M17.01 Chair: Eitan Tadmor Strong stability preserving time-evolution of hyperbolic PDEs: bounds and barriers |
|||||
| 9:55am - 10:35am |
IL-02: Invited Lecture Bangwei She Location: M17.01 Chair: Kenneth Karlsen A Lax-type framework for fluid models: convergence and error estimates |
IL-03: Invited Lecture Li Wang Location: M17.02 Chair: Bruno Després Learn to evolve: self-supervised neural operator for nonlinear gradient flows |
||||
| 10:35am - 11:20am |
Coffee Break with Conference Photo |
|||||
| 11:20am - 12:00pm |
IL-04: Invited Lecture Kailiang Wu Location: M17.01 Chair: Raimund Bürger Geometric Quasi-Linearization for bound-preserving schemes: From general framework to unveiling the hidden algebraic-differential relation in MHD |
IL-05: Invited Lecture Elia Brue Location: M17.02 Chair: Alberto Bressan Two-dimensional Euler flows beyond Yudovich |
||||
| 12:00pm - 2:00pm |
Lunch Break |
|||||
| 2:00pm - 3:40pm |
P1-3: Well-Posedness and Regularity Location: M17.12 – 1.005 Chair: Robert Lasarzik Regularity of velocity averages in kinetic equations with heterogeneity 2:25pm - 2:50pm Effective equations for a compressible liquid-vapor flow model 2:50pm - 3:15pm The contribution has been withdrawn. Hypersonic flow and Radon measure-valued solution 3:15pm - 3:40pm The contribution has been withdrawn. On the convergence of quasilinear viscous approximations using compensated compactness and kinetic formulation |
P12-2: Nonlocal Models Location: M17.02 Chair: Laura Caravenna Singular limit for a class of nonlocal conservation laws via compensated compactness 2:25pm - 2:50pm Monotone-based numerical schemes for two-dimensional systems of nonlocal conservation laws 2:50pm - 3:15pm On the existence and uniqueness of nonlocal nonlinear conservation laws by means of fixed-point methods 3:15pm - 3:40pm Measure solutions, smoothing effect, and deterministic particle approximation for a conservation law with non-local flux |
P13-1: Multiscale and Homogenization Location: M.17.17 – 1.017 Chair: Eduardo Abreu Multiscale modelling of cancer invasion and metastasis: the effects of tumour heterogeneity 2:25pm - 2:50pm Multiscale hyperbolic-parabolic models for nonlinear reactive transport in heterogeneously fractured porous media 2:50pm - 3:15pm Numerical homogenization of multiscale hyperbolic conservation laws 3:15pm - 3:40pm Modeling edema dynamics in soft tissue using mixture theory |
P14-2: Riemann Problems and Wave Patterns Location: M17.81 – 8.019 Chair: Robin Young Do Riemann solutions consist of rarefactions, shocks, and constants? 2:25pm - 2:50pm Viscosity-dependent wave patterns in the Riemann problem for nonstrictly hyperbolic conservation laws 2:50pm - 3:15pm Maximal energy dissipation principle and the Riemann problem for shallow water flow |
P15-1: Numerical Analysis Location: M17.92 – 9.019 Chair: Bangwei She A posteriori error estimates for high order approximations of hyperbolic balance laws 2:25pm - 2:50pm A posteriori error analysis of a Runge-Kutta discontinuous Galerkin scheme for nonlinear convection-diffusion systems in convection-dominated flows 2:50pm - 3:15pm Error estimates of an asymptotic-preserving discontinuous Galerkin method for the continuous data assimilation algorithm of Navier-Stokes system 3:15pm - 3:40pm Numerical methods for the Camassa-Holm equation in the zero-filter limit |
P16-1: Dispersive Waves Location: M17.52 – 5.019 Chair: Firas Dhaouadi Dispersive waves in quasilinear hyperbolic systems on a periodic background 2:25pm - 2:50pm Modeling non-propagating modes by dispersive hyperbolic systems 2:50pm - 3:15pm Dispersive boundary layers for scalar conservation laws in one space dimension and their stability 3:15pm - 3:40pm Effective dispersive model and resonance in fluids with periodic geometry |
| P3-2: Blowup and Stability Location: M.17.21 – 2.005 Chair: Vlad Vicol Repeated blowup for Navier-Stokes solutions 2:25pm - 2:50pm Stability of planar rarefaction waves in the vanishing dissipation limit of the Navier–Stokes–Fourier system 2:50pm - 3:15pm Density of "wild" initial data for the isentropic Euler equations considering global-in-time admissible weak solutions 3:15pm - 3:40pm Weak-BV stability for Euler with boundaries |
P5-3: Singular Limits and Large Time Behaviour Location: M.17.23 – 2.011 Chair: Fabio Ancona Dissipative structure of higher order regularizations of hyperbolic systems of conservation laws in several space dimensions 2:25pm - 2:50pm Formal derivation of a stratified compressible two-phase flow model 2:50pm - 3:15pm Hyperbolic regularization of free-surface flow models 3:15pm - 3:40pm The Cattaneo-Christov system for compressible fluid flow in several space dimensions: Well-posedness and non-hyperbolicity |
P6-3: Structure Preserving Methods Location: M.17.25 – 2.017 Chair: Pep Mulet A simple and general framework for the construction of exactly div-curl-grad compatible discontinuous Galerkin finite element schemes on unstructured simplex meshes 2:25pm - 2:50pm A thermodynamically compatible scheme for continuum mechanics with torsion 2:50pm - 3:15pm A Hamiltonian approach to entropy-stable and well-balanced schemes 3:15pm - 3:40pm How to make fully discrete entropy stability of three-point well-balanced finite-volume schemes |
P7-3: Kinetic and Moment Equations Location: M17.74 – 7.017 Chair: Francis Filbet Gramian moment closures for kinetic equations: hyperbolicity and numerics 2:25pm - 2:50pm Consistent kinetic models for quantum gases - modeling and long-time behavior 2:50pm - 3:15pm Equilibrium boundary conditions for vectorial multi-dimensional lattice Boltzmann schemes 3:15pm - 3:40pm The contribution has been withdrawn. H-theorems for dense reactive mixtures and global existence of solutions |
|||
| 3:40pm - 4:00pm |
Coffee Break |
|||||
| 4:00pm - 6:05pm |
P1-4: Well-Posedness and Regularity Location: M17.12 – 1.005 Chair: Ruiwen Shu Nonlinear sound waves in compressible Euler 4:25pm - 4:50pm On Lions density patch at the critical level 4:50pm - 5:15pm Global small solutions to the 2D non-resistive compressible MHD system near an equilibrium 5:15pm - 5:40pm The contribution has been withdrawn. Global existence/non-existence of classical solution for isentropic Euler equations with time dependent damping 5:40pm - 6:05pm Well-posedness and numerical approximation of nonlinear conservation laws with hysteresis |
P14-3: Riemann Problems and Wave Patterns Location: M17.81 – 8.019 Chair: Ferdinand Thein Formation of vacuum state and delta shock in the solution of two-dimensional Riemann problem for zero pressure gas dynamics 4:25pm - 4:50pm Generalised Riemann problem and wave interactions in a macroscopic production model 4:50pm - 5:15pm Dynamics of delta shock waves originating from a three pieces Riemann problem for traffic flow model |
P15-2: Numerical Analysis Location: M17.92 – 9.019 Chair: Thomas Bellotti Convergence of a finite volume scheme for the Navier-Stokes-Korteweg equations to measure-valued solutions 4:25pm - 4:50pm Convergence of a discretized observer for the Euler equations 4:50pm - 5:15pm Dissipative weak solutions for the two-component Euler-system 5:15pm - 5:40pm Numerical study of dissipative measure-valued solutions for the compressible Euler system 5:40pm - 6:05pm Numerical error estimates for the compressible Navier-Stokes equations with potential temperature transport |
P17-1: Dimensionally Reduced Flows Location: M17.52 – 5.019 Chair: Manuel Jesus Castro Diaz A double coordinate system for submarine landslides and generated tsunamis 4:25pm - 4:50pm A depth-integrated model for dry granular flows in local curvilinear coordinates with friction correction 4:50pm - 5:15pm A new model for two-layer liquid-gas stratified flows in pipes with general cross sections 5:15pm - 5:40pm Hyperbolic modelling for thin film flows 5:40pm - 6:05pm Conservative discretization of a nonlinear hyperbolic phase-transport system with curvature |
P2-3: General Numerical Methods Location: M.17.17 – 1.017 Chair: Sigal Gottlieb Efficient WENO schemes for nonuniform grids with optimal accuracy 4:25pm - 4:50pm Interpretation of distributed residual methods with piece-wise defined test functions 4:50pm - 5:15pm Numerical simulations of single-mode Rayleigh--Taylor and Richtmyer--Meshkov instabilities with improved front-tracking/ghost-fluid method 5:15pm - 5:40pm Numerical investigation of nonlinear age-structured tumor cell population model |
P3-3: Blowup and Stability Location: M.17.21 – 2.005 Chair: Christian Klingenberg Development of implosions of solutions of the three-dimensional degenerate compressible Navier-Stokes equations 4:25pm - 4:50pm The estimate of lifespan for ideal incompressible MHD systems 4:50pm - 5:15pm Stability analysis for the generalized viscous Burgers' equation with time delay 5:15pm - 5:40pm Similarity solutions and nonlinear wave interaction in a new hyperbolic model of two-phase thin film flow of perfectly soluble antisurfactant 5:40pm - 6:05pm Asymptotic stability of steady transonic flows in nozzles |
| P4-2: Probabilistic Models Location: M17.02 Chair: Lorenzo Pareschi Uncertainty quantification of conservation laws with several random parameters 4:25pm - 4:50pm Tensor train discontinuous Galerkin with multiresolution-based grid adaptation for high-dimensional random hyperbolic conservation laws 4:50pm - 5:15pm A multilevel strategy for high-dimensional random hyperbolic conservation laws 5:15pm - 5:40pm Uncertainty quantification for nonlocal traffic flow using stochastic Galerkin approximations 5:40pm - 6:05pm Stochastic nonlocal traffic flow modeling |
P5-4: Singular Limits and Large Time Behaviour Location: M.17.23 – 2.011 Chair: Katrin Grunert $L^2$-contraction for viscous-dispersive shock waves of KdV-Burgers equation 4:25pm - 4:50pm The contribution has been withdrawn. On the asymptotic behavior of irrotational steady Euler equations 4:50pm - 5:15pm Long time behavior of stochastic isentropic Euler equation with linear damping |
P6-4: Structure Preserving Methods Location: M.17.25 – 2.017 Chair: Jan Glaubitz Well-balanced semi-implicit relaxed finite volume schemes for hyperbolic balance laws 4:25pm - 4:50pm Development of discontinuous Galerkin methods for hyperbolic systems that preserve a divergence or a curl constraint 4:50pm - 5:15pm Numerical study of polydisperse sedimentation in complex geometries using an invariant-region-preserving scheme 5:15pm - 5:40pm Entropy stable numerical schemes for divergence diminishing Chew, Goldberger & Low equations for plasma flows 5:40pm - 6:05pm Quantification of numerical entropy loss for ocean models with a projection method |
P7-4: Kinetic and Moment Equations Location: M17.74 – 7.017 Chair: Marlies Pirner A kinetic framework for SIR-type epidemic models: mean-field limit and asymptotic analysis 4:25pm - 4:50pm Hydrodynamic limit of the Boltzmann equation towards Riemann solutions composed of shocks 4:50pm - 5:15pm Long-time asymptotic analysis of the Vlasov equation under a strong magnetic field |
|||
