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).
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Daily Overview |
| 8:30am | Registration |
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| 9:45am - 10:00am |
Opening Location: M17.01 |
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| 10:00am - 10:50am |
PL-01: Plenary Lecture Vlad Vicol Location: M17.01 Chair: Eduard Feireisl Implosions in compressible Euler |
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| 10:50am - 11:20am |
Coffee Break |
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| 11:20am - 12:00pm |
IL-01: Invited Lecture Lorenzo Pareschi Location: M17.01 Chair: Michael Dumbser Structure-preserving neural surrogates for uncertainty quantification in kinetic equations |
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| 12:00pm - 2:00pm |
Lunch Break |
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| 2:00pm - 3:40pm |
P1-1: Well-posedness and Regularity Location: M17.12 – 1.005 Chair: Elia Brue Variational formulation of entropic solutions to nonlinear conservation laws 2:25pm - 2:50pm Temperature-driven turbulence in compressible fluid flows 2:50pm - 3:15pm The energy-variational framework for binormal curvature flow 3:15pm - 3:40pm A Liouville-type theorem for 2x2 systems of hyperbolic conservation laws and applications |
P10-1: Active Flux/Central-Upwind Location: M17.02 Chair: Kailiang WU Recent development on active flux methodology 2:25pm - 2:50pm A finite element view on arbitrarily high-order accurate active flux methods 2:50pm - 3:15pm Comparing the computational complexity of active flux and discontinuous Galerkin methods 3:15pm - 3:40pm Active flux method for hyperbolic problems using bicharacteristic evolution operators and WENO reconstruction |
P14-1: Riemann Problems and Wave Patterns Location: M17.81 – 8.019 Chair: Gerald Warnecke A convergent front tracking scheme with an application to gas dynamics 2:25pm - 2:50pm An exact Riemann solver for two layer two-phase flow model with Chaplygin pressure law 2:50pm - 3:15pm Exact Riemann solver for a laminar two-phase flow model with two velocities 3:15pm - 3:40pm A Riemann problem in two-phase real fluid mixture |
P2-1: General Numerical Methods Location: M.17.17 – 1.017 Chair: Gregor Gassner In-cell discontinuous reconstruction path-conservative methods for conservative systems in primitive variables 2:25pm - 2:50pm An energy preserving domain of dependence stabilization method on cut cell meshes 2:50pm - 3:15pm Domain-of-dependence-stabilized cut-cell discretizations of linear kinetic models with summation-by-parts properties 3:15pm - 3:40pm Coupling a Maxey-Riley solver with Eulerian shallow-water solvers: contrasting finite-volume and E-SPH approaches. |
P3-1: Blowup and Stability Location: M.17.21 – 2.005 Chair: Jan Giesselmann Dynamic stability of Nash equilibria for a conservation law model of traffic flow 2:25pm - 2:50pm Analytical and numerical construction of tangent vectors to multi-dimensional scalar conservation laws 2:50pm - 3:15pm Gas flow of mixtures on networks: existence of steady states with non-constant compressibility factors 3:15pm - 3:40pm Time periodicity of global classical solution to radially symmetric unsteady flows with nonzero angular velocity in an annulus |
P5-1: Singular Limits and Large Time Behaviour Location: M.17.23 – 2.011 Chair: Heinrich Freistuhler The zero capillarity limit for the Euler-Korteweg system with no-flux boundary conditions 2:25pm - 2:50pm Large bulk viscosity limit for compressible MHD equations in critical Besov spaces 2:50pm - 3:15pm Vanishing viscosity limit for strictly hyperbolic system of conservation laws in 1-d with nonlinear viscosity 3:15pm - 3:40pm Incompressible limits at large Mach number for a reduced compressible MHD system |
| P6-1: Structure Preserving Methods Location: M.17.25 – 2.017 Chair: Vincent Perrier On the heat GLM system and its compatible discretization 2:25pm - 2:50pm Construction of asymptotic preserving schemes for kinetic models using upwind summation-by-parts operators 2:50pm - 3:15pm A second-order asymptotic-preserving IMEX scheme for the isentropic compressible Cahn-Hilliard-Navier-Stokes equations 3:15pm - 3:40pm A new asymptotic-preserving dual formulation finite-volume method for the compressible Euler equations |
P7-1: Kinetic and Moment Equations Location: M17.74 – 7.017 Chair: Li Wang A semi-Lagrangian method for the polyatomic ESBGK model 2:25pm - 2:50pm Optimal convergence estimate of the limit from inverse power potential to hard sphere Boltzmann equation 2:50pm - 3:15pm Build, analyse and simulate hierarchical PDEs for free-surface flows with Zoomy 3:15pm - 3:40pm A model-adaptive discontinuous Galerkin scheme for linearized hierarchical moment equations |
P8-1: Traffic Flow Location: M17.52 – 5.019 Chair: Jan Friedrich Nonlocal models with time delay for mixed autonomous/human-driven traffic 2:25pm - 2:50pm Conservation laws with discontinuous gradient-dependent flux 2:50pm - 3:15pm A two-fluxes stochastic model of traffic waves 3:15pm - 3:40pm Adapting priority Riemann solver for GSOM on road networks |
P9-1: Higher Order Space Discretizations Location: M17.92 – 9.019 Chair: Andrew Winters An entropy stable discontinuous Galerkin spectral element method on heterogeneous grids 2:25pm - 2:50pm Beyond polynomials: SBP operators for general function spaces 2:50pm - 3:15pm Superconvergence through SIAC filtering for discontinuous Galerkin solutions over non-uniform, structured meshes 3:15pm - 3:40pm Beyond polynomials: entropy stable and conservative discontinuous Galerkin methods with non-polynomial function spaces |
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| 3:40pm - 4:00pm |
Coffee Break |
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| 4:00pm - 6:05pm |
P1-2: Well-Posedness and Regularity Location: M17.12 – 1.005 Chair: Thomas Eiter Global well-posedness and asymptotic behavior of large strong solutions to viscous compressible fluids with variable coefficients 4:25pm - 4:50pm Global well-posedness for the degenerate compressible Navier-Stokes equations with large data of spherical symmetry 4:50pm - 5:15pm Global existence and nonlinear stability of finite-energy solutions of the compressible Euler-Riesz equations with large initial data of spherical symmetry 5:15pm - 5:40pm On weak solutions to self-organized systems of Euler-type with non-constant interaction kernel 5:40pm - 6:05pm Well posedeness for a tropical climate phase transition model |
P10-2: Active Flux/Central-Upwind Location: M17.02 Chair: Alexander Kurganov An active flux method for compressible Navier-Stokes equations 4:25pm - 4:50pm A locally divergence-free local characteristic decomposition based path-conservative central-upwind scheme for ideal magnetohydrodynamics 4:50pm - 5:15pm A low-dissipation central-upwind schemes for ideal MHD 5:15pm - 5:40pm Positivity-preserving new low-dissipation central-upwind schemes for compressible Euler equations 5:40pm - 6:05pm Bound- and positivity-preserving path-conservative central-upwind AWENO scheme for the five-equation model of compressible two-component flows |
P12-1: Nonlocal Models Location: M17.81 – 8.019 Chair: Laura V. Spinolo A nonlocal transport model for human blood cell dynamics 4:25pm - 4:50pm A nonlocal toy model for quasigeostrophic thermal active scalar 4:50pm - 5:15pm Encryption and decryption through general non local balance laws 5:15pm - 5:40pm Nonlocal regularizations of the Burgers equation 5:40pm - 6:05pm Kermack-McKendrick type models for epidemics with nonlocal aggregation terms |
P2-2: General Numerical Methods Location: M.17.17 – 1.017 Chair: Saray Busto Realizability-preserving monolithic convex limiting in continuous Galerkin discretizations of the $M_1$ model of radiative transfer 4:25pm - 4:50pm A characteristic-based numerical scheme for the optimal control of production-destruction dynamics 4:50pm - 5:15pm A multigrid-solved IMEX-AP scheme for the low-Froude shallow water equations 5:15pm - 5:40pm Semi-implicit central scheme for hyperbolic systems of balance laws with relaxed source term 5:40pm - 6:05pm Convergence of the non-staggered Nessyahu-Tadmor scheme for coupled systems of one-dimensional nonlocal balance laws |
P4-1: Probabilistic Models Location: M.17.21 – 2.005 Chair: Simone Fagioli The zero-noise limit for hyperbolic conservation laws 4:25pm - 4:50pm On the dynamics of the 1D stochastic Quantum-Navier-Stokes equations 4:50pm - 5:15pm Probabilistically strong solutions to stochastic Euler equations 5:15pm - 5:40pm Mixing at the Batchelor scale for white-in-time flows 5:40pm - 6:05pm Structure-preserving local discontinuous Galerkin methods for SPDEs with gradient noise |
P5-2: Singular Limits and Large Time Behaviour Location: M.17.23 – 2.011 Chair: Boris Haspot Asymptotic approximations of solutions to conservation laws near singularities. 4:25pm - 4:50pm On the vanishing viscosity limit for inhomogeneous incompressible Navier-Stokes equations on bounded domains 4:50pm - 5:15pm Gradient regularization in viscoelasticity: analysis and asymptotic limits 5:15pm - 5:40pm Quasi-neutral limit and the mixer layer problem of Planck-Nernst-Poisson-Navier-Stokes equations for electro-hydrodynamics |
| P6-2: Structure Preserving Methods Location: M.17.25 – 2.017 Chair: Giovanni Russo Asymptotic-preserving discontinuous Galerkin method for the Navier Stokes equations with low Mach number 4:25pm - 4:50pm An asymptotic-preserving scheme for the low-Mach-number Euler equations via dissipative measure-valued solutions 4:50pm - 5:15pm An all-Froude semi-implicit solver for two-dimensional shallow-water 5:15pm - 5:40pm Invariant region preserving schemes for mixed hyperbolic-parabolic SPDEs 5:40pm - 6:05pm The contribution has been withdrawn. Asymptotically compatible entropy consistent schemes for nonlocal conservation laws |
P7-2: Kinetic and Moment Equations Location: M17.74 – 7.017 Chair: Julian Koellermeier A moment based extension to the shallow water equations 4:25pm - 4:50pm Moment approximations to magnetic rotating shallow flows 4:50pm - 5:15pm Beyond the log law: Legendre polynomial velocity profiles for shear stress and sediment transport in shallow water models 5:15pm - 5:40pm A hat function-based positive contact discontinuity capturing Boltzmann scheme |
P8-2: Traffic Flow Location: M17.52 – 5.019 Chair: Debora Amadori A nonlocal upstream-downstream traffic flow model 4:25pm - 4:50pm Micro to macro: from infinite follow the leader ODEs to general traffic models 4:50pm - 5:15pm Nonlocal conservation laws with p-norm, the singular limit problem and applications to traffic flow 5:15pm - 5:40pm Travelling waves and well-posedness in periodic nonlocal-local traffic models 5:40pm - 6:05pm Conservation laws with coinciding smooth solutions in fluid dynamics and traffic flow |
P9-2: Higher Order Space Discretizations Location: M17.92 – 9.019 Chair: Laura del Rio Martin Entropy-stable high-order shock capturing on heterogeneous grids for discontinuous Galerkin spectral element methods 4:25pm - 4:50pm Nonlinearly stable open boundary conditions for shallow water flows 4:50pm - 5:15pm The high order unfitted discontinuous Galerkin methods for hyperbolic conservation laws in high dimension 5:15pm - 5:40pm Stabilized P2-DG method with artificial viscosity for steady hyperbolic conservation laws 5:40pm - 6:05pm A dispersive generalized Riemann problem for Galerkin methods |
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| 6:05pm - 8:00pm |
Welcome Reception |
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