Strong stability preserving time-evolution of hyperbolic PDEs: bounds and barriers

Sigal Gottlieb

UMassD, United States of America

A Lax-type framework for fluid models: convergence and error estimates

Bangwei She

Capital Normal University, China, People's Republic of

Learn to evolve: self-supervised neural operator for nonlinear gradient flows

Li Wang

University of Minnesota, United States of America

Geometric Quasi-Linearization for bound-preserving schemes: From general framework to unveiling the hidden algebraic-differential relation in MHD

Kailiang WU

Southern University of Science and Technology, China, People's Republic of

Two-dimensional Euler flows beyond Yudovich

Elia Brue

Bocconi University, Italy

Regularity of velocity averages in kinetic equations with heterogeneity

Kenneth Karlsen

University of Oslo, Norway

Effective equations for a compressible liquid-vapor flow model

Florian Wendt, Christian Rohde

University of Stuttgart, Germany

Hypersonic flow and Radon measure-valued solution

Aifang QU

Shanghai Normal University, China, People's Republic of

On the convergence of quasilinear viscous approximations using compensated compactness and kinetic formulation

Ramesh Mondal

University of Kalyani, India

Singular limit for a class of nonlocal conservation laws via compensated compactness

Giuseppe Maria Coclite¹, Nicola De Nitti², Kuang Huang³

1: Polytechnic University of Bari, Italy; 2: University of Pisa, Italy; 3: The Chinese University of Hong Kong, Hong Kong SAR, P. R. China

Monotone-based numerical schemes for two-dimensional systems of nonlocal conservation laws

Anika Beckers¹, Jan Friedrich², Michael Herty¹

1: RWTH Aachen, Germany; 2: Technical University of Munich, Germany

On the existence and uniqueness of nonlocal nonlinear conservation laws by means of fixed-point methods

Hossein Nick Zinat Matin, Alexander Keimer, Lorenzo Liverani

Ecole Polytechnique, France

Measure solutions, smoothing effect, and deterministic particle approximation for a conservation law with non-local flux

Marco Di Francesco, Simone Fagioli, Emanuela Radici

University of L'Aquila, Italy

Multiscale modelling of cancer invasion and metastasis: the effects of tumour heterogeneity

Dimitrios Katsaounis¹, Nikolaos Sfakianakis², Mark AJ Chaplain²

1: RWTH Aachen University, Germany; 2: University of St Andrews, Scotland, UK

Multiscale hyperbolic-parabolic models for nonlinear reactive transport in heterogeneously fractured porous media

Taras Melnyk¹, Sorin Pop², Christian Rohde³

1: University of Stuttgart, Germany; 2: Hasselt University, Belgium; 3: University of Stuttgart, Germany

Numerical homogenization of multiscale hyperbolic conservation laws

Giulia Merlini^1,2, Claude Le Bris^1,2, Frederic Legoll^1,2

1: CERMICS, ENPC, Institut Polytechnique de Paris, CNRS, Marne-la-Vallée, France; 2: MATHERIALS, INRIA Paris, France

Modeling edema dynamics in soft tissue using mixture theory

Simone Bonfiglio¹, Ana Carpio²

1: University of Messina, Italy; 2: Universidad Complutense de Madrid,Spain

Do Riemann solutions consist of rarefactions, shocks, and constants?

Bradley J. Plohr¹, Stephen Schecter², Dan Marchesin³

1: Los Alamos, United States of America; 2: North Carolina State University, United States of America; 3: Instituto de Matemática Pura e Aplicada, Brazil

Viscosity-dependent wave patterns in the Riemann problem for nonstrictly hyperbolic conservation laws

Valentin Pellhammer

University of Hohenheim, Germany

Maximal energy dissipation principle and the Riemann problem for shallow water flow

Sanja Ružičić

Faculty of Sciences, University of Novi Sad, Serbia

A posteriori error estimates for high order approximations of hyperbolic balance laws

Aleksey Sikstel¹, Jan Giesselmann², Graziano Guerra³

1: RWTH Aachen University, Germany; 2: Technical University of Darmstadt, Germany; 3: Università degli Studi di Milano-Bicocca, Italy

A posteriori error analysis of a Runge-Kutta discontinuous Galerkin scheme for nonlinear convection-diffusion systems in convection-dominated flows

Andreas Dedner¹, Jan Giesselmann², Kiwoong Kwon², Tristian Pryer³

1: University of Warwick; 2: TU Darmstadt, Germany; 3: University of Bath

Error estimates of an asymptotic-preserving discontinuous Galerkin method for the continuous data assimilation algorithm of Navier-Stokes system

Megala Anandan, Mária Lukáčová-Medvid’ová, Jiahui Zhang

Johannes Gutenberg University of Mainz, Germany

Numerical methods for the Camassa-Holm equation in the zero-filter limit

Dimitrios Geladaris, Christian Rohde

University of Stuttgart, Germany

Dispersive waves in quasilinear hyperbolic systems on a periodic background

Giovanni Russo

University of Catania, Italy

Modeling non-propagating modes by dispersive hyperbolic systems

Ilya Peshkov¹, Loïc Le Marrec²

1: University of Trento, Italy; 2: University of Rennes, France

Dispersive boundary layers for scalar conservation laws in one space dimension and their stability

Paolo Antonelli², Pierangelo Marcati², Laura V. Spinolo¹

1: CNR-IMATI, Pavia, Italy; 2: GSSI, L'Aquila, Italy

Effective dispersive model and resonance in fluids with periodic geometry

Laila Busaleh^1,2, David Ketcheson²

1: Department of Mathematics, College of Science and Humanities, Jubail, Imam Abdulrahman Bin Faisal University, Saudi Arabia; 2: Applied Mathematics and Computational Science, CEMSE Division, King Abdullah University of Science and Technology (KAUST), Kingdom of Saudi Arabia

Repeated blowup for Navier-Stokes solutions

James Glimm

Stony Brook University, United States of America

Stability of planar rarefaction waves in the vanishing dissipation limit of the Navier–Stokes–Fourier system

Wladimir Neves, Eduard Feireisl

Federal University of Rio de Janeiro, Brazil

Density of "wild" initial data for the isentropic Euler equations considering global-in-time admissible weak solutions

Simon Markfelder¹, Daniel Boutros²

1: Universität Konstanz, Germany; 2: University of Cambridge, UK

Weak-BV stability for Euler with boundaries

Jiayun Meng¹, Alexis Vasseur¹, Moon-Jin Kang², HyeonSeop Oh²

1: The University of Texas at Austin, United States of America; 2: Korea Advanced Institute of Science & Technology, South Korea

Dissipative structure of higher order regularizations of hyperbolic systems of conservation laws in several space dimensions

Felipe Angeles¹, Ramón G. Plaza¹, José Manuel Valdovinos²

1: Universidad Nacional Autónoma de México, Mexico; 2: Université de Toulouse, France

Formal derivation of a stratified compressible two-phase flow model

Pierrick Le Vourc'h

Université de Montpellier, Inria Angus team (France)

Hyperbolic regularization of free-surface flow models

Julian Koellermeier^1,2

1: Ghent University, Belgium; 2: University of Groningen

The Cattaneo-Christov system for compressible fluid flow in several space dimensions: Well-posedness and non-hyperbolicity

Felipe Angeles

Institute of Applied Mathematics and Systems, National Autonomous University of Mexico, Mexico

A simple and general framework for the construction of exactly div-curl-grad compatible discontinuous Galerkin finite element schemes on unstructured simplex meshes

Michael Dumbser¹, Remi Abgrall², Pierre-Henri Maire³

1: University of Trento, Italy; 2: University of Zurich, Switzerland; 3: CEA, France

A thermodynamically compatible scheme for continuum mechanics with torsion

Alessia Lucca, Ilya Peshkov, Michael Dumbser

University of Trento, Italy

A Hamiltonian approach to entropy-stable and well-balanced schemes

Patrick Ersing, Andrew R. Winters

Linköping University, Sweden

How to make fully discrete entropy stability of three-point well-balanced finite-volume schemes

Christophe Berthon¹, Manuel Castro Díaz², Ludovic Martaud³, Tomás Morales de Luna²

1: Université de Nantes; 2: University of Málaga, Spain; 3: Université Rennes

Gramian moment closures for kinetic equations: hyperbolicity and numerics

Eda Yilmaz, Manuel Torrilhon

RWTH Aachen University, Germany

Consistent kinetic models for quantum gases - modeling and long-time behavior

Marlies Pirner

University of Münster, Germany

Equilibrium boundary conditions for vectorial multi-dimensional lattice Boltzmann schemes

Thomas Bellotti¹, Denise Aregba-Driollet²

1: CNRS, France; 2: INP Bordeaux

H-theorems for dense reactive mixtures and global existence of solutions

Jacek Polewczak

California State University, United States of America

Nonlinear sound waves in compressible Euler

Robin Young

UMass Amherst, United States of America

On Lions density patch at the critical level

Alessandro Violini¹, Stefan Škondrić²

1: University of Basel, Switzerland; 2: Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany

Global small solutions to the 2D non-resistive compressible MHD system near an equilibrium

Yi Zhu

East China University of Science and Technology, China, People's Republic of

Global existence/non-existence of classical solution for isentropic Euler equations with time dependent damping

Balakrishna Chhatria

National Institute of Technology Rourkela, India

Well-posedness and numerical approximation of nonlinear conservation laws with hysteresis

Fabio Bagagiolo¹, Paola Goatin², Stefan Moreti¹

1: University of Trento, Italy; 2: Inria Centre at Univerisé Côte d'Azur, Inria, Sophia Antipolis, France.

Formation of vacuum state and delta shock in the solution of two-dimensional Riemann problem for zero pressure gas dynamics

Anamika Pandey

Indian Institute of Technology, Kharagpur, West Bengal India, India

Generalised Riemann problem and wave interactions in a macroscopic production model

Lilu Sahu

Indian Institute of Technology, Kharagpur, India

Dynamics of delta shock waves originating from a three pieces Riemann problem for traffic flow model

Priyanka ., Dr. M. Zafar .

Dr. B R Ambedkar NIT Jalandhar, Punjab, India

Convergence of a finite volume scheme for the Navier-Stokes-Korteweg equations to measure-valued solutions

Jan Giesselmann², Philipp Öffner¹, Robert Sauerborn¹

1: Clausthal University of Technology, Germany; 2: TU Darmstadt, Germany

Convergence of a discretized observer for the Euler equations

Aidan Chaumet, Jan Giesselmann

Technical University Darmstadt, Germany

Dissipative weak solutions for the two-component Euler-system

Jaya Agnihotri, Philipp Offner

TU Clausthal, Germany

Numerical study of dissipative measure-valued solutions for the compressible Euler system

Changsheng Yu

Johannes Gutenberg-Universität Mainz, Germany

Numerical error estimates for the compressible Navier-Stokes equations with potential temperature transport

Mária Lukáčová-Medvid’ová, Andreas Schömer

Johannes Gutenberg University Mainz, Germany

A double coordinate system for submarine landslides and generated tsunamis

Gwendal Léger¹, François Bouchut², Enrique Domingo Frenández-Nieto¹, Anne Mangeney³, Gladys Narbona-Reina¹

1: Universidad de Sevilla, Spain; 2: Université Gustave Eiffel; 3: Institut de Physique du Globe de Paris

A depth-integrated model for dry granular flows in local curvilinear coordinates with friction correction

Sergio Valiente Ávila¹, Tomás Morales de Luna¹, José Garres Díaz², Manuel Jesús Castro Díaz¹

1: Universidad de Málaga, Spain; 2: Universidad de Sevilla, Spain

A new model for two-layer liquid-gas stratified flows in pipes with general cross sections

Gerardo Hernández-Dueñas¹, Sarswati Shah²

1: National Autonomous University of Mexico, Mexico; 2: George Mason University

Hyperbolic modelling for thin film flows

Rahul Barthwal¹, Christian Rohde¹, Yue Wang²

1: University of Stuttgart, Germany; 2: IAPCM, Beijing China

Conservative discretization of a nonlinear hyperbolic phase-transport system with curvature

Baskar Sambandam¹, Veerappa Gowda²

1: Indian Institute of Technology, Bombay, India; 2: Mahindra University, Hyderabad, India

Efficient WENO schemes for nonuniform grids with optimal accuracy

Mari Carmen Martí, Pep Mulet, Dionisio F. Yáñez, David Zorío

University of Valencia, Spain

Interpretation of distributed residual methods with piece-wise defined test functions

Pierre-Marie Boulvard

EDF, France

Numerical simulations of single-mode Rayleigh--Taylor and Richtmyer--Meshkov instabilities with improved front-tracking/ghost-fluid method

Tulin Kaman

University of Zurich, Switzerland

Numerical investigation of nonlinear age-structured tumor cell population model

Paramjeet Singh

Thapar Institute of Engineering and Technology, India

Development of implosions of solutions of the three-dimensional degenerate compressible Navier-Stokes equations

Gui-Qiang G Chen¹, Lihui Liu², Shengguo Zhu²

1: Mathematical Institute, University of Oxford, UK; 2: School of Mathematical Sciences, Shanghai Jiao Tong University, P. R. China

The estimate of lifespan for ideal incompressible MHD systems

Mengni Li¹, Hongwei Yuan²

1: Southeast University & University of Würzburg; 2: University of Macau

Stability analysis for the generalized viscous Burgers' equation with time delay

Yoshihiro Ueda

Kobe University, Japan

Similarity solutions and nonlinear wave interaction in a new hyperbolic model of two-phase thin film flow of perfectly soluble antisurfactant

Hari Om Jangid, T Raja Sekhar

Indian Institute of Technology Kharagpur, India, India

Asymptotic stability of steady transonic flows in nozzles

Masashi Ohnawa

Tokyo University of Marine Science and Technology, Japan

Uncertainty quantification of conservation laws with several random parameters

Juliette Dubois¹, Michael Herty², Siegfried Müller²

1: Technical University Berlin, Germany; 2: RWTH Aachen University, Germany

Tensor train discontinuous Galerkin with multiresolution-based grid adaptation for high-dimensional random hyperbolic conservation laws

Juliette Dubois², Adrian Kolb¹, Michael Herty¹, Siegfried Müller¹, Tim A. Werthmann¹

1: RWTH Aachen University, Germany; 2: TU Berlin, Germany

A multilevel strategy for high-dimensional random hyperbolic conservation laws

Kai Hinzmann, Michael Herty, Adrian Kolb, Siegfried Müller

RWTH Aachen University, Germany

Uncertainty quantification for nonlocal traffic flow using stochastic Galerkin approximations

Fabian Ziegler, Simone Göttlich

Universität Mannheim, Germany

Stochastic nonlocal traffic flow modeling

Timo Böhme, Simone Göttlich, Andreas Neuenkirch

Universtität Mannheim, Germany

$L^2$-contraction for viscous-dispersive shock waves of KdV-Burgers equation

Geng Chen², Namhyun Eun¹, Moon-Jin Kang¹, Yannan Shen²

1: Korea Advanced Institute of Science and Technology, Korea, Republic of (South Korea); 2: The University of Kansas, USA

On the asymptotic behavior of irrotational steady Euler equations

Tian-Yi Wang

Wuhan University of Technology, China, People's Republic of

Long time behavior of stochastic isentropic Euler equation with linear damping

Rongyi Dai¹, Jeffrey Kuan², Krutika Tawri³, Suncica Canic¹, Konstantina Trivisa³

1: UC Berkeley, United States of America; 2: University of Maryland, College Park; 3: University of Washington

Well-balanced semi-implicit relaxed finite volume schemes for hyperbolic balance laws

Irene Gómez-Bueno¹, Manuel Jesús Castro Díaz¹, Andrea Thomann²

1: Universidad de Málaga, Spain; 2: Inria center University of Lorraine and antenne University Strasbourg

Development of discontinuous Galerkin methods for hyperbolic systems that preserve a divergence or a curl constraint

Jonathan Jung^2,1, Vincent Perrier^1,2

1: INRIA,Cagire team, France; 2: LMAP, Université de Pau et des Pays de l'Adour

Numerical study of polydisperse sedimentation in complex geometries using an invariant-region-preserving scheme

Juan Barajas-Calonge¹, Raimund Bürger², Pep Mulet³, Luis Miguel Villada¹

1: Universidad del Bío-Bío, Chile; 2: Universidad de Concepción, Chile; 3: Universitat de València, Spain

Entropy stable numerical schemes for divergence diminishing Chew, Goldberger & Low equations for plasma flows

Chetan Singh¹, Harish Kumar^1,2, Deepak Bhoriya³, Dinshaw S. Balsara^4,5

1: Department of Mathematics, Indian Institute of Technology Delhi, India; 2: Indian Institute of Technology Delhi (IITD) - Abu Dhabi, Abu Dhabi; 3: Department of Mathematics, BITS-Pilani, Pilani, India; 4: Physics Department, University of Notre Dame, USA; 5: ACMS, University of Notre Dame, USA

Quantification of numerical entropy loss for ocean models with a projection method

Nina Aguillon^2,1, Marie Boussard^1,2, Julien Salomon^1,2

1: INRIA Paris, France; 2: Laboratoire Jacques-Louis Lions (LJLL), Sorbonne Université, France

A kinetic framework for SIR-type epidemic models: mean-field limit and asymptotic analysis

Giorgio Martalò

University of Pavia, Italy

Hydrodynamic limit of the Boltzmann equation towards Riemann solutions composed of shocks

Mingi Choe¹, Moonjin Kang¹, Chanwoo Kim²

1: KAIST, Korea, Republic of (South Korea); 2: The University of Wisconsin-Madison, USA

Long-time asymptotic analysis of the Vlasov equation under a strong magnetic field

Manuela Trullo¹, Francis Filbet², Luis Miguel Rodrigues³

1: University of Ferrara (Italy), Italy; 2: Université de Toulouse III; 3: Univ Rennes, CNRS