Theory, Numerics and Applications of Hyperbolic Problems I, 1st ed. 2018
Aachen, Germany, August 2016
Springer Proceedings in Mathematics & Statistics Series, Vol. 236

Chapter 1: Helmut Abels, Johannes Daube, Christiane Kraus and Dietmar Kröner: The Sharp-Interface Limit for the Navier–Stokes–Korteweg Equations

Chapter 2: E. Abreu, A. Bustos and W. J. Lambert: Asymptotic behavior of a solution of relaxation system for flow in porous media

Chapter 3: Angelo Alessandri, Patrizia Bagnerini, Roberto Cianci, Mauro Gaggeroi:Optimal control of level sets generated by the normal flow equation

Chapter 4: Debora Amadori and Jinyeong Park: Emergent dynamics for the kinetic Kuramoto equation

Chapter 5: Matthieu Ancellin, Laurent Brosset and Jean-Michel Ghidaglia: A hyperbolic model of non-equilibrium phase change at a sharp liquid-vapor interface

Chapter 6: Paolo Antonelli, Michele D’Amico and Pierangelo Marcati:The Cauchy problem for the Maxwell-Schrodinger system with a power-type nonlinearity

Chapter 7: Denise Aregba-Driollet and Stephane Brull: Construction and approximation of the polyatomic bitemperature Euler system

Chapter 8: K. R. Arun, A. J. Das Gupta and S. Samantaray; An implicit-explicit scheme accurate at low Mach numbers for the wave equation system

Chapter 9: Joshua Ballew: Bose-Einstein Condensation and Global Dynamics of Solutions to a Hyperbolic Kompaneets Equation

Chapter 10: Andrea Barth and Ilja Kroker: Finite volume methods for hyperbolic partial differential equations with spatial noise

Chapter 11: Hubert Baty and Hiroaki Nishikawa: A hyperbolic approach for dissipative magnetohydrodynamics

Chapter 12: Jonas Berberich, Praveen Chandrashekar, Christian Klingenberg: A general well-balanced finite volume scheme for Euler equations with gravity

Chapter 13: Christophe Berthon, Raphal Loubre and Victor Michel-Dansac:A second-order well-balanced scheme for the shallow-water equations with topography

Chapter 14: Stefano Bianchini and Elio Marconi: A Lagrangian approach to scalar conservation laws

Chapter 15: Paolo Bonicatto: On uniqueness of weak solutions to transport equation with non-smooth velocity field

Chapter 16: Sebastien Boyaval: Johnson-Segalman – Saint-Venant equations for a 1D viscoelastic shallow flow in pure elastic limit

Chapter 17: Michael D. Bragin and Boris V. Rogov: On the Exact Dimensional Splitting for a Scalar Quasilinear Hyperbolic Conservation Law

Chapter 18: Yann Brenier:On the derivation of the Newtonian gravitation from the Brownian agrigation of a regular lattice

Chapter 19: Alberto Bressan: Traffic flow models on a network of roads

Chapter 20: A. Brunk, N. Kolbe, and N. Sfakianakis: Chemotaxis and haptotaxis on cellular level

Chapter 21: Pawel Buchmuller, Jurgen Dreher and Christiane Helzel: Improved accuracy of high-order WENO finite volume methods on Cartesian grids with adaptive mesh refinement

Chapter 22: Pablo Castaneda: Explicit construction of effective flux functions for Riemann solutions

Chapter 23: Pierre Castelli, Pierre-Emmanuel Jabin, Stephane Junca: Fractional spaces and conservation laws

Chapter 24: Manuel J. Castro, José M. Gallardo and Antonio Marquina: Jacobian-free incomplete Riemann solvers

Chapter 25: Christophe Chalons, Jim Magiera, Christian Rohde and Maria Wiebe: A Finite-Volume Tracking Scheme for Two-Phase Compressible Flow

Chapter 26: Praveen Chandrashekar and Jayesh Badwaik: Arbitrary Lagrangian-Eulerian discontinuous Galerkin method for 1-D Euler equations

Chapter 27: Praveen Chandrashekar, Juan Pablo Gallego-Valencia and Christian Klingenberg: A Runge-Kutta discontinuous Galerkin scheme for the ideal Magnetohydrodynamical model

Chapter 28: Alina Chertock, Michael Herty and Seyma NurOzcan: Well-Balanced central-upwind schemes for 2 × 2 systems of balance laws

Chapter 29: Cleopatra Christoforou and Athanasios Tzavaras: On the relative entropy method for hyperbolic-parabolic systems

Chapter 30: Rinaldo M. Colombo, Christian Klingenberg and Marie-Christine Meltzer: A multispecies traffic model based on the Lighthill-Whitham-Richards model

Chapter 31: Georges-Henri Cottet: Semi-Lagrangian particle methods for hyperbolic equations

Chapter 32: Clementine Courtes: Convergence for PDEs with an arbitrary odd order spatial derivative term

Chapter 33: Zihuan Dai: A cell-centered Lagrangian method for 2D ideal MHD equations

Chapter 34: Edda Dal Santo, Massimiliano D. Rosini and Nikodem Dymski: The Riemann problem for a general   

Chapter 35: Andreas Dedner and Jan Giesselmann: Residual error indicators for dG schemes for discontinuous solutions to systems of conservation laws

Chapter 36: G. Deolmi, W. Dahmen, S. Müller, M. Albers, P.S. Meysonnat and W. Schroder: Effective Boundary Conditions for Turbulent Compressible Flows over a Riblet Surface

Chapter 37: Marco Di Francesco, Simone Fagioli, Massimiliano D. Rosini and Giovanni Russo: A deterministic particle approximation for non-linear conservation laws

Chapter 38: Elena Di Iorio, Pierangelo Marcati and Stefano Spirito: Splash singularity for a free-boundary incompressible viscoelastic fluid model

Chapter 39: Herbert Egger and Thomas Kugler: An asymptotic preserving mixed finite element method for wave propagation in pipelines

Chapter 40: Volker Elling: Nonexistence of irrotational flow around solids with protruding corners

Chapter 41: Robin Flohr and Jens Rottmann-Matthes: A splitting approach for freezing waves

Chapter 42: Raffaele Folino: Metastability for hyperbolic variations of Allen–Cahn equation

Chapter 43: David Fridrich, Richard Liska and Burton Wendroff: Cell-centered Lagrangian Lax-Wendroff HLL Hybrid Schemes in cylindrical geometry

Chapter 44: Anahit Galstian: Semilinear Shifted Wave Equation in the de Sitter Spacetime with Hyperbolic Spatial Part

Chapter 45: Sondre-Tesdal Galtung: Convergence Rates of a Fully Discrete Galerkin Scheme for the Benjamin–Ono Equation

Chapter 46: Nils Gerhard and Siegfried Müller: The simulation of a tsunami run-up using multiwavelet-based grid adaptation

Chapter 47: Christoph Gersbacher, Martin Nolte: Constrained Reconstruction in MUSCL-type Finite Volume Schemes

Chapter 48: Jan Giesselmann and Dimitrios Zacharenakis: A posteriori analysis for the Euler-Korteweg model

Chapter 49: Diogo Gomes, Levon Nurbekyan, and Marc Sedjro: Concervations laws arising in the study of forward-forward Mean-Field Games

Chapter 50: Martin Gugat, Michael Herty and Hui Yu: On the relaxation approximation for 2 × 2 hyperbolic balance laws

Chapter 51: Maren Hantke, Christoph Matern and Gerald Warnecke: Numerical solutions for a weakly hyperbolic dispersed two-phase flow model

Chapter 52: Maryse Hawerkamp, Dietmar Kröner, Hanna Moenius:Optimal controls in flux-, source- and initial terms for weakly coupled hyperbolic systems

Christian Klingenberg is a professor in the Department of Mathematics at Wuerzburg University, Germany. 

Michael Westdickenberg is a professor at the Institute for Mathematics at RWTH Aachen University, Germany.

Presents a comprehensive overview of the field of hyperbolic partial differential equations

Discusses all aspects, from mathematical theory to practical applications

Includes articles by the top researchers in the field