Theory, Numerics and Applications of Hyperbolic Problems I

Chapter 1: Helmut Abels, Johannes Daube, Christiane Kraus and Dietmar Kroener: 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, Jose 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 x 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. Muller, 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 Muller: 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 x 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 Kroener, Hanna Moenius: Optimal controls in flux-, source- and initial terms for weakly coupled hyperbolic systems



Chapter 53: Michael Herty, Alexander Kurganov and Dmitry Kurochkin: On Convergence of Numerical Methods for Optimization Problems Governed by Scalar Hyperbolic Conservation Laws