Theory, Numerics and Applications of Hyperbolic Problems I
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Theory, Numerics and Applications of Hyperbolic Problems I : Aachen, Germany, August 2016

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The first of two volumes, this edited proceedings book features research presented at the XVI International Conference on Hyperbolic Problems held in Aachen, Germany in summer 2016. It focuses on the theoretical, applied, and computational aspects of hyperbolic partial differential equations (systems of hyperbolic conservation laws, wave equations, etc.) and of related mathematical models (PDEs of mixed type, kinetic equations, nonlocal or/and discrete models) found in the field of applied sciences.
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Product details

  • Paperback | 706 pages
  • 155 x 235 x 36.83mm | 1,092g
  • Cham, Switzerland
  • English
  • Softcover reprint of the original 1st ed. 2018
  • 135 Illustrations, color; 39 Illustrations, black and white; XV, 706 p. 174 illus., 135 illus. in color.
  • 3030082725
  • 9783030082727

Back cover copy

The first of two volumes, this edited proceedings book features research presented at the XVI International Conference on Hyperbolic Problems held in Aachen, Germany in summer 2016. It focuses on the theoretical, applied, and computational aspects of hyperbolic partial differential equations (systems of hyperbolic conservation laws, wave equations, etc.) and of related mathematical models (PDEs of mixed type, kinetic equations, nonlocal or/and discrete models) found in the field of applied sciences.
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Table of contents

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
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About Christian Klingenberg

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.
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