Description
Book SynopsisThe second 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.
Table of ContentsChapter 54: Jingwei Hu, Shi Jin and Ruiwen Shu: A stochastic Galerkin method for the Fokker-Planck-Landau Equation with random uncertainties
Chapter 55: Guanghui Hu, Xucheng Meng and Tao Tang: On robust and adaptive finite volume methods for steady Euler equations
Chapter 56: John K. Hunter: The Burgers-Hilbert equation
Chapter 57: Alexander Jaust and Jochen Schutz: General linear methods for time-dependent
PDEs
Chapter 58: Yi Jiang and Hailiang Liu; An Invariant-Region-Preserving (IRP) limiter to DG methods for compressible Euler equations
Chapter 59: Nan Jiang: β -Schemes with Source Terms and the Convergence Analysis
Chapter 60: Bugra Kabil: Existence of undercompressive shock wave solutions to the Euler equations
Chapter 61: Touria Karite, Ali Boutoulout, and Fatima Zahrae El Alaoui: Some numerical results of regional boundary controllability with output constraints
Chapter 62: Rukhsana Kausar and Stephan Trenn: Water hammer modeling for water networks via
hyperbolic PDEs and switched DAEs
Chapter 63: Yuya Kiri and Yoshihiro Ueda: Stability criteria for some system of delay differential equations
Chapter 64: Matej Klima, Milan Kucharik, Mikhail Shashkov and Jan Velechovsky: Bound-Preserving Reconstruction of Tensor Quantities for Remap in ALE Fluid Dynamics
Chapter 65: Christian Klingenberg and Andrea Thomann: On computing compressible Euler equations with gravity
Chapter 66: Christian Klingenberg, Jens Klotzky and Nicolas Seguin: On well-posedness for a multi-particle-fluid model
Chapter 67: Christian Klingenberg, Qin Li and Marlies Pirner: On quantifying uncertainties for the linearized BGK kinetic equation
Chapter 68: Christian Klingenberg, Marlies Pirner and Gabriella Puppo: Kinetic ES-BGK models for a multi-component gas mixture
Chapter 69: Christian Klingenberg, Gero Schnücke, Yinhua Xia: An arbitrary Lagrangian-Eulerian discontinuous Galerkin method for conservation laws: Entropy stability
Chapter 70: Julian Koellermeier and Manuel Torrilhon: Simplified Hyperbolic Moment Equations
Chapter 71: Andrea Korsch: Weakly coupled systems of conservation laws on moving surfaces
Chapter 72: Mirko Krankel, Dietmar Kröner: A phasefield model for flows with phasetransition
Chapter 73: W. J. Lambert, A. C. Alvarez, D. Marchesin and J. Bruining: Mathematical theory of two phase geochemical flow with chemical species
Chapter 74: Min-Gi Lee, Theodoros Katsaounis and Athanasios E. Tzavaras: Localization of Adiabatic Deformations in Thermoviscoplastic Materials
Chapter 75: Philippe G. LeFloch: The global nonlinear stability of Minkowski spacetime for self-gravitating massive fields
Chapter 76: Jim Magiera and Christian Rohde: A Particle-based Multiscale Solver for Compressible Liquid-Vapor Flow
Chapter 77: Corrado Mascia and Thinh Tien Nguyen: Lp-Lq decay estimates for dissipative linear hyperbolic systems in 1D
Chapter 78: Clement Mifsud and Bruno Despres: A numerical approach of Friedrichs’ systems under constraints in bounded domains
Chapter 79: Stefano Modena: Lagrangian representation for systems of conservation laws: an overview
Chapter 80: R. Murti, S. Baskar, and P. Prasad: Kinematical conservation laws in inhomogeneous media
Chapter 81: Philipp Offner, Jan Glaubitz, Hendrik Ranocha, and Thomas Sonar: Artificial Viscosity for Correction Procedure via Reconstruction Using Summation-by-Parts Operators
Chapter 82: Masashi Ohnawa: On a relation between shock profiles and stabilization mechanisms in a radiating gas model
Chapter 83: Evgeny Yu. Panov: On the long time behavior of almost periodic entropy solutions to scalar conservations laws
Chapter 84: Lorenzo Pareschi and Mattia Zanella: Structure preserving schemes for mean-field equations of collective behavior
Chapter 85: Marica Pelanti, Keh-Ming Shyue and Tore Flatten: A Numerical Model for Three-Phase Liquid-Vapor-Gas Flows with Relaxation Processes
Chapter 86: Gilbert Peralta: Feedback Stabilization of a Linear Fluid-Membrane System with Time-Delay
Chapter 87: Ilya Peshkov, Evgeniy Romenski and Michael Dumbser: A unified hyperbolic formulation for viscous fluids and elastoplastic solids
Chapter 88: T. Pichard, B. Dubroca, S. Brull and M. Frank: On the transverse diffusion of beams of photons in radiation therapy
Chapter 89: Marin Prebeg: Numerical Viscosity in Large Time Step HLL-type Schemes
Chapter 90: Hendrik Ranocha, Philipp Offner, and Thomas Sonar: Correction procedure via reconstruction Using summation-by-parts operators
Chapter 91: Deep Ray: A third-order entropy stable scheme for the compressible Euler equations
Chapter 92: Philip Roe: Did Numerical Methods for Hyperbolic Problems Take a Wrong Turning?
Chapter 93: Friedrich K. Röpke: Astrophysical fluid dynamics and applications to stellar modeling
Chapter 94: Olga S. Rozanova and Marko K. Turzynsky: Nonlinear stability of localized and non-localized vortices in rotating compressible media
Chapter 95: Smita Sahu: Coupled scheme for Hamilton-Jacobi equations
Chapter 96: Nicolas Seguin: Compressible heterogeneous two-phase flows
Chapter 97: Chi-Wang Shu: Bound-preserving high order schemes for hyperbolic equations: survey and recent developments
Chapter 98: Aleksey Sikstel, Anne Kusters, Markus Frings, Sebastian Noelle and Stefanie Elgeti: Comparison of shallow water models for rapid channel flows
Chapter 99: Veronika Straub, Sigrun Ortleb, Philipp Birken and Andreas Meister: On stability and conservation properties of (s)EPIRK integrators in the context of discretized PDEs
Chapter 100: Tian-Yi Wang: Compactness on Multidimensional Steady Euler Equations
Chapter 101: Franziska Weber: A constraint preserving finite difference method for the damped wave map equation to the sphere
Chapter 102: Karen Yagdjian: Integral transform approach to solving Klein-Gordon equation with variable coefficients
Chapter 103: Hamed Zakerzadeh: Asymptotic consistency of the RS-IMEX scheme for the low-Froude shallow water equations: Analysis and numerics
Chapter 104: Mohammad Zakerzadeh and Georg May: Class of Space-Time Entropy Stable DG Schemes for Systems of Convection-Diffusion
Chapter 105: Kevin Zumbrun: Invariant manifolds for a class of degenerate evolution equations and structure of kinetic shock layers
