Theory, Numerics and Applications of Hyperbolic Problems II

The 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.

Autorentext

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.

Inhalt

Chapter 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 nite 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: -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: Simplied Hyperbolic Moment Equations

Chapter 71: Andrea Korsch: Weakly coupled systems of conservation laws on moving surfaces

Chapter 72: Mirko Krankel, Dietmar Kröner: A phaseeld model for ows with phasetransition

Chapter 73: W. J. Lambert, A. C. Alvarez, D. Marchesin and J. Bruining: Mathematical theory of two phase geochemical ow 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 elds

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: ***Lagra...