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.
Hu, J., Jin, S. and Shu, R: A Stochastic Galerkin Method for the
Fokker-Planck-Landau Equation with Random Uncertainties.- Hu, G., Meng, X.
and Tang, T: On Robust and Adaptive Finite Volume Methods for Steady Euler
Equations.- Hunter, J. K: The Burgers-Hilbert Equation.- Jaust, A. and
Schutz, J: General Linear Methods for Time-Dependent PDEs.- Jiang, Y. and
Liu, H: An Invariant-Region-Preserving (IRP) Limiter to DG Methods for
Compressible Euler Equations.- Jiang, N: -Schemes with Source Terms and the
Convergence Analysis.- Kabil, B: Existence of Undercompressive Shock Wave
Solutions to the Euler Equations.- Karite, T., Boutoulout, A. and Alaoui, F.
Z. E: Some Numerical Results of Regional Boundary Controllability with Output
Constraints.- Kausar, R. and Trenn, S: Water Hammer Modeling for Water
Networks via Hyperbolic PDEs and Switched DAEs.- Kiri, Y. and Ueda, Y:
Stability Criteria for Some System of Delay Differential Equations.- Klima,
M., Kucharik, M., Shashkov, M. and Velechovsky, J: Bound-Preserving
Reconstruction of Tensor Quantities for Remap in ALE Fluid Dynamics.-
Klingenberg, C. and Thomann, A: On Computing Compressible Euler Equations
with Gravity.- Klingenberg, C., Klotzky, J. and Seguin, N: On Well-Posedness
for a Multi-Particle-Fluid Model.- Klingenberg, C., Li, Q. and Pirner, M: On
Quantifying Uncertainties for the Linearized BGK Kinetic Equation.-
Klingenberg, C., Pirner, M. and Puppo, G: Kinetic ES-BGK Models for a
Multi-Component Gas Mixture.- Klingenberg, C., Schnücke, G. and Xia, Y: An
Arbitrary Lagrangian-Eulerian Discontinuous Galerkin Method for Conservation
Laws: Entropy Stability.- Koellermeier, J. and Torrilhon, M: Simplied
Hyperbolic Moment Equations.- Korsch, A: Weakly Coupled Systems of
Conservation Laws on Moving Surfaces.- Krankel, M. and Kröner, D: A Phaseeld
Model for Flows with Phasetransition.- Lambert, W. J., Alvarez, A. C.,
Marchesin, D. and Bruining, J: Mathematical Theory of Two Phase Geochemical
Flow with Chemical Species.- Lee, M-G., Katsaounis, T. and Tzavaras, A. E:
Localization of Adiabatic Deformations in Thermoviscoplastic Materials.-
LeFloch, P. G: The Global Nonlinear Stability of Minkowski Spacetime for
Self-Gravitating Massive Fields.- Magiera, J. and Rohde, C: A Particle-Based
Multiscale Solver for Compressible Liquid-Vapor Flow.- Mascia, C. and Nguyen,
T. T: Lp-Lq Decay Estimates for Dissipative Linear Hyperbolic Systems in 1D.-
Mifsud, C. and Despres, B: A Numerical Approach of Friedrichs Systems Under
Constraints in Bounded Domains.- Modena, S: Lagrangian Representation for
Systems of Conservation Laws: An Overview.- Murti, R., Baskar, S. and Prasad,
P: Kinematical Conservation Laws in Inhomogeneous Media.- Offner, P.,
Glaubitz, J., Ranocha, H. and Sonar, T: Articial Viscosity for Correction
Procedure via Reconstruction Using Summation-by-Parts Operators.- Ohnawa, M:
On A Relation Between Shock Proles and Stabilization Mechanisms in a
Radiating Gas Model.- Panov, E. Y: On the Long-time Behavior of Almost
Periodic Entropy Solutions to Scalar Conservations Laws.- Pareschi, L. and
Zanella, M: Structure Preserving Schemes for Mean-Field
Equations of Collective Behaviour.- Pelanti, M., Shyue, K-M. and Flatten, T:
A Numerical Model for Three-Phase Liquid-Vapor-Gas Flows with Relaxation
Processes.- Peralta, G: Feedback Stabilization of a Linear Fluid-Membrane
System with Time-Delay.- Peshkov, I., Romenski, E. and Dumbser, M: A Unified
Hyperbolic Formulation for Viscous Fluids and Elastoplastic Solids.- Pichard,
T., Dubroca, B., Brull, S. and Frank, M: On the Transverse Diffusion of Beams
of Photons in Radiation Therapy.- Prebeg, M: Numerical Viscosity in Large
Time Step HLL-type Schemes.- Ranocha, H., Offner, P. and Sonar, T: Correction
Procedure via Reconstruction Using Summation-by-parts Operators.- Ray, D: A
Third-Order Entropy Stable Scheme for the Compressible Euler Equations.- Roe,
P: Did Numerical Methods for Hyperbolic Problems Take a Wrong Turning?.-
Röpke, F. K: Astrophysical Fluid Dynamics and Applications to Stellar
Modelling.- Rozanova, O. S. and Turzynsky, M. K: Nonlinear Stability of
Localized and Non-localized Vortices in Rotating Compressible Media.- Sahu,
S: Coupled Scheme for Hamilton-Jacobi Equations.- Seguin, N: Compressible
Heterogeneous Two-Phase Flows.- Shu, C-W: Bound-Preserving High Order Schemes
for Hyperbolic Equations: Survey and Recent Developments.- Sikstel, A.,
Kusters, A., Frings, M., Noelle, S. and Elgeti, S: Comparison of Shallow
Water Models for Rapid Channel Flows.- Straub, V., Ortleb, S., Birken, P. and
Meister, A: On Stability and Conservation Properties of (s)EPIRK Integrators
in the Context of Discretized PDEs.- Wang, T-Y: Compactness on
Multidimensional Steady Euler Equations.- Weber, F: A Constraint Preserving
Finite Difference Method for the Damped Wave Map Equation to the Sphere.-
Yagdjian, K: Integral Transform Approach to Solving Klein-Gordon Equation
with Variable Coefcients.- Zakerzadeh, H: Asymptotic Consistency of the
RS-IMEX Scheme for the Low-Froude Shallow Water Equations: Analysis and
Numeric.- Zakerzadeh, M and May, G: Class of Space-Time Entropy Stable DG
Schemes for Systems of Convection-Diffusion.- Zumbrun, K: Invariant Manifolds
for a Class of Degenerate Evolution Equations and Structure of Kinetic Shock
Layers.
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.
Lisainfo e-raamatute kohta