Theory, Numerics and Applications of Hyperbolic Problems I

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.

• Abels, H., Daube, J., Kraus, C. and Kröner, D: The Sharp-Interface Limit for the Navier–Stokes–Korteweg Equations.- Abreu, E., Bustos, A. and Lambert, W. J: Asymptotic Behavior of a Solution of Relaxation System for Flow in Porous Media.- Alessandri, A., Bagnerini, P., Cianci, R. and Gaggeroi, M: Optimal Control of Level Sets Generated by the Normal Flow Equation.- Amadori, D. and Park, J: Emergent Dynamics for the Kinetic Kuramoto Equation.- Ancellin, M., Brosset, L. and Ghidaglia, J-M: A Hyperbolic Model of Non-Equilibrium Phase Change at a Sharp Liquid-Vapor Interface.- Antonelli, P., D’Amico, M. and Marcati, P: The Cauchy Problem for the Maxwell-Schrodinger System with a Power-Type Nonlinearity.- Aregba-Driollet, D. and Brull, S: Construction and Approximation of the Polyatomic Bitemperature Euler System.- Arun, K. R., Das Gupta, A. J. and Samantaray, S: An Implicit-Explicit Scheme Accurate at Low Mach Numbers for the Wave Equation System.- Ballew, J: Bose-Einstein Condensation andGlobal Dynamics of Solutions to a Hyperbolic Kompaneets Equation.- Barth, A. and Kroker, I: Finite Volume Methods for Hyperbolic Partial Differential Equations with Spatial Noise.- Baty, H. and Nishikawa, H: A Hyperbolic Approach for Dissipative Magnetohydrodynamics.- Berberich, J., Chandrashekar, P. and Klingenberg, C: A General Well-Balanced Finite Volume Scheme for Euler Equations with Gravity.- Berthon, C., Loubre, R. and Michel-Dansac, V: A Second-Order Well-Balanced Scheme for the Shallow-Water Equations with Topography.- Bianchini, S. and Marconi, E: A Lagrangian Approach to Scalar Conservation Laws.- Bonicatto, P: On Uniqueness of Weak Solutions to Transport Equation with Non-Smooth Velocity Field.- Boyaval, S: Johnson-Segalman – Saint-Venant Equations for a 1D Viscoelastic Shallow Flow in Pure Elastic Limit.- Bragin, M. D. and Rogov, B. V: On the Exact Dimensional Splitting for a Scalar Quasilinear Hyperbolic Conservation Law.- Brenier, Y: On the Derivation of the Newtonian Gravitation from the Brownian Agrigation of a Regular Lattice.- Bressan, A: Traffic Flow Models on a Network of Roads.- Brunk, A., Kolbe, N. and Sfakianakis, N: Chemotaxis and Haptotaxis on Cellular Level.- Buchmuller, P., Dreher, J. and Helzel, C: Improved Accuracy of High-Order WENO Finite Volume Methods on Cartesian Grids with Adaptive Mesh Refinement.- Castaneda, P: Explicit Construction of Effective Flux Functions for Riemann Solutions.- Castelli, P., Jabin, P-E. and Junca, S: Fractional Spaces and Conservation Laws.- Castro, M. J., Gallardo, J. M. and Marquina, A: Jacobian-Free Incomplete Riemann Solvers.- Chalons, C., Magiera, J., Rohde, C. and Wiebe, M: A Finite-Volume Tracking Scheme for Two-Phase Compressible Flow.- Chandrashekar, P. and Badwaik, J: Arbitrary Lagrangian-Eulerian Discontinuous Galerkin Method for 1-D Euler Equations.- Chandrashekar, P., Gallego-Valencia, J. P. and Klingenberg, C: A Runge-Kutta Discontinuous Galerkin Scheme for the Ideal Magnetohydrodynamical Model.- Chertock, A., Herty, M. and NurOzcan, S: Well-Balanced Central-Upwind Schemes for 2 × 2 Systems of Balance Laws.- Christoforou, C. and Tzavaras, A: On the Relative Entropy Method for Hyperbolic-Parabolic Systems.- Colombo, R. M., Klingenberg, C. and Meltzer, M-C: A Multispecies Traffic Model Based on the Lighthill-Whitham-Richards Model.- Cottet, G-H: Semi-Lagrangian Particle Methods for Hyperbolic Equations.- Courtes, C: Convergence for PDEs with an Arbitrary Odd Order Spatial Derivative Term.- Dai, Z: A Cell-Centered Lagrangian Method for 2D Ideal MHD Equations.- Dal Santo, E., Rosini, M. D. and Dymski, N: The Riemann Problem for a General.- Dedner, A. and Giesselmann, J: Residual Error Indicators for dG Schemes for Discontinuous Solutions to Systems of Conservation Laws.- Deolmi, G., Dahmen, W., Müller, S., Albers, M., Meysonnat, P. S. and Schroder, W: Effective Boundary Conditions for Turbulent Compressible Flows Over a Riblet Surface.- Francesco, M. D., Fagioli, S., Rosini, M.D. and Russo, G: A Deterministic Particle Approximation for Non-Linear Conservation Laws.- Iorio, E. D., Marcati, P. and Spirito, S: Splash Singularity for a Free-Boundary Incompressible Viscoelastic Fluid Model.- Egger, H. and Kugler, T: An Asymptotic Preserving Mixed Finite Element Method for Wave Propagation in Pipelines.- Elling, V: Nonexistence of Irrotational Flow Around Solids with Protruding Corners.- Flohr, R. and Rottmann-Matthes, J: A Splitting Approach for Freezing Waves.- Folino, R: Metastability for Hyperbolic Variations of Allen–Cahn Equation.- Fridrich, D., Liska, R. and Wendroff, B: Cell-Centered Lagrangian Lax-Wendroff HLL Hybrid Schemes in Cylindrical Geometry.- Galstian, A: Semilinear Shifted Wave Equation in the de Sitter Spacetime with Hyperbolic Spatial Part.- Galtung, S-T: Convergence Rates of a Fully Discrete Galerkin Scheme for the Benjamin–Ono Equation.- Gerhard, N. and Müller, S: The Simulation of a Tsunami Run-up Using Multiwavelet-Based Grid Adaptation.- Gersbacher, C. and Nolte, M: Constrained Reconstruction in MUSCL-type Finite Volume Schemes.- Giesselmann, J. and Zacharenakis, D: A Posteriori Analysis for the Euler-Korteweg Model.- Gomes, D., Nurbekyan, L. and Sedjro, M: Concervations Laws Arising in the Study of Forward-Forward Mean-Field Games.- Gugat, M., Herty, M. and Yu, H: On the Relaxation Approximation for 2 × 2 Hyperbolic Balance Laws.- Hantke, M., Matern, C. and Warnecke, G: Numerical Solutions for a Weakly Hyperbolic Dispersed Two-phase Flow Model.- Hawerkamp, M., Kröner, D. and Moenius, H: Optimal Controls in Flux-, Source- and Initial Terms for Weakly Coupled Hyperbolic Systems.- Herty, M., Kurganov, A., and Kurochkin, D: On Convergence of Numerical Methods for Optimization Problems Governed by Scalar Hyperbolic Conservation Laws.