# Hyperbolic Problems: Theory, Numerics and Applications

**ISBN 13:**## 9780821847282

**ISBN 10:**## 0821847287

**Format:**Hardcover**Copyright:**12/29/2009**Publisher:**Amer Mathematical Society

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### Summary

Part I: List of plenary talks: Multidimensional shock waves and surface waves by S. Benzoni-Gavage and J.-F. Coulombel Shock reflection-diffraction phenomena and multidimensional conservation laws by G.-Q. Chen and M. Feldman Study on Mach reflection and Mach configuration by S. Chen Nonlinear regularizing effect for conservation laws by F. Golse Numerical methods for hyperbolic systems with singular coefficients: Well-balanced scheme, Hamiltonian preservation, and beyond by S. Jin Some recent results on the critical surface quasi-geostrophic equation: A review by A. Kiselev Why hyperbolic and kinetic models for cell populations self-organization? by B. Perthame Flows on networks and complicated domains by B. Piccoli Invited talks: Global solutions for a hyperbolic model of multiphase flow by D. Amadori and A. Corli On the convergence rate for the Glimm scheme by F. Ancona and A. Marson Analysis and computation for the semiclassical limits of the ground and excited states of the Gross-Pitaevskii equation by W. Bao and F. Y. Lim Conservation laws: Transonic flow and differential geometry by G.-Q. Chen, M. Slemrod, and D. Wang A survey on the $L^1$ comparison of entropy weak solutions to Euler equations in the large with respect to physical parameters by C. Christoforou Low regularity solutions of the Maxwell-Dirac system by P. D'Ancona, D. Foschi, and S. Selberg Stabilization for discontinuous Galerkin methods applied to systems of conservation laws by A. Dedner and R. Klofkorn Ill-posedness for bounded admissible solutions of the 2-dimensional $p$-system by C. De Lellis Applications of dispersive estimates to the acoustic pressure waves for incompressible fluid problems by D. Donatelli and P. Marcati Stability in the $L^1$ norm via a linearization method for nonlinear hyperbolic systems by P. G. LeFloch A review of semiconductor models: Global solvability and hierarchy by S. Nishibata and M. Suzuki Index Part II: Contributed talks: Two-dimensional transport equation with Hamiltonian vector fields by G. Alberti, S. Bianchini, and G. Crippa Analytic regularization of an inverse problem for a system of conservation laws by A. C. Alvarez, G. Hime, and D. Marchesin On the finite weak solutions to a system in quantum fluid dynamics by P. Antonelli and P. Marcati Accuracy of modeling error estimates for discrete velocity models by K. C. Assi and M. Laforest The Riemann solution for three-phase flow in a porous medium by A. V. Azevedo, A. P. de Souza, F. Furtado, and D. Marchesin Non-oscillatory central schemes for 3D hyperbolic conservation laws by J. Balbas and X. Qian A conservative, positivity preserving scheme for advection-diffusion-reaction equations in biochemical applications by J. Benz, A. Meister, and P. A. Zardo On the spectrum of a rank two modification of a diagonal matrix for linearized fluxes modelling polydisperse sedimentation by S. Berres and T. Voitovich Invariant manifolds for viscous profiles of a class of mixed hyperbolic-parabolic systems by S. Bianchini and L. V. Spinolo Nonlinear iterative solvers for unsteady Navier-Stokes equations by P. Birken and A. Jameson An approximate Riemann solver for ideal MHD based on relaxation by F. Bouchut, C. Klingenberg, and K. Waagan Numerical solution of an inverse problem for a scalar conservation law modelling sedimentation by R. Burger, A. Coronel, and M. Sepulveda A conservation law with discontinuous flux modelling traffic flow with abruptly changing road surface conditions by R. Burger, K. H. Karlsen, and J. D. Towers Numerical investigation of finite difference schemes for nonconservative hyperbolic systems by M. J. Castro-Diaz, P. G. LeFloch, M. L. Munoz-Ruiz, and C. Pares Relaxed schemes for nonlinear evolutionary PDEs by F. Cavalli, G. Naldi, G. Puppo, and M. Semplice Global asymptotic effects of the structure of combustion waves in porous media by G. Chapiro, G. Hime, A. Mailybaev, D. Marchesin, and A. P. de Souza Multiscale dynamics of 2D rotational compressi