Hyperbolic Problems

by Tadmor, Eitan; Liu, Jian-guo; Tzavaras, Athanasios E.

• ISBN13: 9780821847299
• ISBN10: 0821847295
• Format: Hardcover
• Copyright: 2009-11-19
• Publisher: Amer Mathematical Society

Summary

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

Table of Contents

List of plenary talks: Multidimensional shock waves and surface waves

Shock reflection-diffraction phenomena and multidimensional conservation laws

Study on Mach reflection and Mach configuration

Nonlinear regularizing effect for conservation laws

Numerical methods for hyperbolic systems with singular coefficients: Well-balanced scheme, Hamiltonian preservation, and beyond

Some recent results on the critical surface quasi-geostrophic equation: A review

Why hyperbolic and kinetic models for cell populations self-organization?

Flows on networks and complicated domains

Invited talks: Global solutions for a hyperbolic model of multiphase flow

On the convergence rate for the Glimm scheme

Analysis and computation for the semiclassical limits of the ground and excited states of the Gross-Pitaevskii equation

Conservation laws: Transonic flow and differential geometry

A survey on the $L^1$ comparison of entropy weak solutions to Euler equations in the large with respect to physical parameters

Low regularity solutions of the Maxwell-Dirac system

Stabilization for discontinuous Galerkin methods applied to systems of conservation laws

Ill-posedness for bounded admissible solutions of the 2-dimensional $p$-system

Applications of dispersive estimates to the acoustic pressure waves for incompressible fluid problems

Stability in the $L^1$ norm via a linearization method for nonlinear hyperbolic systems

A review of semiconductor models: Global solvability and hierarchy

Index

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