Hyperbolic Problems: Theory, Numerics and Applications, Part 1: Plenary & Invited Talks
About this Title
Eitan Tadmor, University of Maryland, College Park, MD, Jian-Guo Liu, Duke University, Durham, NC and Athanasios Tzavaras, University of Crete, Heraklion, Greece, Editors
Publication: Proceedings of Symposia in Applied Mathematics
Publication Year: 2009; Volume 67.1
ISBNs: 978-0-8218-4729-9 (print); 978-0-8218-9282-4 (online)
The International Conference on Hyperbolic Problems: Theory, Numerics and Applications, “HYP2008”, was held at the University of Maryland from June 9–13, 2008. This was the twelfth meeting in the bi-annual international series of HYP conferences which originated in 1986 at Saint-Etienne, France, and over the last twenty years has become one of the highest quality and most successful conference series in Applied Mathematics.
This book, the first in a two-part volume, contains nineteen papers based on plenary and invited talks presented at the conference. These original research and review papers written by leading experts as well as promising young scientists represent the state-of-the-art research frontiers in hyperbolic equations and related problems, ranging from theoretical analysis to algorithm development and applications in physical sciences and engineering.
This volume will bring readers to the forefront of research in this most active and important area in applied mathematics.
Graduate students and research mathematicians interested in theory and applications of hyperbolic partical differential equations.
Table of Contents
- Sylvie Benzoni-Gavage and Jean-François Coulombel – Multidimensional shock waves and surface waves [MR 2605210]
- Gui-Qiang Chen and Mikhail Feldman – Shock reflection-diffraction phenomena and multidimensional conservation laws [MR 2605211]
- Shuxing Chen – Study on Mach reflection and Mach configuration [MR 2605212]
- François Golse – Nonlinear regularizing effect for conservation laws [MR 2605213]
- Shi Jin – Numerical methods for hyperbolic systems with singular coefficients: well-balanced scheme, Hamiltonian preservation, and beyond [MR 2605214]
- Alexander Kiselev – Some recent results on the critical surface quasi-geostrophic equation: a review [MR 2605215]
- Benoît Perthame – Why hyperbolic and kinetic models for cell populations self-organization? [MR 2605216]
- Benedetto Piccoli – Flows on networks and complicated domains [MR 2605217]
- Debora Amadori and Andrea Corli – Global solutions for a hyperbolic model of multiphase flow [MR 2605218]
- Fabio Ancona and Andrea Marson – On the convergence rate for the Glimm scheme [MR 2605219]
- Weizhu Bao and Fong Yin Lim – Analysis and computation for the semiclassical limits of the ground and excited states of the Gross-Pitaevskii equation [MR 2605220]
- Gui-Qiang Chen, Marshall Slemrod and Dehua Wang – Conservation laws: transonic flow and differential geometry [MR 2605221]
- Cleopatra Christoforou – A survey on the $L^1$ comparison of entropy weak solutions to Euler equations in the large with respect to physical parameters [MR 2605228]
- Piero D’Ancona, Damiano Foschi and Sigmund Selberg – Low regularity solutions of the Maxwell-Dirac system [MR 2605222]
- Andreas Dedner and Robert Klöfkorn – Stabilization for discontinuous Galerkin methods applied to systems of conservation laws [MR 2605223]
- Camillo De Lellis – Ill-posedness for bounded admissible solutions of the 2-dimensional $p$-system [MR 2605224]
- Donatella Donatelli and Pierangelo Marcati – Applications of dispersive estimates to the acoustic pressure waves for incompressible fluid problems [MR 2605225]
- Philippe G. LeFloch – Stability in the $L^1$ norm via a linearization method for nonlinear hyperbolic systems [MR 2605226]
- Shinya Nishibata and Masahiro Suzuki – A review of semiconductor models: global solvability and hierarchy [MR 2605227]