**Proceedings of Symposia in Applied Mathematics**

Volume: 67;
2009;
333 pp;
Hardcover

MSC: Primary 35; 65; 74; 76; 80; 83;

**Print ISBN: 978-0-8218-4729-9
Product Code: PSAPM/67.1**

List Price: $100.00

AMS Member Price: $80.00

MAA Member Price: $90.00

**Electronic ISBN: 978-0-8218-9282-4
Product Code: PSAPM/67.1.E**

List Price: $94.00

AMS Member Price: $75.20

MAA Member Price: $84.60

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# Hyperbolic Problems: Theory, Numerics and Applications: Plenary & Invited Talks

Share this page *Edited by *
*Eitan Tadmor; Jian-Guo Liu; Athanasios Tzavaras*

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.

#### Readership

Graduate students and research mathematicians interested in theory and applications of hyperbolic partical differential equations.

# Table of Contents

## Hyperbolic Problems: Theory, Numerics and Applications: Plenary & Invited Talks

- Contents v6
- Part 1: Plenary and Invited Talks iii4 free
- Preface xiii14 free
- List of sponsors xv16 free
- List of all HYP2008 participants xvii18 free
- PLENARY TALKS 124 free
- Multidimensional shock waves and surface waves 326
- Shock reflection-diffraction phenomena and multidimensional conservation laws 2548
- Study on Mach reflection and Mach configuration 5376
- Nonlinear regularizing effect for conservation laws 7396
- Numerical methods for hyperbolic systems with singular coefficients: Well-balanced scheme, Hamiltonian preservation, and beyond 93116
- Some recent results on the critical surface quasi-geostrophic equation: A review 105128
- Why hyperbolic and kinetic models for cell populations self-organization? 123146
- Flows on networks and complicated domains 135158

- INVITED TALKS 159182
- Global solutions for a hyperbolic model of multiphase flow 161184
- On the convergence rate for the Glimm scheme 175198
- Analysis and computation for the semiclassical limits of the ground and excited states of the Gross-Pitaevskii equation 195218
- Conservation laws: Transonic .ow and differential geometry 217240
- A survey on the L[sup(1)] comparison of entropy weak solutions to Euler equations in the large with respect to physical parameters 227250
- Low regularity solutions of the Maxwell-Dirac system 243266
- Stabilization for discontinuous Galerkin methods applied to systems of conservation laws 253276
- Ill-posedness for bounded admissible solutions of the 2-dimensional p-system 269292
- Applications of dispersive estimates to the acoustic pressure waves for incompressible fluid problems 279302
- Stability in the L[sup(1)] norm via a linearization method for nonlinear hyperbolic systems 299322
- A review of semiconductor models: Global solvability and hierarchy 315338

- Author Index 331354