**Proceedings of Symposia in Applied Mathematics**

Volume: 67;
2009;
999 pp;
Hardcover

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

Print ISBN: 978-0-8218-4730-5

Product Code: PSAPM/67.2

List Price: $159.00

Individual Member Price: $127.20

**Electronic ISBN: 978-0-8218-9283-1
Product Code: PSAPM/67.2.E**

List Price: $159.00

Individual Member Price: $127.20

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# Hyperbolic Problems: Theory, Numerics and Applications: Contributed 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 second in a two-part volume, contains more than sixty articles
based on contributed talks given at the conference. The articles are
written by leading researchers as well as promising young scientists
and cover a diverse range of multi-disciplinary topics addressing
theoretical, modeling and computational issues arising under the
umbrella of “hyperbolic PDEs”.

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 partial differential equations.

# Table of Contents

## Hyperbolic Problems: Theory, Numerics and Applications: Contributed Talks

- Contents v6
- Part 2: Contributed Talks iii4 free
- Preface xiii14 free
- List of sponsors xv16 free
- List of all HYP2008 participants xvii18 free
- Contributed Talks 33524 free
- Two–dimensional transport equation with Hamiltonian vector fields 33726
- Analytic regularization of an inverse problem for a system of conservation laws 34736
- On the finite weak solutions to a system in quantum fluid dynamics 35948
- Accuracy of modeling error estimates for discrete velocity models 36958
- The Riemann solution for three-phase flow in a porous medium 37968
- Non-oscillatory central schemes for 3D hyperbolic conservation laws 38978
- A conservative, positivity preserving scheme for advection-diffusion-reaction equations in biochemical applications 39988
- On the spectrum of a rank two modification of a diagonal matrix for linearized fluxes modelling polydisperse sedimentation 40998
- Invariant manifolds for viscous profiles of a class of mixed hyperbolic-parabolic systems 419108
- Nonlinear iterative solvers for unsteady Navier-Stokes equations 429118
- An approximate Riemann solver for ideal MHD based on relaxation 439128
- Numerical solution of an inverse problem for a scalar conservation law modelling sedimentation 445134
- A conservation law with discontinuous flux modelling traffic flow with abruptly changing road surface conditions 455144
- Numerical investigation of finite difference schemes for nonconservative hyperbolic systems 465154
- Relaxed schemes for nonlinear evolutionary PDEs 477166
- Global asymptotic effects of the structure of combustion waves in porous media 487176
- Multiscale dynamics of 2D rotational compressible Euler equations — an analytical approach 497186
- Finite volume methods on unstructured Voronoi meshes for hyperbolic conservation laws 507196
- On the continuum modeling of crowds 517206
- Balance laws as quasidifferential equations in metric spaces 527216
- Simulation of rain-water overland-flow 537226
- On the vanishing viscosity approximation in the vectorial case 547236
- Counterexamples to the sonic and detachment criteria 557246
- Well-balanced high order scheme for 2-layer shallow water flows 565254
- High-order definite volume schemes for wave propagation in stratified atmospheres 575264
- High-order definite volume schemes for shallow water equations with topography and dry areas 585274
- Riemann solvers for conservation laws at a node 595284
- Reduced basis method for explicit definite volume approximations of nonlinear conservation laws 605294
- Error estimate for the local discontinuous Galerkin scheme of a diffusive-dispersive equation with convolution 615304
- Cauchy problem for capillarity Van der Vaals model 625314
- Viscous conservation laws with discontinuous initial data 635324
- Parallel computation of large amplitude shocks for a system of conservation laws with small data 643332
- Convergence of front tracking and the Glimm scheme for a model of the flow of immiscible gases 653342
- Global existence and incompressible limit of weak solutions to the multi-dimensional compressible magnetohydrodynamics 663352
- Construction of conservative systems 673362
- Collisionless magnetic reconnection in a five-moment two-fluid electron-positron plasma 683372
- Finite difference scheme for a nonlinear damped wave equation derived from brain modulation 693382
- Convergent definite element methods for compressible barotropic Stokes systems 705394
- A hybrid scheme for flows in porous media 715404
- Discrete involutions, resonance, and the divergence problem in MHD 725414
- Two-layer shallow water system and its applications 737426
- Asymptotic rarefaction waves for balance laws with stiff sources 745434
- Comparison of staggered and cell-centered Lagrangian and ALE hydrodynamical methods 755444
- On the entropy stability of Roe-type finite volume methods 765454
- Entropy stability of Roe-type upwind finite volume methods on unstructured grids 775464
- A robust high order VFRoe scheme for shallow water equations 785474
- Vorticity preserving schemes using potential-based fluxes for the system wave equation 795484
- Half space problem for the compressible Navier-Stokes equation 805494
- Computing the effective Hamiltonian for a time-dependent Hamiltonian 815504
- Initial boundary value problems for compressible Euler equations with damping 825514
- A relaxation method for modeling two-phase shallow granular flows 835524
- Riemann problem for Born-Infeld systems 845534
- Stability of traveling waves in thin liquid films driven by gravity and surfactant 855544
- Piecewise parabolic method on a local stencil for hyperbolic conservation laws 869558
- A numerical study of magnetic reconnection: A central scheme for Hall MHD 879568
- Accuracy of stabilized residual distribution for shallow water flows including dry beds 889578
- Using the entropy production rate to enhance artificial compression 899588
- Blow up of smooth solutions to the barotropic compressible magnetohydrodynamic equations with finite mass and energy 911600
- High order well balanced schemes for systems of balance laws 919608
- Transport of mass, momentum and energy in zero-pressure gas dynamics 929618
- On a model of granular flow 939628
- A simple unified coordinates method for compressible homogeneous two-phase flows 949638
- Courant-Friedrich’s hypothesis and stability of the weak shock 959648
- Unstaggered central schemes for MHD and SMHD 967656
- Stability of planar stationary wave for damped wave equation with nonlinear convection in half space 977666
- The minimum entropy approximation to the radiative transfer equation 987676

- Author Index 997686