These two volumes are the proceedings of the 13th International Conference on Hyperbolic Problems: Theory, Numerics and Applications (HYP 2010). The objective of the conference is to bring together experts, researchers and students with interest in theoretical analysis, numerical simulations, and applications of hyperbolic partial differential equations and related mathematical models appearing in applied sciences. The conference keeps the traditional balance of the HYP series, blending theory, numerics and applications, and an emphasis is put on nonlinear problems and applications in various fields such as fluid mechanics, elasticity, astrophysics, biomathematics, traffic flow, etc. As has been done in the past, a special effort has been made it possible for young scientists to attend this conference and to promote their interaction with the more senior researchers. These two volumes contain 80 original research and review papers which are written by leading researchers and promising young scientists, and cover a diverse range of multi-disciplinary topics addressing theoretical, modeling and computational issues arising under the umbrella of “Hyperbolic Partial Differential Equations”.

Front Matter
Volume 1
Plenary Talks
  SBV Regularity for Scalar Conservation Laws
  Ulrik S. Fjordholm, Siddhartha Mishra， Eitan Tadmor
Entropy Stable ENO Scheme
  Large Time Behavior of Solutions for Compressible
Navier-Stokes Equations
  On Asymptotic Behavior of Solutions of the Compressible
Navier-Stokes Equation around a Parallel Flow
  On Nonlinear Stability of Viscous Shock Waves with
Physical Viscosity
  Stellar Structure, Dynamics and Stability
  On Some Non-strictly Hyperbolic Systems of Conservation Laws
  Irrotational Flows for Chaplygin Gas:Conical Waves
Invited Talks
  Dissipative Coupling of Scalar Conservation Laws across an lnterface:Theory and Applications
  Aggregation Equation with Growing at Infinity Attractive-repulsive Potentials
  Mixed Type Problems for τransonic Flow in Gas Dynamics and Isometric Embedding in Geometry
  Hamiltonian Approximation of Entropy Solutions of the Burgcrs
Equation
  Coupling Hyperbolic Conservation Laws and Ordinary Differential
Equations
  Stability of Finite Difference Schemes for Hyperbolic Initial
Boundary Value Problems
  Hysteresis and Phase τ'ransition in Many-particle Storage Systems
Volker Elling Existence of Algebraic Vortex Spirals
  Existence of Algebraic Vortex Spirals
  Robust Finite Volume Schemes for Simulating Waves in the
Solar Atmosphere
  Maximurn Principle of Central Schemes with k-monotone
Fluxes
  Darcy’s Law in One-dimensional
Isentropic Porous Medium Flow∗
Contributed Talks
  Diffusive Expansion for Solutions of the
Boltzmann Equation in the Whole Space
  A Nonlocal Conservation Law from a Model
of Granular Flow
  Computing Time-periodic Solutions of
Nonlinear Systems of Partial Differential
Equations
  Boundary Value Problem for the Linearized
Euler-Korteweg System on the Half Line
  A Simple Model for Cavitation with
Non-condensable Gases
  Adjoint IMEX-based Schemes for the
Numerical Solution of Optimal Control
Problems Governed by Conservation Laws
  A Two-dimensional Model of Pedestrian
Flow Generating Pattern Formation
  Well-posedness and Travelling Wave
Analysis for a Strongly Degenerate
Parabolic Aggregation Equation
  CDG Method for Navier-Stokes Equations
  IFCP Riemann Solver for the Pitman-Le
System
  On the Hyperbolicity of Two- and
Three-Layer Shallow Water Equations
  Computing Material Fronts with a
Lagrange-Projection Approach
  A Numerical Method for a Shallow Water Model with Dispersive Source Terms
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