This book contains 80 original research and review paperswhich are written by leading researchers and promising youngscientists, which cover a diverse range of multi- disciplinarytopics addressing theoretical, modeling and computational issuesarising under the umbrella of ""Hyperbolic Partial DifferentialEquations"". It is aimed at mathematicians, researchers in appliedsciences and graduate students.
- 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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