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.
Volume 1
Plenary Talks
Stefano Bianchini
SBV Regularity for Scalar Conservation Laws
Ulrik S. Fjordholm, Siddhartha Mishra, Eitan Tadmor Entropy StableENO Scheme
Feimin Huang
Large Time Behavior of Solutions for Compressible Navier-StokesEquations
Yoshiyuki Kagei
On Asymptotic Behavior of Solutions of the CompressibleNavier-Stokes Equation around a Parallel Flow
Tai-Ping Liu, Yanni Zeng
On Nonlinear Stability of Viscous Shock Waves with PhysicalViscosity
Tao Luo, Joel Smoller
Stellar Structure, Dynamics and Stability
Evgueni Yu. Panov
On Some Non-strictly Hyperbolic Systems of Conservation Laws
Volume 1
Plenary Talks
Stefano Bianchini
SBV Regularity for Scalar Conservation Laws
Ulrik S. Fjordholm, Siddhartha Mishra, Eitan Tadmor Entropy StableENO Scheme
Feimin Huang
Large Time Behavior of Solutions for Compressible Navier-StokesEquations
Yoshiyuki Kagei
On Asymptotic Behavior of Solutions of the CompressibleNavier-Stokes Equation around a Parallel Flow
Tai-Ping Liu, Yanni Zeng
On Nonlinear Stability of Viscous Shock Waves with PhysicalViscosity
Tao Luo, Joel Smoller
Stellar Structure, Dynamics and Stability
Evgueni Yu. Panov
On Some Non-strictly Hyperbolic Systems of Conservation Laws
Denis Serve
Irrotational Flows for Chaplygin Gas: Conical Waves
Invited Talks
Boris Andreianov
Dissipative Coupling of Scalar Conservation Laws across anInterface: Theory and Applications
Daniel Balagué, José A. Carrillo
Aggregation Equation with Growing at Infinity Attractive-repulsivePotentials
Gui-Qiang Chen, Marshall Slemrod, Dehua Wang Mixed Type Problemsfor Transonic Flow in Gas Dynamics and Isometric Embedding inGeometry
Giuseppe Maria Coclite, Kenneth Hvistendahl Karlsen HamiltonianApproximation of Entropy Solutions of the Burgers Equation
Rinaldo M. Colombo
Coupling Hyperbolic Conservation Laws and Ordinary DifferentialEquations
Jean-Francois Coulombel
Stability of Finite Difference Schemes for Hyperbolic InitialBoundary Value Problems
Wolfgang Dreyer, Clemens Guhlke
Hysteresis and Phase Transition in Many-particle Storage SystemsVolker Elling
Existence of Algebraic Vortex Spirals
Franz G. Fuchs, Andrew D. McMurry, Siddhartha Mishra, Knut WaaganRobust Finite Volume Schemes for Simulating Waves in the SolarAtmosphere
Orhan Mehmetoglu, Bojan Popov
Maximum Principle of Central Schemes with k-monotone Fluxes
Ronghua Pan
Darcy's Law in One-dimensional Isentropic Porous Medium FlowHuijiang Zhao
Diffusive Expansion for Solutions of the Boltzmann Equation in theWhole Space
Contributed Talks
Debora Amadori, Wen Shen A Nonlocal Conservation Law from a Modelof Granular Flow
David M. Ambrose, Jon Wilkening Computing Time-periodic Solutionsof Nonlinear Systems of Partial Differential Equations
Corentin Audiard
Boundary Value Problem for the Linearized Euler-Korteweg System onthe Half Line
Mathieu Bachmann, Siegfried Miiller, Philippe Helluy, Héléne MathisA Simple Model for Cavitation with Non-condensable Gases
Mapundi K. Banda, Michael Herty
Adjoint IMEX-based Schemes for the Numerical Solution of OptimalControl Problems Governed by Conservation Laws
Stefan Berres, Ricardo Ruiz-Baier, Hartmut Schwandt, Elmer M. ToryA Two-dimensional Model of Pedestrian Flow Generating PatternFormation
Fernando Betancourt, Raimund Bürger, Kenneth H. KarlsenWell-posedness and Travelling Wave Analysis for a StronglyDegenerate Parabolic Aggregation Equation
Slavko Brdar, Andreas Dedner, Robert Klofkorn
CDG Method for Navier-Stokes Equations
Manuel J. Castro, Enrique D. Fernández-Nieto, José M. González-VidaIFCP Riemann Solver for the Pitman-Le System
M. Castro, J. T. Frings, S. Noelle, C. Parés, G. Puppo
On the Hyperbolicity of Two- and Three-layer Shallow WaterEquations
Christophe Chalons, Frédéric Coquel
Computing Material Fronts with a Lagrange-Projection Approach
Florent Chazel, David Lannes, Fabien Marche
A Numerical Method for a Shallow Water Model with Dispersive SourceTerms
Volume 2
Contributed Talks
Alina Chertock, Jian-Guo Liu, Terrance Pendleton ConvergenceAnalysis of the Particle Method for the Camassa-Holm Equation
Paolo Corti
Stable Numerical Scheme for the Magnetic Induction Equation withHall Effect
Andreas Dedner, Christoph Gersbacher
A Local Discontinuous Galerkin Discretization for Hydrostatic FreeSurface Flows Using σ-transformed Coordinates
Donatella Donatelli, Pierangelo Marcati Analysis of QuasineutralLimits
Renjun Duan, Robert M. Strain
On the Full Dissipative Property of the Vlasov-Poisson-BoltzmannSystem
P. Engel, C. Rohde
On the Space-Time Expansion Discontinuous Galerkin Method UlrikSkre Fjordholm
Energy Conservative and Stable Schemes for the Two-layer ShallowWater Equations
Jan Giesselmann
Sharp Interface Limits for Korteweg Models
Nan Jiang
On the Convergence of Semi-discrete High Resolution Schemes withSuperbee Flux Limiter for Conservation Laws
Song Jiang, Qiangchang Ju, Fucai Li
Asymptotic Limits of the Compressible MagnetohydrodynamicEquations
Chunhua Jin, Tong Yang, Jingxue Yin
Waiting Time for a Non-Newtonian Polytropic Filtration Equationwith Convection
Quansen Jiu, Yi Wang, Zhouping Xin
Stability of Rarefaction Waves to the 1D Compressible Navier-Stokes Equations with Density-dependent Viscosity
E. A. Johnson, J. A. Rossmanith
Ten-Moment Two-fluid Plasma Model Agrees Well with PIC/Vlasov inGEM Problem
Frederike Kissling, Christian Rohde
Numerical Simulation of Nonclassical Shock Waves in Porous Mediawith a Heterogeneous Multiscale Method
Ujjwal Koley
Implicit Finite Difference Scheme for the Magnetic InductionEquation
Anastasia Korshunova, Olga Rozanova
On Effects of Stochastic Regularization for the Pressureless GasDynamics
Dietmar Kroener
Jump Conditions across Phase Boundaries for the Navier- StokesKorteweg system
Kai Krycki, Martin Frank
Numerical Treatment of a Non-classical Transport Equation ModellingRadiative Transfer in Atmospheric Clouds
Harish Kumar
Finite Volume Methods for the Two-fluid MHD Equations
Tong Li, Zhi-An Wang
Nonlinear Stability of Large Amplitude Traveling Waves toHyperbolic-parabolic System Modeling Chemotaxis
Yong Li, Song Jiang, Qiangchang Ju, Hailiang Li
Quasi-neutral Limits of the Two-fluid Euler-Poisson Systems
Qiuhua Liang
Dynamically Adaptive Simulation of Solute Transport Driven byShallow Flows
Chunjin Lin
Asymptotic Stability of Rarefaction Waves in RadiativeHydrodynamics
Jun Luo, Kun Xu
A Symplecticity-preserving Gas-kinetic Scheme for HydrodynamicEquations under External Forcing Field
Andrea Mentrelli, Tommaso Ruggeri, Masaru Sugiyama, NanrongZhao
Shock Wave Admissibility and Shock-induced Phase Transitions in avan der Waals Fluid
Magali Mercier
L1 Stability for Scalar Balance Laws; Application to PedestrianTraffic
Gino Montecinos, Eleuterio Toro
Solver for the Generalized Riemann Problem for Balance Laws withStiff Source Terms: The Scalar Case
Thomas Mueller, Dietmar Kroener
Related Problems for TV-estimates for Conservation Laws onSurfaces
Maria Luz Munoz-Ruiz, Carlos Parés Madronal
Properties of Path-conservative Schemes for Hyperbolic Systems ofBalance Laws
Martin Nolte
A Fast Sweeping Method for Computing the EffectiveHamiltonian
Martina Pawlak, Thomas Sonar
A Spectral Difference Method with Dubiner Polynomials onTriangulations
G. Puppo, M. Semplice
Adaptive Grids and the Entropy Error Indicator
Xiaohong Qin, Yi Wang
Large-time Behavior of Solutions to the Inflow Problem of FullCompressible Navier-Stokes Equations
Peng Qu
Mechanism of Singularity Formation for Linearly DegenerateQuasilinear Hyperbolic Systems
Olivier Rouch, Paul Arminjon
Extension of Harten's Artificial Compression Method and of anEntropy-based Detector of Discontinuity to Unstructured TriangularGrids, using Arminjon-Viallon's Staggered Central Scheme
Roman Semenko
Layered Structures: Instability of the Shock Waves andElecrtodynamical Instability
Zhi-Qiang Shao
Global Classical Discontinuous Solutions to the Generalized RiemannProblem for Linearly Degenerate Hyperbolic Conservation Laws underSmall BV Perturbations of the Initial Data
V. M. Shelkovich
One Class of Systems of Conservation Laws AdmittingDelta-shocks
Wen Shen, Tianyou Zhang
A Conservation Law with Nonlocal Flux for Erosion Profiles
Keh-Ming Shyue
A Moving-mesh Relaxation Scheme for One-dimensional BarotropicTwo-phase Flow with Cavitation
Yuri Trakhinin
Well-posedness of the Free Boundary Problem for Non-relativisticand Relativistic Compressible Euler Equations with a VacuumBoundary Condition
Yoshihiro Ueda
Convergence Rate to the Stationary Waves for Viscous ConservationLaws with Non-convexity on the Half Space
M. A. Ullah, Wenbin Gao, De-Kang Mao
Numerical Simulation of Shock-bubble Interactions UsingConservative Front Tracking Method
Jing Wang, Feng Xie
Asymptotic Stability of Viscous Contact Wave for the 1D RadiationHydrodynamics System
Kung-Chien Wu, Chi-Kun Lin
Dispersive Limits of the Nonlinear Klein-Gordon Equation
Hao Yan, Li Chen
Semiclassical Limit of Quantum Semiconductor Models
Penghong Zhong, Shu Wang, Ke Wang, Ronghui Yang
A Result on Global Solutions to 3D Complex Ginzburg-LandauEquation
Penghong Zhong, Shu Wang, Ke Wang, Ronghui Yang
Exact Configuration for 3D Ginzburg-Landau Equation Based on SomeODEs
Author Index
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