This two-volume book is devoted to mathematical theory，numerics and applications of hyperbolic problems.Hyperbolic problems have not only a long history but alsoextremely rich physical background.The development ishighly stimulated by their applications to Physics，Biology，and Engineering Sciences;in particular，by the design ofeffective numerical algorithms.Due to recent rapiddevelopment of computers，more and more scientists usehyperbolic partial differential equations and relatedevolutionary equations as basic tools when proposing newmathematical models of various phenomena and relatednumerical algorithms.
This book contains 80 original research and review paperswhich are written by leading researchers and promisingyoung scientists，which cover a diverse range of multidisciplinary topics addressing theoretical，modeling andcomputational issues arising under the umbrella of"Hyperbolic Partial Differential Equations".It is aimed atmathematicians，researchers in applied sciences and graduatestudents.
- Front Matter
- Alina Chertock, Jian-Guo Liu, Terrance Pendleton Convergence Analysis of the Particle Method for the Camassa-Holm Equation
- Stable Numerical Scheme for the Magnetic Induction Equation with Hall Effect
- A Local Discontinuous Galerkin Discretization for Hydrostatic Free Surface Flows Using σ-transformed Coordinates
- Analysis of Quasineutral Limits
- On the Full Dissipative Property of the Vlasov-Poisson-Boltzmann System
- On the Space-Time Expansion Discontinuous Galerkin Method
- Energy Conservative and Stable Schemes for the Two-layer Shallow Water Equations
- Sharp Interface Limits for Korteweg Models
- On the Convergence of Semi-discrete High Resolution Schemes with Superbee Flux Limiter for Conservation Laws
- Asymptotic Limits of the Compressible Magnetohydrodynamic Equations
- Waiting Time for a Non-Newtonian Polytropic Filtration Equation with Convection
- Stability of Rarefaction Waves to the D Compressible Navier-Stokes Equations with Density-dependent Viscosity
- Ten-moment Two-fluid Plasma Model Agrees Well with PIC/Vlasov in GEM Problem
- Numerical Simulation of Nonclassical Shock Waves in Porous Media with a Heterogeneous Multiscale Method
- Implicit Finite Difference Scheme for the Magnetic Induction Equation
- On Effects of Stochastic Regularization for the Pressureless Gas Dynamics
- Jump Conditions across Phase Boundaries for the Navier-Stokes Korteweg system
- Numerical Treatment of a Non-classical Transport Equation Modelling Radiative Transfer in Atmospheric Clouds
- Finite Volume Methods for the Two-fluid MHD Equations
- Nonlinear Stability of Large Amplitude Traveling Waves to Hyperbolic-parabolic System Modeling Chemotaxis
- Quasi-neutral Limits of the Two-fluid Euler-Poisson Systems
- Dynamically Adaptive Simulation of Solute Transport Driven by Shallow Flows
- Asymptotic Stability of Rarefaction Waves in Radiative Hydrodynamics
- A Symplecticity-preserving Gas-kinetic Scheme for Hydrodynamic Equations under External Forcing Field
- Shock Wave Admissibility and Shock-induced Phase Transitions in a van der Waals Fluid
- L Stability for Scalar Balance Laws
- Solver for the Generalized Riemann Problem for Balance Laws with Stiff Source Terms: The Scalar Case
- Related Problems for TV-estimates for Conservation Laws on Surfaces
- Properties of Path-conservative Schemes for Hyperbolic Systems of Balance Laws
- A Fast Sweeping Method for Computing the Effective Hamiltonian
- A Spectral Difference Method with Dubiner Polynomials on Triangulations
- Adaptive Grids and the Entropy Error Indicator
- Large-time Behavior of Solutions to the Inflow Problem of Full Compressible Navier-Stokes Equations
- Mechanism of Singularity Formation for Linearly Degenerate Quasilinear Hyperbolic Systems
- Extension of Harten’s Artificial Compression Method and of an Entropy-based Detector of Discontinuity to Unstructured Triangular Grids, using Arminjon-Viallon’s Staggered Central Scheme
- Layered Structures: Instability of the Shock Waves and Elecrtodynamical Instability
- Global Classical Discontinuous Solutions to the Generalized Riemann Problem for Linearly Degenerate Hyperbolic Conservation Laws under Small BV Perturbations of the Initial Data
- One Class of Systems of Conservation Laws Admitting Delta-shocks
- A Conservation Law with Nonlocal Flux for Erosion Profiles
- A Moving-mesh Relaxation Scheme for One-dimensional Barotropic Two-phase Flow with Cavitation
- Well-posedness of the Free Boundary Problem for Non-relativistic and Relativistic Compressible Euler Equations with a Vacuum
- Convergence Rate to the Stationary Waves for Viscous Conservation Laws with Non-convexity on the Half Space
- Numerical Simulation of Shock-bubble Interactions Using Conservative Front Tracking Method
- Asymptotic Stability of Viscous Contact Wave for the D Radiation Hydrodynamics System
- Dispersive Limits of the Nonlinear Klein-Gordon Equation
- Semiclassical Limit of Quantum Semiconductor Models
- A Result on Global Solutions to D Complex Ginzburg-Landau Equation
- Exact Configuration for D Ginzburg-Landau Equation Based on Some ODEs
- Author Index
- Paolo Corti
- Andreas Dedner, Christoph Gersbacher
- Donatella Donatelli, Pierangelo Marcati
- Renjun Duan, Robert MStrain
- PEngel, CRohde
- Ulrik Skre Fjordholm
- Jan Giesselmann
- Nan Jiang
- Song Jiang, Qiangchang Ju, Fucai Li
- Chunhua Jin, Tong Yang, Jingxue Yin
- Quansen Jiu, Yi Wang, Zhouping Xin
- EAJohnson, JARossmanith
- Frederike Kissling, Christian Rohde
- Ujjwal Koley
- Anastasia Korshunova, Olga Rozanova
- Dietmar Kroener
- Kai Krycki, Martin Frank
- Harish Kumar
- Tong Li, Zhi-An Wang
- Yong Li, Song Jiang, Qiangchang Ju, Hailiang Li
- Qiuhua Liang
- Chunjin Lin
- Jun Luo, Kun Xu
- Andrea Mentrelli, Tommaso Ruggeri, Masaru Sugiyama, Nanrong Zhao
- Magali Mercier
- Gino Montecinos, Eleuterio Toro
- Thomas Mueller, Dietmar Kroener
- ch 29Mar´ıa Luz Mu˜noz-Ruiz, Carlos Par´es Madro˜nal
- Martin Nolte
- Martina Pawlak, Thomas Sonar
- GPuppo, MSemplice
- Xiaohong Qin, Yi Wang
- Peng Qu
- Olivier Rouch, Paul Arminjon
- Roman Semenko
- Zhi-Qiang Shao
- VMShelkovich
- Wen Shen, Tianyou Zhang
- Keh-Ming Shyue
- Yuri Trakhinin
- Boundary Condition Yoshihiro Ueda
- MAUllah, Wenbin Gao, De-Kang Mao
- Jing Wang, Feng Xie
- Kung-Chien Wu, Chi-Kun Lin
- Hao Yan, Li Chen
- Penghong Zhong, Shu Wang, Ke Wang, Ronghui Yang
- Penghong Zhong, Shu Wang, Ke Wang, Ronghui Yang
- Series in Contemporary Applied Mathematics CAM
