《雙曲問題——理論數值方法及應用(第2卷)(精
)》（作者李大潛、江松）內容簡介：This book
contains 80 original research and review
papers which are written by leading
researchers and promising young scientists,
which cover a diverse range of multi-
disciplinary topics addressing theoretical,
modeling and computational issues arising
under the umbrella of ""Hyperbolic Partial
Differential Equations"". It is aimed at
mathematicians, researchers in applied
sciences and graduate students.
《雙曲問題——理論數值方法及應用(第2卷)(精
)》適合相關數學研究者閱讀。

Volume 2
Contributed Talks
Alina Chertock, Jian-Guo Liu, Terrance Pendleton
Convergence Analysis of the Particle Method for the Camassa-Holm Equation
Paolo Corti
Stable Numerical Scheme for the Magnetic Induction Equation with Hall Effect
Andreas Dedner, Christoph Gersbacher
A Local Discontinuous Galerkin Discretization for Hydrostatic Free Surface Flows Using σ-transformed Coordinates
Donatella Donatelli, Pierangelo Marcati
Analysis of Quasineutral Limits
Renjun Duan, Robert M. Strain
On the Full Dissipative Property of the Vlasov-Poisson-Boltzmann System
P. Engel, C. Rohde
On the Space-Time Expansion Discontinuous Galerkin Method
Ulrik Skre Fjordholm
Energy Conservative and Stable Schemes for the Two-layer Shallow Water Equations
Jan Giesselmann
Sharp Interface Limits for Korteweg Models
Nan Jiang
On the Convergence of Semi-discrete High Resolution Schemes with Superbee Flux Limiter for Conservation Laws
Song Jiang, Qiangchang Ju, Fucai Li
Asymptotic Limits of the Compressible Magnetohydrodynamic Equations
Chunhua Jin, Tong Yang, Jingxue Yin
Waiting Time for a Non-Newtonian Polytropic Filtration Equation with 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 in GEM Problem
Frederike Kissling, Christian Rohde
Numerical Simulation of Nonclassical Shock Waves in Porous Media with a Heterogeneous Multiscale Method
Ujjwal Koley
Implicit Finite Difference Scheme for the Magnetic Induction Equation
Anastasia Korshunova, Olga Rozanova
On Effects of Stochastic Regularization for the Pressureless Gas Dynamics
Dietmar Kroener
Jump Conditions across Phase Boundaries for the Navier-Stokes Korteweg system
Kai Krycki, Martin Frank
Numerical Treatment of a Non-classical Transport Equation Modelling Radiative 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 to Hyperbolic-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 by Shallow Flows
Chunjin Lin
Asymptotic Stability of Rarefaction Waves in Radiative Hydrodynamics
Jun Luo, Kun Xu
A Symplecticity-preserving Gas-kinetic Scheme for Hydrodynamic Equations under External Forcing Field
Andrea Mentrelli, Tommaso Ruggeri, Masaru Sugiyama, Nanrong Zhao
Shock Wave Admissibility and Shock-induced Phase Transitions in a van der Waals Fluid
Magali Mercier
L1 Stability for Scalar Balance Laws; Application to Pedestrian Traffic
Gino Montecinos, Eleuterio Toro
Solver for the Generalized Riemann Problem for Balance Laws with Stiff Source Terms: The Scalar Case
Thomas Mueller, Dietmar Kroener
Related Problems for TV-estimates for Conservation Laws on Surfaces
Maria Luz Munoz-Ruiz, Carlos Parés Madronal
Properties of Path-conservative Schemes for Hyperbolic Systems of Balance Laws
Martin Nolte
A Fast Sweeping Method for Computing the Effective Hamiltonian Martina Pawlak, Thomas Sonar
A Spectral Difference Method with Dubiner Polynomials on Triangulations
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 Full Compressible Navier-Stokes Equations
Peng Qu
Mechanism of Singularity Formation for Linearly Degenerate Quasilinear Hyperbolic Systems
Olivier Rouch, Paul Arminjon
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
Roman Semenko
Layered Structures: Instability of the Shock Waves and Elecrtodynamical Instability
Zhi-Qiang Shao
Global Classical Discontinuous Solutions to the Generalized Riemann Problem for Linearly Degenerate Hyperbolic Conservation
Laws under Small BV Perturbations of the Initial Data
V. M. Shelkovich
One Class of Systems of Conservation Laws Admitting Delta-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 Barotropic Two-phase Flow with Cavitation
Yuri Trakhinin
Well-posedness of the Free Boundary Problem for Non-relativistic and Relativistic Compressible Euler Equations with a Vacuum Boundary Condition
Yoshihiro Ueda
Convergence Rate to the Stationary Waves for Viscous Conservation Laws with Non-convexity on the Half Space
M. A. Ullah, Wenbin Gao, De-Kang Mao
Numerical Simulation of Shock-bubble Interactions Using Conservative Front Tracking Method
Jing Wang, Feng Xie
Asymptotic Stability of Viscous Contact Wave for the 1D Radiation Hydrodynamics 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-Landau Equation
Penghong Zhong, Shu Wang, Ke Wang, Ronghui Yang
Exact Configuration for 3D Ginzburg-Landau Equation Based on Some ODEs
Author Index