《双曲问题——理论数值方法及应用(第1卷)(精)》（作者李大潜、江松）内容简介：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.

《双曲问题——理论数值方法及应用(第1卷)(精)》适合数学相关研究者阅读。

Volume 1

Plenary Talks

Stefano Bianchini

SBV Regularity for Scalar Conservation Laws

Ulrik S. Fjordholm, Siddhartha Mishra, Eitan Tadmor Entropy Stable ENO Scheme

Feimin Huang

Large Time Behavior of Solutions for Compressible Navier-Stokes Equations

Yoshiyuki Kagei

On Asymptotic Behavior of Solutions of the Compressible Navier-Stokes Equation around a Parallel Flow

Tai-Ping Liu, Yanni Zeng

On Nonlinear Stability of Viscous Shock Waves with Physical Viscosity

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 an Interface: Theory and Applications

Daniel Balagué, José A. Carrillo

Aggregation Equation with Growing at Infinity Attractive-repulsive Potentials

Gui-Qiang Chen, Marshall Slemrod, Dehua Wang Mixed Type Problems for Transonic Flow in Gas Dynamics and Isometric Embedding in Geometry

Giuseppe Maria Coclite, Kenneth Hvistendahl Karlsen Hamiltonian Approximation of Entropy Solutions of the Burgers Equation

Rinaldo M. Colombo

Coupling Hyperbolic Conservation Laws and Ordinary Differential Equations

Jean-Francois Coulombel

Stability of Finite Difference Schemes for Hyperbolic Initial Boundary Value Problems

Wolfgang Dreyer, Clemens Guhlke

Hysteresis and Phase Transition in Many-particle Storage Systems Volker Elling

Existence of Algebraic Vortex Spirals

Franz G. Fuchs, Andrew D. McMurry, Siddhartha Mishra, Knut Waagan Robust Finite Volume Schemes for Simulating Waves in the Solar Atmosphere

Orhan Mehmetoglu, Bojan Popov

Maximum Principle of Central Schemes with k-monotone Fluxes

Ronghua Pan

Darcy's Law in One-dimensional Isentropic Porous Medium Flow Huijiang Zhao

Diffusive Expansion for Solutions of the Boltzmann Equation in the Whole Space

Contributed Talks

Debora Amadori, Wen Shen A Nonlocal Conservation Law from a Model of Granular Flow

David M. Ambrose, Jon Wilkening Computing Time-periodic Solutions of Nonlinear Systems of Partial Differential Equations

Corentin Audiard

Boundary Value Problem for the Linearized Euler-Korteweg System on the Half Line

Mathieu Bachmann, Siegfried Miiller, Philippe Helluy, Héléne Mathis A Simple Model for Cavitation with Non-condensable Gases

Mapundi K. Banda, Michael Herty

Adjoint IMEX-based Schemes for the Numerical Solution of Optimal Control Problems Governed by Conservation Laws

Stefan Berres, Ricardo Ruiz-Baier, Hartmut Schwandt, Elmer M. Tory A Two-dimensional Model of Pedestrian Flow Generating Pattern Formation

Fernando Betancourt, Raimund Bürger, Kenneth H. Karlsen Well-posedness and Travelling Wave Analysis for a Strongly Degenerate 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-Vida IFCP 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 Water Equations

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 Source Terms

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