双曲型问题 : 理论、数值方法及应用

Volume 1

Plenary Talks

Stefa'no Bianchin,i

SBV Regularity for Scalar Conservation Laws

U/r/k S. Fjo'rdholm,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 Serre

Irrotational Flows for Chaplygin Gas: Conical Waves

Invited Talks

Botis Andreianov

Dissipative Coupling of Scalar Conservation Laws across an Interface

Theory and Applications

Daniel Balague,Jose A.Carrillo

Aggregation Equation with Growing at Infinity Attractive-repulsive Potentials

Gui-Qiang Che'n,Marshall Sle'mrod,Dehua Wa'n.g

Mixed Type Problems for Transonic Flow in Gas Dynamics and Isometric Embedding in Geometry

Giuseppe Maria Coclite,Kenn,eth Hvistefndahl Karlsen

Hamiltonian Approximation of Entropy Solutions of the Burgers Equation

Rin,aldo M. Colombo

Coupling Hyperbolic Conservation Laws and Ordinary Differential Equations

Jean-Francois Coulotmbel

Stability of Finite Difference Schemes for Hyperbolic Initial Boundary Value Problems

Wolfgan,g Dreyer,Clemerns Guhlke

Hysteresis and Phase Transition in Many-particle Storage Systems

Volker Elling

Existence of Algebraic Vortex Spirals

Fanz G. Fuchs,Atn,drew D. McMurry,Siddhartha Mishra,Kn,ut Waagan

Robust Finite Volume Schemes for Simulating Waves in the Solar Atmosphere

Orhafn Mehmetoglu,Bojan Popov

Maximum Principle of Central Schemes with k-monotone

Fluxes

……

Volume 2

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.