02859nam 2200565 450 991081906820332120230810001611.03-11-049257-13-11-049427-210.1515/9783110494273(CKB)3710000000981752(MiAaPQ)EBC4793941(DE-B1597)469743(OCoLC)979633980(OCoLC)980290242(DE-B1597)9783110494273(Au-PeEL)EBL4793941(CaPaEBR)ebr11334836(CaONFJC)MIL978210(OCoLC)971365362(EXLCZ)99371000000098175220160916h20172017 uy| 0engurcnu||||||||rdacontentrdamediardacarrierVanishing viscosity method solutions to nonlinear systems /by Boling Guo [and three others]Berlin ;Boston :Walter de Gruyter GmbH & Company, KG,[2017]©20171 online resource (570 pages) illustrations3-11-049528-7 Includes bibliographical references.Frontmatter -- Preface -- Contents -- 1. Sobolev Space and Preliminaries -- 2. The Vanishing Viscosity Method of Some Nonlinear Evolution System -- 3. The Vanishing Viscosity Method of Quasilinear Hyperbolic System -- 4. Physical Viscosity and Viscosity of Difference Scheme -- 5. Convergence of Lax-Friedrichs Scheme, Godunov Scheme and Glimm Scheme -- 6. Electric-Magnetohydrodynamic Equations -- ReferencesThe book summarizes several mathematical aspects of the vanishing viscosity method and considers its applications in studying dynamical systems such as dissipative systems, hyperbolic conversion systems and nonlinear dispersion systems. Including original research results, the book demonstrates how to use such methods to solve PDEs and is an essential reference for mathematicians, physicists and engineers working in nonlinear science. Contents:PrefaceSobolev Space and PreliminariesThe Vanishing Viscosity Method of Some Nonlinear Evolution SystemThe Vanishing Viscosity Method of Quasilinear Hyperbolic SystemPhysical Viscosity and Viscosity of Difference SchemeConvergence of Lax-Friedrichs Scheme, Godunov Scheme and Glimm SchemeElectric-Magnetohydrodynamic EquationsReferences Viscosity solutionsVanishing viscosity method.dissipative systems.partial differential equations.Viscosity solutions.515/.353Guo Boling, 879545Guo BolingMiAaPQMiAaPQMiAaPQBOOK9910819068203321Vanishing viscosity method3940846UNINA