LEADER 02859nam 2200565 450 001 9910819068203321 005 20230810001611.0 010 $a3-11-049257-1 010 $a3-11-049427-2 024 7 $a10.1515/9783110494273 035 $a(CKB)3710000000981752 035 $a(MiAaPQ)EBC4793941 035 $a(DE-B1597)469743 035 $a(OCoLC)979633980 035 $a(OCoLC)980290242 035 $a(DE-B1597)9783110494273 035 $a(Au-PeEL)EBL4793941 035 $a(CaPaEBR)ebr11334836 035 $a(CaONFJC)MIL978210 035 $a(OCoLC)971365362 035 $a(EXLCZ)993710000000981752 100 $a20160916h20172017 uy| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 00$aVanishing viscosity method $esolutions to nonlinear systems /$fby Boling Guo [and three others] 210 1$aBerlin ;$aBoston :$cWalter de Gruyter GmbH & Company, KG,$d[2017] 210 4$dİ2017 215 $a1 online resource (570 pages) $cillustrations 311 $a3-11-049528-7 320 $aIncludes bibliographical references. 327 $tFrontmatter -- $tPreface -- $tContents -- $t1. Sobolev Space and Preliminaries -- $t2. The Vanishing Viscosity Method of Some Nonlinear Evolution System -- $t3. The Vanishing Viscosity Method of Quasilinear Hyperbolic System -- $t4. Physical Viscosity and Viscosity of Difference Scheme -- $t5. Convergence of Lax-Friedrichs Scheme, Godunov Scheme and Glimm Scheme -- $t6. Electric-Magnetohydrodynamic Equations -- $tReferences 330 $aThe 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 606 $aViscosity solutions 610 $aVanishing viscosity method. 610 $adissipative systems. 610 $apartial differential equations. 615 0$aViscosity solutions. 676 $a515/.353 700 $aGuo$b Boling, $0879545 702 $aGuo$b Boling 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910819068203321 996 $aVanishing viscosity method$93940846 997 $aUNINA