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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$d©2017
215   $a1 online resource (570 pages) $cillustrations
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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 
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