The 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
