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:
Preface
Sobolev Space and Preliminaries
The Vanishing Viscosity Method of Some Nonlinear Evolution System
The Vanishing Viscosity Method of Quasilinear Hyperbolic System
Physical Viscosity and Viscosity of Difference Scheme
Convergence of Lax-Friedrichs Scheme, Godunov Scheme and Glimm Scheme
Electric-Magnetohydrodynamic Equations
References
- ISBN10 3110492571
- ISBN13 9783110492576
- Publish Date 5 December 2016
- Publish Status Active
- Out of Print 9 April 2021
- Publish Country DE
- Imprint De Gruyter
- Format eBook
- Pages 569
- Language English
- URL https://degruyter.com/isbn/9783110492576