Guo / Bian / Li Vanishing Viscosity Method

Solutions to Nonlinear Systems
1. Auflage 2016
ISBN: 978-3-11-049427-3
Verlag: De Gruyter
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 569 Seiten

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

Zielgruppe

Graduate students and researchers in mathematics, physics, and en

Autoren/Hrsg.

Guo, Boling

Bian, Dongfen

Li, Fangfang

Xi, Xiaoyu

Über Autor(innen)

B. Guo, F. Li and X. Xi, Inst. of Applied Physics and Computational Mathematics, China; D. Bian, Beijing Inst. of Technology, China.