
Vanishing Viscosity Method
Solutions to Nonlinear Systems
- 569 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
Vanishing Viscosity Method
Solutions to Nonlinear Systems
About this book
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
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Information
Table of contents
- Cover
- Title Page
- Copyright
- Preface
- Contents
- 1 Sobolev Space and Preliminaries
- 2 The Vanishing Viscosity Method of Some Nonlinear Evolution System
- 3 The Vanishing Viscosity Method of Quasilinear Hyperbolic System
- 4 Physical Viscosity and Viscosity of Difference Scheme
- 5 Convergence of Lax–Friedrichs Scheme, Godunov Scheme and Glimm Scheme
- 6 Electric–Magnetohydrodynamic Equations
- References