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
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
![Vanishing Viscosity Method: Solutions to Nonlinear Systems](http://img.images-bn.com/static/redesign/srcs/images/grey-box.png?v11.10.4)
Vanishing Viscosity Method: Solutions to Nonlinear Systems
569![Vanishing Viscosity Method: Solutions to Nonlinear Systems](http://img.images-bn.com/static/redesign/srcs/images/grey-box.png?v11.10.4)
Vanishing Viscosity Method: Solutions to Nonlinear Systems
569Related collections and offers
Product Details
ISBN-13: | 9783110492576 |
---|---|
Publisher: | De Gruyter |
Publication date: | 12/05/2016 |
Sold by: | Barnes & Noble |
Format: | eBook |
Pages: | 569 |
File size: | 73 MB |
Note: | This product may take a few minutes to download. |
Age Range: | 18 Years |