Vanishing Viscosity Method

Solutions to Nonlinear Systems

By: Boling Guo, Xiaoyu Xi, Fangfang Li, Dongfen Bian

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Hardcover | 5 December 2016

At a Glance

Hardcover
570 Pages

Age
22+

Dimensions(cm)
24.0 x 17.0 x 3.18

Hardcover

$291.63

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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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