1.

Record Nr.

UNINA9910792676803321

Autore

Guo Boling

Titolo

Vanishing viscosity method : solutions to nonlinear systems / / by Boling Guo [and three others]

Pubbl/distr/stampa

Berlin ; ; Boston : , : Walter de Gruyter GmbH & Company, KG, , [2017]

©2017

ISBN

3-11-049257-1

3-11-049427-2

Descrizione fisica

1 online resource (570 pages) : illustrations

Disciplina

515/.353

Soggetti

Viscosity solutions

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

Frontmatter -- 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

Sommario/riassunto

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:PrefaceSobolev Space and PreliminariesThe Vanishing Viscosity Method of Some Nonlinear Evolution SystemThe Vanishing Viscosity Method of Quasilinear Hyperbolic SystemPhysical Viscosity and Viscosity of Difference SchemeConvergence of Lax-Friedrichs Scheme, Godunov Scheme and Glimm SchemeElectric-Magnetohydrodynamic EquationsReferences