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Vanishing Viscosity Method

Solutions to Nonlinear Systems

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

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Vanishing Viscosity Method

Solutions to Nonlinear Systems

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

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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Page Count

716

Publisher

Walter de Gruyter GmbH & Co KG

Published Date

ISBN 10

3110492571

ISBN 13

9783110492576

Vanishing Viscosity Method

Solutions to Nonlinear Systems

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

Write a review Read reviews Take a Quiz Solve Book Puzzle

Vanishing Viscosity Method

Solutions to Nonlinear Systems

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

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

Average ratings

N/A

5

0%

4

0%

3

0%

2

0%

1

0%

Solve jigsaw puzzle

Age

Page Count

716

Publisher

Walter de Gruyter GmbH & Co KG

Published Date

ISBN 10

3110492571

ISBN 13

9783110492576