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Vanishing Viscosity Method: Solutions to Nonlinear Systems by Boling Guo, Dongfen Bian, Fangfang Li

Vanishing Viscosity Method: Solutions to Nonlinear Systems

by Boling Guo , Dongfen Bian , Fangfang Li
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Book cover type: Hardcover
  • ISBN13: 9783110495287
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: de Gruyter
  • Publisher Imprint: de Gruyter
  • Publication Date:
  • Pages: 569
  • Original Price: GBP 152.0
  • Language: English
  • Edition: N/A
  • Item Weight: 1089 grams
  • BISAC Subject(s): Differential Equations / General

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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