Vanishing Viscosity Method

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A01=Boling Guo
A01=Dongfen Bian
A01=Fangfang Li
A01=Xiaoyu Xi
Author_Boling Guo
Author_Dongfen Bian
Author_Fangfang Li
Author_Xiaoyu Xi
Category=PBKA
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eq_nobargain
Vanishing viscosity method

Product details

  • ISBN 9783110495287
  • Weight: 1094g
  • Dimensions: 170 x 240mm
  • Publication Date: 05 Dec 2016
  • Publisher: De Gruyter
  • Publication City/Country: DE
  • Product Form: Hardback
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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

B. Guo, F. Li and X. Xi, Inst. of Applied Physics and Computational Mathematics, China; D. Bian, Beijing Inst. of Technology, China.

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