Vanishing Viscosity Method : : Solutions to Nonlinear Systems / / 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...

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Superior document:Title is part of eBook package: De Gruyter DG Plus eBook-Package 2017
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Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2016]
©2017
Year of Publication:2016
Language:English
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Physical Description:1 online resource (VIII, 561 p.)
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245 1 0 |a Vanishing Viscosity Method :  |b Solutions to Nonlinear Systems /  |c Boling Guo, Dongfen Bian, Fangfang Li, Xiaoyu Xi. 
264 1 |a Berlin ;  |a Boston :   |b De Gruyter,   |c [2016] 
264 4 |c ©2017 
300 |a 1 online resource (VIII, 561 p.) 
336 |a text  |b txt  |2 rdacontent 
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505 0 0 |t Frontmatter --   |t Preface --   |t Contents --   |t 1. Sobolev Space and Preliminaries --   |t 2. The Vanishing Viscosity Method of Some Nonlinear Evolution System --   |t 3. The Vanishing Viscosity Method of Quasilinear Hyperbolic System --   |t 4. Physical Viscosity and Viscosity of Difference Scheme --   |t 5. Convergence of Lax–Friedrichs Scheme, Godunov Scheme and Glimm Scheme --   |t 6. Electric–Magnetohydrodynamic Equations --   |t References 
506 0 |a restricted access  |u http://purl.org/coar/access_right/c_16ec  |f online access with authorization  |2 star 
520 |a 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 
538 |a Mode of access: Internet via World Wide Web. 
546 |a In English. 
588 0 |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) 
650 0 |a Viscosity solutions. 
650 7 |a MATHEMATICS / Differential Equations / General.  |2 bisacsh 
653 |a Vanishing viscosity method. 
653 |a dissipative systems. 
653 |a partial differential equations. 
700 1 |a Bian, Dongfen,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Li, Fangfang,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Xi, Xiaoyu,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
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