Vanishing Viscosity Method

Solutions to Nonlinear Systems

Boling Guo, Dongfen Bian, Fangfang Li, Xiaoyu Xi (Autoren)

Media-Kombination

VIII, 561 Seiten | Ausstattung: eBook & Hardcover

2016
De Gruyter
978-3-11-049428-0 (ISBN)

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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: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

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

Zusatzinfo	Includes a print version and an ebook
Verlagsort	Berlin/Boston
Sprache	englisch
Maße	170 x 240 mm
Themenwelt	Medizin / Pharmazie
Schlagworte	Dissipative Systems • Partial differential equations • Vanishing viscosity method
ISBN-10	3-11-049428-0 / 3110494280
ISBN-13	978-3-11-049428-0 / 9783110494280
Zustand	Neuware