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Vanishing viscosity method : solutions to nonlinear systems /

"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 demonstrate...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Guo, Boling (Autor), Bian, Dongfen (Autor), Li, Fangfang (Autor), Xi, Xiaoyu (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin ; Boston : Walter de Gruyter GmbH, [2017]
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 1 Sobolev Space and Preliminaries ; 1.1 Basic Notation and Function Spaces ; 1.1.1 Basic Notation ; 1.1.2 Function Spaces ; 1.1.3 Some Basic Inequalities ; 1.2 Weak Derivatives and Its Properties, Wm p (K) and Hj, p(K) Spaces.
  • 1.3 Sobolev Embedding Theorem and Interpolation Formula 1.4 Compactness Theory ; 1.5 Fixed Point Principle ; 2 The Vanishing Viscosity Method of Some Nonlinear Evolution System ; 2.1 Periodic Boundary and Cauchy Problem for High-Order Generalized KdV System in Dimension One.
  • 2.2 Some KdV System with High-Order Derivative Term 2.3 High-Order Multivariable KdV Systems and Hirota Coupled KdV Systems ; 2.4 Initial Boundary Value Problem for Ferrimagnetic Equations.
  • 2.7 Initial Value Problem for the Nonlinear Singular Integral and Differential Equations in Deep Water 2.8 Initial Value Problem for the Nonlinear Schrödinger Equations ; 2.9 Initial Value Problem and Boundary Value Problem for the Nonlinear Schrödinger Equation with Derivative.