Verfügbarkeit: Vanishing viscosity method :

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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Bibliographische Detailangaben
Hauptverfasser:	Guo, Boling (VerfasserIn), Bian, Dongfen (VerfasserIn), Li, Fangfang (VerfasserIn), Xi, Xiaoyu (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Berlin ; Boston : Walter de Gruyter GmbH, [2017]
Schlagworte:	Viscosity solutions. Solutions de viscosité. MATHEMATICS > Calculus. MATHEMATICS > Mathematical Analysis. Viscosity solutions Dynamisches System Viskositätslösung
Online-Zugang:	DE-862 DE-863
Zusammenfassung:	"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."--Resource home page
Beschreibung:	1 online resource (viii, 561 pages .)
Bibliographie:	Includes bibliographical references.
ISBN:	9783110492576 3110492571 9783110494273 3110494272 3110495287 9783110495287 9783110494280 3110494280

Internformat

MARC


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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 Walter de Gruyter GmbH, \|c [2017]
300			\|a 1 online resource (viii, 561 pages .)
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504			\|a Includes bibliographical references.
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505	0		\|a 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.
505	8		\|a 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.
505	8		\|a 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.
505	8		\|a 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.
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."--Resource home page
650		0	\|a Viscosity solutions. \|0 http://id.loc.gov/authorities/subjects/sh92004493
650		6	\|a Solutions de viscosité.
650		7	\|a MATHEMATICS \|x Calculus. \|2 bisacsh
650		7	\|a MATHEMATICS \|x Mathematical Analysis. \|2 bisacsh
650		7	\|a Viscosity solutions \|2 fast
650		7	\|a Dynamisches System \|2 gnd
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700	1		\|a Bian, Dongfen, \|e author.
700	1		\|a Li, Fangfang, \|e author.
700	1		\|a Xi, Xiaoyu, \|e author.
758			\|i has work: \|a Vanishing viscosity method (Text) \|1 https://id.oclc.org/worldcat/entity/E39PCFxtjB6cGBjfg8wykkgWQq \|4 https://id.oclc.org/worldcat/ontology/hasWork
776	0	8	\|i Print version: \|t Vanishing viscosity method. \|d Berlin ; Boston : Walter de Gruyter GmbH, [2017] \|z 9783110495287 \|w (DLC) 2016042712 \|w (OCoLC)953423903
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DE-BY-FWS_katkey	ZDB-4-EBA-ocn972238041
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author	Guo, Boling Bian, Dongfen Li, Fangfang Xi, Xiaoyu
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contents	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.
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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.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">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.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">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.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">"The book summarizes several mathematical aspects of the 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id	ZDB-4-EBA-ocn972238041
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indexdate	2025-04-11T08:43:36Z
institution	BVB
isbn	9783110492576 3110492571 9783110494273 3110494272 3110495287 9783110495287 9783110494280 3110494280
language	English
lccn	2016042712
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physical	1 online resource (viii, 561 pages .)
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spelling	Guo, Boling, author. https://id.oclc.org/worldcat/entity/E39PCjCrXmd36gYGYjWFyfd98P http://id.loc.gov/authorities/names/n2007077855 Vanishing viscosity method : solutions to nonlinear systems / Boling Guo, Dongfen Bian, Fangfang Li, Xiaoyu Xi. Berlin ; Boston : Walter de Gruyter GmbH, [2017] 1 online resource (viii, 561 pages .) text txt rdacontent computer c rdamedia online resource cr rdacarrier data file Includes bibliographical references. Print version record. 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. "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."--Resource home page Viscosity solutions. http://id.loc.gov/authorities/subjects/sh92004493 Solutions de viscosité. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Viscosity solutions fast Dynamisches System gnd Viskositätslösung gnd http://d-nb.info/gnd/4463279-4 Bian, Dongfen, author. Li, Fangfang, author. Xi, Xiaoyu, author. has work: Vanishing viscosity method (Text) https://id.oclc.org/worldcat/entity/E39PCFxtjB6cGBjfg8wykkgWQq https://id.oclc.org/worldcat/ontology/hasWork Print version: Vanishing viscosity method. Berlin ; Boston : Walter de Gruyter GmbH, [2017] 9783110495287 (DLC) 2016042712 (OCoLC)953423903
spellingShingle	Guo, Boling Bian, Dongfen Li, Fangfang Xi, Xiaoyu Vanishing viscosity method : solutions to nonlinear systems / 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. Viscosity solutions. http://id.loc.gov/authorities/subjects/sh92004493 Solutions de viscosité. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Viscosity solutions fast Dynamisches System gnd Viskositätslösung gnd http://d-nb.info/gnd/4463279-4
subject_GND	http://id.loc.gov/authorities/subjects/sh92004493 http://d-nb.info/gnd/4463279-4
title	Vanishing viscosity method : solutions to nonlinear systems /
title_auth	Vanishing viscosity method : solutions to nonlinear systems /
title_exact_search	Vanishing viscosity method : solutions to nonlinear systems /
title_full	Vanishing viscosity method : solutions to nonlinear systems / Boling Guo, Dongfen Bian, Fangfang Li, Xiaoyu Xi.
title_fullStr	Vanishing viscosity method : solutions to nonlinear systems / Boling Guo, Dongfen Bian, Fangfang Li, Xiaoyu Xi.
title_full_unstemmed	Vanishing viscosity method : solutions to nonlinear systems / Boling Guo, Dongfen Bian, Fangfang Li, Xiaoyu Xi.
title_short	Vanishing viscosity method :
title_sort	vanishing viscosity method solutions to nonlinear systems
title_sub	solutions to nonlinear systems /
topic	Viscosity solutions. http://id.loc.gov/authorities/subjects/sh92004493 Solutions de viscosité. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Viscosity solutions fast Dynamisches System gnd Viskositätslösung gnd http://d-nb.info/gnd/4463279-4
topic_facet	Viscosity solutions. Solutions de viscosité. MATHEMATICS Calculus. MATHEMATICS Mathematical Analysis. Viscosity solutions Dynamisches System Viskositätslösung
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