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Titlebook: Nonlinear Partial Differential Equations; Asymptotic Behavior Mi-Ho Giga,Yoshikazu Giga,Jürgen Saal Textbook 2010 Springer Science+Busines

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發(fā)表于 2025-3-21 19:34:46 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Nonlinear Partial Differential Equations
副標題Asymptotic Behavior
編輯Mi-Ho Giga,Yoshikazu Giga,Jürgen Saal
視頻videohttp://file.papertrans.cn/668/667626/667626.mp4
概述Challenges the reader with many exercises, examples and illustrations.Includes recent developments and several open problems.Serves as an excellent textbook for a first course in modern analysis or as
叢書名稱Progress in Nonlinear Differential Equations and Their Applications
圖書封面Titlebook: Nonlinear Partial Differential Equations; Asymptotic Behavior Mi-Ho Giga,Yoshikazu Giga,Jürgen Saal Textbook 2010 Springer Science+Busines
描述The purpose of this book is to present typical methods (including rescaling methods) for the examination of the behavior of solutions of nonlinear partial di?erential equations of di?usion type. For instance, we examine such eq- tions by analyzing special so-called self-similar solutions. We are in particular interested in equations describing various phenomena such as the Navier– Stokesequations.Therescalingmethod describedherecanalsobeinterpreted as a renormalization group method, which represents a strong tool in the asymptotic analysis of solutions of nonlinear partial di?erential equations. Although such asymptotic analysis is used formally in various disciplines, not seldom there is a lack of a rigorous mathematical treatment. The intention of this monograph is to ?ll this gap. We intend to develop a rigorous mat- matical foundation of such a formalasymptotic analysis related to self-similar solutions. A self-similar solution is, roughly speaking, a solution invariant under a scaling transformationthat does not change the equation. For several typical equations we shall give mathematical proofs that certain self-similar solutions asymptotically approximate the typical behavio
出版日期Textbook 2010
關(guān)鍵詞Burgers vortex; Navier-Stokes equations; asymptotic behavior; calculus; calculus inequalities; compactnes
版次1
doihttps://doi.org/10.1007/978-0-8176-4651-6
isbn_ebook978-0-8176-4651-6Series ISSN 1421-1750 Series E-ISSN 2374-0280
issn_series 1421-1750
copyrightSpringer Science+Business Media, LLC 2010
The information of publication is updating

書目名稱Nonlinear Partial Differential Equations影響因子(影響力)




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1421-1750 cellent textbook for a first course in modern analysis or asThe purpose of this book is to present typical methods (including rescaling methods) for the examination of the behavior of solutions of nonlinear partial di?erential equations of di?usion type. For instance, we examine such eq- tions by an
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law. It requires agreements between states on demarcation distribution and legitimization of property rights. The method of joint petroleum development - postponing the definitive border delimitation by a joint system for collaborative licensing of disputed areas and distribution of the revenues - i
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Mi-Ho Giga,Yoshikazu Giga,Jürgen Saalecurity" that was held on March 15-19, 1999, in Venice (Italy). The Workshop was sponsored by the NATO‘s Division for Scientific and Environmental Affairs, with additional support provided by the Trust for Mutual Understanding (USA). It was organized by Duke University‘s Center for International Dev
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Mi-Ho Giga,Yoshikazu Giga,Jürgen Saallaw. It requires agreements between states on demarcation distribution and legitimization of property rights. The method of joint petroleum development - postponing the definitive border delimitation by a joint system for collaborative licensing of disputed areas and distribution of the revenues - i
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Mi-Ho Giga,Yoshikazu Giga,Jürgen Saallaw. It requires agreements between states on demarcation distribution and legitimization of property rights. The method of joint petroleum development - postponing the definitive border delimitation by a joint system for collaborative licensing of disputed areas and distribution of the revenues - i
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