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Titlebook: Similarity and Symmetry Methods; Applications in Elas Jean-François Ganghoffer,Ivaïlo Mladenov Book 2014 Springer International Publishing

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书目名称Similarity and Symmetry Methods
副标题Applications in Elas
编辑Jean-François Ganghoffer,Ivaïlo Mladenov
视频videohttp://file.papertrans.cn/868/867411/867411.mp4
概述Provides a complete overview of the concept of symmetries in applied mathematics, engineering and especially mechanics.Intended for graduate and PhD students willing to discover the interest of symmet
丛书名称Lecture Notes in Applied and Computational Mechanics
图书封面Titlebook: Similarity and Symmetry Methods; Applications in Elas Jean-François Ganghoffer,Ivaïlo Mladenov Book 2014 Springer International Publishing
描述.The principle aim of the book is to present a self-contained, modern account of similarity and symmetry methods, which are important mathematical tools for both physicists, engineers and applied mathematicians. The idea is to provide a balanced presentation of the mathematical techniques and applications of symmetry methods in mathematics, physics and engineering..That is why it includes recent developments and many examples in finding systematically conservation laws, local and nonlocal symmetries for ordinary and partial differential equations..The role of continuous symmetries in classical and quantum field theories is exposed at a technical level accessible even for non specialists. The importance of symmetries in continuum mechanics and mechanics of materials is highlighted through recent developments, such as the construction of constitutive models for various materials combining Lie symmetries with experimental data..As a whole this book is a unique collection of contributions from experts in the field, including specialists in the mathematical treatment of symmetries, researchers using symmetries from a fundamental, applied or numerical viewpoint..The book is a fascinating
出版日期Book 2014
关键词Conservation Laws; Constitutive Modeling and Symmetries; Continuous Symmetries; Geometric Mechanics; Lag
版次1
doihttps://doi.org/10.1007/978-3-319-08296-7
isbn_softcover978-3-319-37851-0
isbn_ebook978-3-319-08296-7Series ISSN 1613-7736 Series E-ISSN 1860-0816
issn_series 1613-7736
copyrightSpringer International Publishing Switzerland 2014
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Construction of Conservation Laws Using Symmetries, self-adjoint. Moreover, the class of nonlinearly self-adjoint equations includes all nonlinear equations and systems having at least one . conservation law. It follows, in particular, that the . possessing infinite set of . symmetries (.) are nonlinearly self-adjoint. An explicit formula for conser
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Symbolic Computation of Nonlocal Symmetries and Nonlocal Conservation Laws of Partial Differential nonlinear partial differential equations. In the considered examples, the nonlocal symmetries and conservation laws arise as local symmetries and conservation laws of potential systems. Full . code with detailed comments is presented. Examples of automated symmetry and conservation law classificatio
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Symmetries in Mechanics: From Field Theories to Master Responses in the Constitutive Modeling of Mairst part, we present in a synthetic and self-contained manner the formalism of classical and quantum field theory, focusing on the essential role of symmetries in connection with the Lagrangian and Hamitonian formalism. The second part highlights the importance of symmetries in continuum mechanics
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