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Titlebook: Geometric Flows on Planar Lattices; Andrea Braides,Margherita Solci Book 2021 The Editor(s) (if applicable) and The Author(s), under exclu

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發(fā)表于 2025-3-21 17:05:34 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Geometric Flows on Planar Lattices
編輯Andrea Braides,Margherita Solci
視頻videohttp://file.papertrans.cn/384/383510/383510.mp4
概述Introduces important concepts in modern Applied Analysis through prototypical problems, discussed in a natural way.Advanced research topics are introduced in a stimulating and constructive fashion.Cop
叢書名稱Pathways in Mathematics
圖書封面Titlebook: Geometric Flows on Planar Lattices;  Andrea Braides,Margherita Solci Book 2021 The Editor(s) (if applicable) and The Author(s), under exclu
描述This book introduces the reader to important concepts in modern applied analysis, such as homogenization, gradient flows on metric spaces, geometric evolution, Gamma-convergence tools, applications of geometric measure theory, properties of interfacial energies, etc. This is done by tackling a prototypical problem of interfacial evolution in heterogeneous media, where these concepts are introduced and elaborated in a natural and constructive way. At the same time, the analysis introduces open issues of a general and fundamental nature, at the core of important applications. The focus on two-dimensional lattices as a prototype of heterogeneous media allows visual descriptions of concepts and methods through a large amount of illustrations.. . .
出版日期Book 2021
關(guān)鍵詞Variational evolution; Gradient flows; Homogenization; Heterogeneous media; Geometric motions; Motion by
版次1
doihttps://doi.org/10.1007/978-3-030-69917-8
isbn_softcover978-3-030-69919-2
isbn_ebook978-3-030-69917-8Series ISSN 2367-3451 Series E-ISSN 2367-346X
issn_series 2367-3451
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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Evolution of Planar Lattices,udied in the previous chapter. As shown in Theorem . (and also Theorem .) the discrete-to-continuum Γ-limits of such energies are crystalline perimeters. In Sect. 4.1 we first describe motion by square crystalline curvature, which is obtained as a minimizing movement for the square perimeter (.) usi
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Book 2021volution, Gamma-convergence tools, applications of geometric measure theory, properties of interfacial energies, etc. This is done by tackling a prototypical problem of interfacial evolution in heterogeneous media, where these concepts are introduced and elaborated in a natural and constructive way.
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https://doi.org/10.1007/978-3-642-50271-2apter is devoted to the study of the Γ-limit of energies defined on lattices at a space scaling which gives a surface energy in the limit. The corresponding minimizing movement for . will provide a reference geometric motion (motion by crystalline curvature), which will be defined and analyzed in the next chapter.
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