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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Book 2021 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.. . .

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Evolution of Planar Lattices,ter as a Γ-limit but whose minimizing movements are influenced in different ways by the local arrangements of interactions, showing how local minimization may influence the evolution through homogenization and pinning effects.

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2367-3451 , 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.. . .978-3-030-69919-2978-3-030-69917-8Series ISSN 2367-3451 Series E-ISSN 2367-346X

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https://doi.org/10.1007/978-3-0348-5342-2erformed in the relatively simplified setting of a periodic lattice, where the heterogeneous structure is somewhat built-in in the environment itself, this must be thought of as a case study for a large class of inhomogeneous media. In such a lattice setting we consider the simplest order parameter

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https://doi.org/10.1007/978-3-642-91345-7 an energy-minimizing .. While keeping in mind the application to a lattice environment, we consider the issue of the definition of a variational evolution in a general setting, not necessarily for a discrete energy. We first consider evolution for a single fixed energy; in the following we will tre

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https://doi.org/10.1007/978-3-642-50271-2eliminary analysis is suggested by Theorem ., which implies that a proper environment for the study of minimizing movements along sequences of functionals .. may be provided by the computation of their Γ-limit ., which we may always suppose exists up to subsequences. With this scope in mind, this ch

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