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Titlebook: Variational Methods for Discontinuous Structures; International Worksh Gianni Maso,Franco Tomarelli Conference proceedings 2002 Springer Ba

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发表于 2025-3-21 18:41:23 | 显示全部楼层 |阅读模式
书目名称Variational Methods for Discontinuous Structures
副标题International Worksh
编辑Gianni Maso,Franco Tomarelli
视频video
丛书名称Progress in Nonlinear Differential Equations and Their Applications
图书封面Titlebook: Variational Methods for Discontinuous Structures; International Worksh Gianni Maso,Franco Tomarelli Conference proceedings 2002 Springer Ba
描述This volume contains the Proceedings of the International Workshop Variational Methods For Discontinuous Structures, which was jointly organized by the Dipar­ timento di Matematica Francesco Brioschi of Milano Politecnico and the Interna­ tional School for Advanced Studies (SISSA) of Trieste. The Conference took place at Villa Erba Antica (Cernobbio) on the Lago di Como on July 4- 6, 2001. In past years the calculus of variations faced mainly the study of continuous structures, say particularly problems with smooth solutions. One of the deepest and more delicate problems was the regularity of weak solutions. More recently, new sophisticated tools have been introduced in order to study discontinuities: in many variational problems solutions develop singularities, and sometimes the most interesting part of a solution is the singularity itself. The conference intended to focus on recent developments in this direction. Some of the talks were devoted to differential or variational modelling of image segmentation, occlusion and textures synthesizing in image analysis, varia­ tional description of micro-magnetic materials, dimension reduction and structured deformations in elasticity and
出版日期Conference proceedings 2002
关键词Calculus of Variations; Partial differential equations; functional analysis; numerical analysis; partial
版次1
doihttps://doi.org/10.1007/978-3-0348-8193-7
isbn_softcover978-3-0348-9470-8
isbn_ebook978-3-0348-8193-7Series ISSN 1421-1750 Series E-ISSN 2374-0280
issn_series 1421-1750
copyrightSpringer Basel AG 2002
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发表于 2025-3-22 00:09:08 | 显示全部楼层
Interface Energies and Structured Deformations in Plasticity,s decrease to zero. The limit elements are identified with mathematical objects called structured deformations. The model determines three regimes for the bar, which I call elastic, plastic, and fractured, and is able to describe the phenomenon of elastic unloading.
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Dimension Reduction in Continuum Mechanics,or whose thickness is very small. Making this parameter go to zero, by using a suitable notion of convergence of minimizers, we identify a “limit” functional which can be viewed as the elastic energy of the bar after being reduced to a one-dimensional structure or, alternatively, as the elastic-plastic energy of a thin plate.
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Variational Properties of a Model for Image Segmentation with Overlapping Regions,epths in space. By minimizing the functional, we try to reconstruct both a piecewise smooth approximation of the input image . and the contours of the objects together with their hidden portions. Some variational properties of the involved functionals are then studied.
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Interface Energies and Structured Deformations in Plasticity,e origin, the energy minima are attained by uniform limits of sequences of functions with a number of jumps growing to infinity, while their amplitudes decrease to zero. The limit elements are identified with mathematical objects called structured deformations. The model determines three regimes for
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