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Variational Methods for Discontinuous Structures - International Workshop at Villa Erba (Cernobbio), Italy, July 2001 (Paperback, Softcover reprint of the original 1st ed. 2002)
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Variational Methods for Discontinuous Structures - International Workshop at Villa Erba (Cernobbio), Italy, July 2001 (Paperback, Softcover reprint of the original 1st ed. 2002)
Series: Progress in Nonlinear Differential Equations and Their Applications, 51
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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 plasticity, phase
transitions, irrigation and drainage, evolution of crystalline
shapes; in most cases theoretical and numerical analysis of these
models were provided. viii Preface Other talks were dedicated to
specific problems of the calculus of variations: variational theory
of weak or lower-dimensional structures, optimal transport prob
lems with free Dirichlet regions, higher order variational
problems, symmetrization in the BV framework."
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