Druck auf Anfrage Neuware - Printed after ordering - This volume contains the Proceedings of the International Workshop 'Variational Methods For Discontinuous Structures', held at Villa Erba Antica (Cernobbio) on the Lago di Como, July 4-6, 2001. The workshop was jointly organized by the Dipartimento di Matematica Francesco Brioschi of Milano Politecnico and the International School for Advanced Studies (SISSA) of Trieste. In past years the calculus of variations faced mainly the study of continuous structures, 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, variational 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. Other talks were dedicated to specific problems of the calculus of variations: variational theory of weak or lower-dimensional structures, optimal transport problems with free Dirichlet regions, higher order variational problems, symmetrization in the BV framework. This volume contains contributions by 12 of the 16 speakers invited to deliver lectures in the workshop. Most of the contributions present original results in fields which are rapidly evolving at present.

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Detalles bibliogr�ficos

T�tulo: Variational Methods for Discontinuous Structures : International Workshop at Villa Erba (Cernobbio), Italy, July 2001
Editor: Springer, Basel, Birkh�user Basel
Fecha de publicaci�n: 2003
Idioma: Ingl�s
ISBN 10: 3764369132
ISBN 13: 9783764369132
Encuadernaci�n: Buch
Estado: Neu
Dimensiones: 235�mil�metros de ancho por 188 de alto por 35 de largo
Peso: 480 gramos

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Sinopsis

A Model for Mixtures of Micromagnetic Materials allowing Existence and Regularity.- Variational Properties of a Model for Image Segmentation with Overlapping Regions.- Variational Theory of Weak Geometric Structures.- Optimal Transportation Problems with Free Dirichlet Regions.- Local Minimizers for a Free Gradient Discontinuity Problem in Image Segmentation.- Irrigation.- Symmetrization and Functionals Defined on BV.- Interface Energies and Structured Deformations in Plasticity.- Higher Order Variational Problems and Phase Transitions in Nonlinear Elasticity.- Unstable Crystalline Wulff Shapes in 3D.- Dimension Reduction in Continuum Mechanics.- Reaction-Diffusion Equations and Learning.- Contributors.- List of Participants.

Rese�a del editor

This volume contains the Proceedings of the International Workshop "Variational Methods For Discontinuous Structures", held at Villa Erba Antica (Cernobbio) on the Lago di Como, July 4-6, 2001. The workshop was jointly organized by the Dipartimento di Matematica Francesco Brioschi of Milano Politecnico and the International School for Advanced Studies (SISSA) of Trieste. In past years the calculus of variations faced mainly the study of continuous structures, 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, variational 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. Other talks were dedicated to specific problems of the calculus of variations: variational theory of weak or lower-dimensional structures, optimal transport problems with free Dirichlet regions, higher order variational problems, symmetrization in the BV framework. This volume contains contributions by 12 of the 16 speakers invited to deliver lectures in the workshop. Most of the contributions present original results in fields which are rapidly evolving at present.

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