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Multi-scale Analysis of variational models in Continuum Mechanics - Single View

Basic Information
Type of Course Lecture Long text
Number 100986 Short text
Term SS 2013 Hours per week in term 4
Expected no. of participants Study Year
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Language english
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Lecturer Status Remarks Cancelled on Max. participants
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Mon. 08:00 to 10:00 weekly Orléans-Ring 10 - OR 21 S100.021 (N1)        
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Thu. 08:00 to 10:00 weekly Orléans-Ring 10 - OR 21 S100.021 (N1)        
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Responsible Instructor
Responsible Instructor Responsibilities
Zeppieri, Caterina, Prof. Dr. responsible
Curriculae
Graduation - Curricula Sem ECTS Bereich Teilgebiet
Master - Mathematik (88 105 10) -
Exams / Modules
Number of Exam Module
20005 Vorlesung 2 - Master Mathematik Version 2010
Assign to Departments
Fachbereich 10 Mathematik und Informatik
Contents
Literature

A. Braides: Gamma-convergence for beginners. Oxford Lecture Series in Mathematics and its Applications, 22. Oxford University Press, Oxford, 2002.

Remarks

A large variety of physical and mechanical models with variational structure contain small parameters of either constitutive or geometrical nature. The well-known examples include descriptions of fine scale mixtures in composite materials, lattice systems with characteristic atomic scales and, in general, a range of physical models with a microstructure or exhibiting some kind of microscopic phenomenon.

Scope of this course is the asymptotic analysis of energies depending on a small parameter from the stand point of global minimization and Gamma-convergence. The development of a general theory will be complemented by many concrete examples such as homogenization problems, segmentation problems, phase transition problems, and free discontinuity problems.

Prerequisites

Analysis I-III

Certificates

mündliche Prüfung


Structure Tree
Lecture not found in this Term. Lecture is in Term SS 2013 , Currentterm: WiSe 2022/23