Local Minimization, Variational Evolution and G-Convergence

Braides, Andrea

ISBN 10: 3319019813 / ISBN 13: 9783319019819

Published by Springer 2013-11, 2013

About this Item

Seller Inventory # 6666-IUK-9783319019819

Bibliographic Details

• Title: Local Minimization, Variational Evolution and G-Convergence
• Publisher: Springer 2013-11
• Publication Date: 2013
• Language: English
• ISBN 10: 3319019813
• ISBN 13: 9783319019819
• Binding: PF
• Condition: New

About this title

Synopsis

This book addresses new questions related to the asymptotic description of converging energies from the standpoint of local minimization and variational evolution. It explores the links between Gamma-limits, quasistatic evolution, gradient flows and stable points, raising new questions and proposing new techniques. These include the definition of effective energies that maintain the pattern of local minima, the introduction of notions of convergence of energies compatible with stable points, the computation of homogenized motions at critical time-scales through the definition of minimizing movement along a sequence of energies, the use of scaled energies to study long-term behavior or backward motion for variational evolutions. The notions explored in the book are linked to existing findings for gradient flows, energetic solutions and local minimizers, for which some generalizations are also proposed.