Local Minimization, Variational Evolution and Γ-Convergence

By:

Andrea Braides

Format:

Paperback / softback

Series:

Lecture Notes in Mathematics

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Description

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.

Release date Australia

November 12th, 2013

Author

Andrea Braides

Audience

Professional & Vocational

Illustrations

42 Illustrations, black and white; XI, 174 p. 42 illus.

Pages

174

Series

Lecture Notes in Mathematics

Dimensions

156x234x10

ISBN-13

9783319019819

Product ID

21560266

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