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Book 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.§

Book details

Book category Books in English Mathematics & science Mathematics Calculus & mathematical analysis

• Full title: Local Minimization, Variational Evolution and -Convergence
• Author: Andrea Braides
• Language: English
• Binding: Paperback
• Number of pages: 174
• EAN: 9783319019819
• ISBN: 3319019813
• ID: 02006212
• Publisher: Springer International Publishing AG
• Weight: 298 g
• Dimensions: 154 × 228 × 11 mm
• Date of publishing: 27. October 2013

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