Download Local Minimization, Variational Evolution and Γ-Convergence by Andrea Braides PDF

By Andrea Braides

This publication addresses new questions concerning the asymptotic description of converging energies from the viewpoint of neighborhood minimization and variational evolution. It explores the hyperlinks among Gamma-limits, quasistatic evolution, gradient flows and good issues, elevating new questions and offering new strategies. those comprise the definition of powerful energies that continue the trend of neighborhood minima, the advent of notions of convergence of energies suitable with strong issues, the computation of homogenized motions at severe time-scales in the course of the definition of minimizing flow alongside a chain of energies, using scaled energies to review long term habit or backward movement for variational evolutions. The notions explored within the publication are associated with present findings for gradient flows, full of life ideas and native minimizers, for which a few generalizations also are proposed.

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