By Andrea Braides
This ebook addresses new questions with regards to 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 sturdy issues, elevating new questions and providing new recommendations. those contain the definition of powerful energies that keep the trend of neighborhood minima, the creation of notions of convergence of energies suitable with solid issues, the computation of homogenized motions at serious time-scales in the course of the definition of minimizing stream alongside a chain of energies, using scaled energies to check long term habit or backward movement for variational evolutions. The notions explored within the e-book are associated with present findings for gradient flows, lively options and native minimizers, for which a few generalizations also are proposed.
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