Local Minimization, Variational Evolution and Γ-Convergence by Andrea Braides
By Andrea Braides
This publication addresses new questions relating to the asymptotic description of converging energies from the point of view of neighborhood minimization and variational evolution. It explores the hyperlinks among Gamma-limits, quasistatic evolution, gradient flows and solid issues, elevating new questions and featuring new ideas. those comprise the definition of powerful energies that preserve the trend of neighborhood minima, the advent of notions of convergence of energies suitable with strong issues, the computation of homogenized motions at serious time-scales in the course of the definition of minimizing move alongside a chain of energies, using scaled energies to review long term habit or backward movement for variational evolutions. The notions explored within the booklet are associated with current findings for gradient flows, lively options and native minimizers, for which a few generalizations also are proposed.
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Local Minimization, Variational Evolution and Γ-Convergence (Lecture Notes in Mathematics)
This ebook addresses new questions relating to the asymptotic description of converging energies from the perspective of neighborhood minimization and variational evolution. It explores the hyperlinks among Gamma-limits, quasistatic evolution, gradient flows and strong issues, elevating new questions and offering new suggestions.
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