Local minimization, variational evolution and [GAMMA]-convergence / Andrea Braides

Auteur: Braides, Andrea (1961-) - AuteurType de document: MonographieCollection: Lecture notes in mathematics ; 2094Langue: anglaisPays: SwisseÉditeur: Cham : Springer, cop. 2014Description: 1 vol. (XI-174 p.) : fig. ; 24 cm ISBN: 9783319019819 ; br. ISSN: 0075-8434Résumé: 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. (Source : Springer).Bibliographie: Bibliogr. en fin de chapitres. Index. Sujets MSC: 49-02 Calculus of variations and optimal control; optimization -- Research exposition (monographs, survey articles)
49J45 Calculus of variations and optimal control; optimization -- Existence theories -- Methods involving semicontinuity and convergence; relaxation
49K21 Calculus of variations and optimal control; optimization -- Optimality conditions -- Problems involving relations other than differential equations
En-ligne: Sommaire | Zentralblatt | MathSciNet
Location Call Number Status Date Due
Salle R 12274-01 / 49 BRA (Browse Shelf) Available

Bibliogr. en fin de chapitres. Index

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. (Source : Springer)

There are no comments for this item.

Log in to your account to post a comment.
Languages: English | Français | |