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Local Minimization, Variational Evolution and ¿-Convergence
Taschenbuch von Andrea Braides
Sprache: Englisch

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Beschreibung
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.
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.
Zusammenfassung

Provides connections between topics of active current research

Presents the subjects with examples from the main areas that have made Gamma-convergence so successful

Proposes numerous examples of directions of further research

Includes supplementary material: [...]

Inhaltsverzeichnis

Introduction.- Global minimization.- Parameterized motion driven by global minimization.- Local minimization as a selection criterion.- Convergence of local minimizers.- Small-scale stability.- Minimizing movements.- Minimizing movements along a sequence of functionals.- Geometric minimizing movements.- Different time scales.- Stability theorems.- Index.

Details
Erscheinungsjahr: 2013
Fachbereich: Allgemeines
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xi
174 S.
42 s/w Illustr.
174 p. 42 illus.
ISBN-13: 9783319019819
ISBN-10: 3319019813
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Braides, Andrea
Hersteller: Springer Nature Switzerland
Springer International Publishing
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 11 mm
Von/Mit: Andrea Braides
Erscheinungsdatum: 12.11.2013
Gewicht: 0,295 kg
Artikel-ID: 105599866
Zusammenfassung

Provides connections between topics of active current research

Presents the subjects with examples from the main areas that have made Gamma-convergence so successful

Proposes numerous examples of directions of further research

Includes supplementary material: [...]

Inhaltsverzeichnis

Introduction.- Global minimization.- Parameterized motion driven by global minimization.- Local minimization as a selection criterion.- Convergence of local minimizers.- Small-scale stability.- Minimizing movements.- Minimizing movements along a sequence of functionals.- Geometric minimizing movements.- Different time scales.- Stability theorems.- Index.

Details
Erscheinungsjahr: 2013
Fachbereich: Allgemeines
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xi
174 S.
42 s/w Illustr.
174 p. 42 illus.
ISBN-13: 9783319019819
ISBN-10: 3319019813
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Braides, Andrea
Hersteller: Springer Nature Switzerland
Springer International Publishing
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 11 mm
Von/Mit: Andrea Braides
Erscheinungsdatum: 12.11.2013
Gewicht: 0,295 kg
Artikel-ID: 105599866
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