Local Minimization, Variational Evolution and Γ-Convergence

AvAndrea Braides

Häftad, Engelska, 2013

Del 2094 i serien Lecture Notes in Mathematics

424 kr

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E-bok

526 kr

Beskrivning

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.

Produktinformation

Utgivningsdatum:2013-11-12
Mått:155 x 235 x 11 mm
Vikt:295 g
Format:Häftad
Språk:Engelska
Serie:Lecture Notes in Mathematics
Antal sidor:174
Upplaga:2014
Förlag:Springer International Publishing AG
ISBN:9783319019819

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Recensioner i media

"The volume is carefully written and the material is organized in such a way that a Ph.D. student can gradually become familiar with GAMMA-convergence analysis and related tools. When possible, one-dimensional examples are chosen to illustrate the topics and several figures help the reader follow the presentation. The volume is very suitable for a Ph.D. course devoted to an audience with a good background in functional analysis, function spaces, and variational problems." (Giuseppe Buttazzo, Mathematical Reviews, August, 2014)

Innehållsförteckning

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.

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Local Minimization, Variational Evolution and Γ-Convergence

AvAndrea Braides

Häftad, Engelska, 2013

Del 2094 i serien Lecture Notes in Mathematics

424 kr

Beställningsvara. Skickas inom 10-15 vardagar. Fri frakt över 249 kr.

Fler format och utgåvor

E-bok

526 kr

Beskrivning

Produktinformation

Utgivningsdatum:2013-11-12
Mått:155 x 235 x 11 mm
Vikt:295 g
Format:Häftad
Språk:Engelska
Serie:Lecture Notes in Mathematics
Antal sidor:174
Upplaga:2014
Förlag:Springer International Publishing AG
ISBN:9783319019819

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Recensioner i media

Innehållsförteckning

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.