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Local Minimization, Variational Evolution and Γ-Convergence
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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cham :
Springer International Publishing : Imprint: Springer,
2014.
|
| Edición: | 1st ed. 2014. |
| Colección: | Lecture Notes in Mathematics,
2094 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 001 | 978-3-319-01982-6 | ||
| 003 | DE-He213 | ||
| 005 | 20220114132153.0 | ||
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| 020 | |a 9783319019826 |9 978-3-319-01982-6 | ||
| 024 | 7 | |a 10.1007/978-3-319-01982-6 |2 doi | |
| 050 | 4 | |a T57-57.97 | |
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| 100 | 1 | |a Braides, Andrea. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Local Minimization, Variational Evolution and Γ-Convergence |h [electronic resource] / |c by Andrea Braides. |
| 250 | |a 1st ed. 2014. | ||
| 264 | 1 | |a Cham : |b Springer International Publishing : |b Imprint: Springer, |c 2014. | |
| 300 | |a XI, 174 p. 42 illus. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Lecture Notes in Mathematics, |x 1617-9692 ; |v 2094 | |
| 505 | 0 | |a 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. | |
| 520 | |a 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. | ||
| 650 | 0 | |a Mathematics. | |
| 650 | 0 | |a Differential equations. | |
| 650 | 0 | |a Mathematical optimization. | |
| 650 | 0 | |a Calculus of variations. | |
| 650 | 0 | |a Approximation theory. | |
| 650 | 0 | |a Mathematical analysis. | |
| 650 | 0 | |a Functional analysis. | |
| 650 | 1 | 4 | |a Applications of Mathematics. |
| 650 | 2 | 4 | |a Differential Equations. |
| 650 | 2 | 4 | |a Calculus of Variations and Optimization. |
| 650 | 2 | 4 | |a Approximations and Expansions. |
| 650 | 2 | 4 | |a Analysis. |
| 650 | 2 | 4 | |a Functional Analysis. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783319019819 |
| 776 | 0 | 8 | |i Printed edition: |z 9783319019833 |
| 830 | 0 | |a Lecture Notes in Mathematics, |x 1617-9692 ; |v 2094 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-319-01982-6 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 912 | |a ZDB-2-LNM | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||