Local Minimization, Variational Evolution and ¿-Convergence
Language: English
Published by Springer, 2013
- Softcover
- Used
Condition: Used - Fine
£ 10.96
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Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher | 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.
Seller Inventory # 24284975/12
- Title
- Local Minimization, Variational Evolution and ¿-Convergence
- Author
- Braides, Andrea
- Publisher
- Springer
- Publication year
- 2013
- Condition
- Sehr gut
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 3319019813
- ISBN 13
- 9783319019819
- Series
- Book 13 of 20: Lecture Notes in Mathematics
- Seller catalogs
- Bücher
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.
"Synopsis" may belong to another edition of this title.
From the Back Cover
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.
"About the title" may belong to another edition of this title.
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