Local Minimization, Variational Evolution and Γ-Convergence: 2094 (Lecture Notes in Mathematics) - Tapa blanda

Braides, Andrea

 
9783319019819: Local Minimization, Variational Evolution and Γ-Convergence: 2094 (Lecture Notes in Mathematics)

Sinopsis

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.

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De la contraportada

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.

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Otras ediciones populares con el mismo título

9783319019833: Local Minimization, Variational Evolution and Γ-Convergence

Edición Destacada

ISBN 10:  331901983X ISBN 13:  9783319019833
Editorial: Springer, 2013
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