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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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Local Minimization, Variational Evolution and -Convergence (Paperback, 2014 ed.)
Loot Price: R1,852
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Local Minimization, Variational Evolution and -Convergence (Paperback, 2014 ed.)
Series: Lecture Notes in Mathematics, 2094
Expected to ship within 10 - 15 working days
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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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