Local Minimization, Variational Evolution and Γ-Convergence

Nonfiction, Science & Nature, Mathematics, Differential Equations, Applied
Cover of the book Local Minimization, Variational Evolution and Γ-Convergence by Andrea Braides, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Andrea Braides ISBN: 9783319019826
Publisher: Springer International Publishing Publication: July 8, 2014
Imprint: Springer Language: English
Author: Andrea Braides
ISBN: 9783319019826
Publisher: Springer International Publishing
Publication: July 8, 2014
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Construction Program Management – Decision Making and Optimization Techniques by Andrea Braides
Cover of the book Microbial Resources for Sustainable Energy by Andrea Braides
Cover of the book Postharvest Biology and Technology of Temperate Fruits by Andrea Braides
Cover of the book Working with Stem Cells by Andrea Braides
Cover of the book Evidence and Public Good in Educational Policy, Research and Practice by Andrea Braides
Cover of the book Communication Technologies, Information Security and Sustainable Development by Andrea Braides
Cover of the book Geogames and Geoplay by Andrea Braides
Cover of the book Affirmative Action Policies and Judicial Review Worldwide by Andrea Braides
Cover of the book Fifty Years of Fuzzy Logic and its Applications by Andrea Braides
Cover of the book The Experimental Nature of New Venture Creation by Andrea Braides
Cover of the book Who is Who in Thermal Analysis and Calorimetry by Andrea Braides
Cover of the book OPEC in a Shale Oil World by Andrea Braides
Cover of the book Moral Panics, Mental Illness Stigma, and the Deinstitutionalization Movement in American Popular Culture by Andrea Braides
Cover of the book Remaking Romanticism by Andrea Braides
Cover of the book Phytoremediation by Andrea Braides
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy