Approximation of Free-Discontinuity Problems (Lecture Notes in Mathematics, 1694, Band 1694) - Softcover

Braides, Andrea

Softcover

ISBN 10: 3540647716 ISBN 13: 9783540647713

Verlag: Springer, 2008

Inhaltsangabe

Functionals involving both volume and surface energies have a number of applications ranging from Computer Vision to Fracture Mechanics. In order to tackle numerical and dynamical problems linked to such functionals many approximations by functionals defined on smooth functions have been proposed (using high-order singular perturbations, finite-difference or non-local energies, etc.) The purpose of this book is to present a global approach to these approximations using the theory of gamma-convergence and of special functions of bounded variation. The book is directed to PhD students and researchers in calculus of variations, interested in approximation problems with possible applications.

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Über die Autorin bzw. den Autor

Roberto Alicandro is professor of Mathematical Analysis at Università di Cassino e del Lazio meridionale. He is an expert in the Calculus of Variations and Homogenization and his results have applications in different fields, including atomistic-to-continuum limits for nonlinear models in material science, phase transition problems, topological singularities and defects in materials. He is the author of a monograph on Discrete Variational Problems with Andrea Braides and other co-authors. Nadia Ansini is professor of Mathematical Analysis atthe Department of Mathematics, Sapienza University of Rome. She is an expert in the Calculus of Variations, Homogenization and Multiple-scale models in mathematical materials science with subjects ranging from perforated domains, thin films, phase transitions, and variational evolution problems. She was awarded with two Marie Sklodowska-Curie Fellowships in 2000 and 2012. She is Lise Meitner visiting professor at Lund University (Sweden, 2022-2025).Andrea Braides is professor of Mathematical Analysis at SISSA, Trieste, on leave from the University of Rome Tor Vergata. He is an expert in the Calculus of Variations andHomogenization. He is the author of several monographs in the fields of Gamma-convergence and Discrete Variational Problems. He was an invited speaker at the 2014 International Congress of Mathematicians in Seoul in the section Mathematics in Science and Technology. Andrey Piatnitsky is an expert in the Calculus of Variations and in Partial Differential Equations, specializing in the homogenization of both deterministic and stochastic energies and operators, and singularly perturbed operators. He has been the invited speaker to major international conferences on these subjects. He and his co-authors produced a monograph on Homogenization.Antonio Tribuzio is a research fellow at the Institute for AppliedMathematics, Heidelberg University. His field of expertise is the Calculus of Variations. He worked, among others, on the relation between De Giorgi's Minimizing Movements and Gamma-convergence, discrete evolutions and scaling behaviour of energies related to Shape-Memory Alloys.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2008
• Sprache: Englisch
• ISBN 10: 3540647716
• ISBN 13: 9783540647713
• Einband: Taschenbuch
• Anzahl der Seiten: 168
• Kontakt zum Hersteller: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Deutschland