On the Approximation of Free Discontinuity Problems
Author | : Luigi Ambrosio |
Publisher | : |
Total Pages | : 14 |
Release | : 1990 |
Genre | : |
ISBN | : |
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Author | : Luigi Ambrosio |
Publisher | : |
Total Pages | : 14 |
Release | : 1990 |
Genre | : |
ISBN | : |
Author | : Nicola Fusco |
Publisher | : Springer |
Total Pages | : 237 |
Release | : 2017-02-02 |
Genre | : Mathematics |
ISBN | : 8876425934 |
This book presents a series of lectures on three of the best known examples of free discontinuity problems: the Mumford-Shah model for image segmentation, a variational model for the epitaxial growth of thin films, and the sharp interface limit of the Ohta-Kawasaki model for pattern formation in dyblock copolymers.
Author | : Andrea Braides |
Publisher | : |
Total Pages | : 148 |
Release | : 1998 |
Genre | : |
ISBN | : |
Author | : Andrea Braides |
Publisher | : Springer |
Total Pages | : 160 |
Release | : 2006-11-13 |
Genre | : Mathematics |
ISBN | : 3540687149 |
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.
Author | : Enrico Babilio |
Publisher | : |
Total Pages | : 105 |
Release | : 2004 |
Genre | : |
ISBN | : |
Author | : Matteo Focardi |
Publisher | : |
Total Pages | : 22 |
Release | : 1999 |
Genre | : |
ISBN | : |
Author | : Matteo Focardi |
Publisher | : |
Total Pages | : 22 |
Release | : 1999 |
Genre | : |
ISBN | : |
Author | : Andrea Braides |
Publisher | : |
Total Pages | : 51 |
Release | : 1995 |
Genre | : |
ISBN | : |
Author | : Pierluigi Colli |
Publisher | : Birkhäuser |
Total Pages | : 342 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3034878931 |
Many phenomena of interest for applications are represented by differential equations which are defined in a domain whose boundary is a priori unknown, and is accordingly named a "free boundary". A further quantitative condition is then provided in order to exclude indeterminacy. Free boundary problems thus encompass a broad spectrum which is represented in this state-of-the-art volume by a variety of contributions of researchers in mathematics and applied fields like physics, biology and material sciences. Special emphasis has been reserved for mathematical modelling and for the formulation of new problems.
Author | : Emilio Acerbi |
Publisher | : |
Total Pages | : 14 |
Release | : 1998 |
Genre | : |
ISBN | : |