We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Static, Quasistatic and Dynamic Analysis for Scaled Perona-Malik Functionals.
- Authors
Braides, Andrea; Vallocchia, Valerio
- Abstract
We present an asymptotic description of local minimization problems, and of quasistatic and dynamic evolutions of discrete one-dimensional scaled Perona-Malik functionals. The scaling is chosen in such a way that these energies Γ<inline-graphic></inline-graphic>-converge to the Mumford-Shah functional by a result by Morini and Negri. This continuum approximation still provides a good description of quasistatic and gradient-flow type evolutions, while it must be suitably corrected to maintain the pattern of local minima and to account for long-time evolution.
- Subjects
FUNCTIONALS; QUASISTATIC processes; FUNCTION spaces; VARIATIONAL approach (Mathematics); FRACTURE mechanics
- Publication
Acta Applicandae Mathematicae, 2018, Vol 156, Issue 1, p79
- ISSN
0167-8019
- Publication type
Article
- DOI
10.1007/s10440-018-0155-4