We consider the evolution by crystalline curvature of a planar set in a stratified medium, modeled by a periodic forcing term. We characterize the limit evolution law as the period of the oscillations tends to zero. Even if the model is very simple, the limit evolution problem is quite rich, and we discuss some properties such as uniqueness, comparison principle and pinning/depinning phenomena.
Crystalline evolutions with rapidly oscillating forcing terms / Braides, Andrea; Malusa, Annalisa; Novaga, Matteo. - In: ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA. CLASSE DI SCIENZE. - ISSN 0391-173X. - STAMPA. - 20:(2020), pp. 143-175. [10.2422/2036-2145.201707_011]
Crystalline evolutions with rapidly oscillating forcing terms
Malusa, Annalisa;
2020
Abstract
We consider the evolution by crystalline curvature of a planar set in a stratified medium, modeled by a periodic forcing term. We characterize the limit evolution law as the period of the oscillations tends to zero. Even if the model is very simple, the limit evolution problem is quite rich, and we discuss some properties such as uniqueness, comparison principle and pinning/depinning phenomena.| File | Dimensione | Formato | |
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