3 papers
math.AP2026
Segmentation of monotone data by Kobayashi-Warren-Carter type total variation energies
Yoshikazu Giga, Ayato Kubo, Hirotoshi Kuroda +1
We consider a Kobayashi-Warren-Carter (KWC) type total variation energy with a fidelity term. Since the energy is non-convex, the profiles of minimizers are quite different from th…
math.AP2024
On segmentation by total variation type energies of Kobayashi-Warren-Carter type with fidelity
Yoshikazu Giga, Ayato Kubo, Hirotoshi Kuroda +2
We consider a total variation type energy which measures the jump discontinuities different from usual total variation energy. Such a type of energy is obtained as a singular limit…
math.AP2023
Fractional time differential equations as a singular limit of the Kobayashi-Warren-Carter system
Yoshikazu Giga, Ayato Kubo, Hirotoshi Kuroda +3
This paper is concerned with a singular limit of the Kobayashi-Warren-Carter system, a phase field system modelling the evolutions of structures of grains. Under a suitable scaling…