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math.AP2020
Existence of minimizers for the SDRI model in 2d: wetting and dewetting regime with mismatch strain
Shokhrukh Yu. Kholmatov, Paolo Piovano
The model introduced in [Kholmatov-Piovano 2020] in the framework of the theory on Stress-Driven Rearrangement Instabilities (SDRI) [Asaro-Tiller 1972; Grinfeld 1993} for the morph…
math.AP2020★ 3 cited
Minimizing movements for forced anisotropic mean curvature flow of partitions with mobilities
Giovanni Bellettini, Antonin Chambolle, Shokhrukh Yu. Kholmatov
Under suitable assumptions on the family of anisotropies, we prove the existence of a weak global -Hölder continuous in time mean curvature flow with mobilities of a…