15 citations · 16 across the 3 of their papers we have counts for
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math.AP2025
Mass conservation and gelation for the Smoluchowski coagulation equation: a generalized moment approach
Masato Kimura, Hisanori Miyata
The Smoluchowski coagulation equation (SCE) is a population balance model that describes the time evolution of cluster size distributions resulting from particle aggregation. Altho…
math.AP2023★ 1 cited
What is the physical origin of the gradient flow structure of variational fracture models?
Masato Kimura, Takeshi Takaishi, Yoshimi Tanaka
We investigate a physical characterization of the gradient flow structure of variational fracture models for brittle materials: a Griffith-type fracture model and an irreversible f…
math.AP2021★ 15 cited
Phase field models for thermal fracturing and their variational structures
S. Alfat, M. Kimura, Alifian. M. M
It is often observed that thermal stress enhances crack propagation in materials, and conversely, crack propagation can contribute to temperature shifts in materials. In this study…