most citedWhat is the physical origin of the gradient flow structure of variational fracture models?

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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…