13 citations · 57 across the 26 of their papers we have counts for
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math.AP2020★ 3 cited
Space-time homogenization for nonlinear diffusion
Goro Akagi, Tomoyuki Oka
The present paper is concerned with a space-time homogenization problem for nonlinear diffusion equations with periodically oscillating (in space and time) coefficients. Main resul…
math.AP2020
Local well-posedness for Frémond's model of complete damage in elastic solids
Goro Akagi, Giulio Schimperna
We consider a model for the evolution of damage in elastic materials originally proposed by Michel Frémond. For the corresponding PDE system we prove existence and uniqueness of a…
math.AP2020
Traveling wave dynamics for Allen-Cahn equations with strong irreversibility
Goro Akagi, Christian Kuehn, Ken-Ichi Nakamura
Constrained gradient flows are studied in fracture mechanics to describe strongly irreversible (or unidirectional) evolution of cracks. The present paper is devoted to a study on t…