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math.AP2025
Well-Posedness of the Cauchy Problem for One-Dimensional Nonlinear Diffusion Equations with Dynamic and Fourth-Type Boundary Conditions in the Lp Lq Maximal Regularity Setting
Ken Furukawa
This paper addresses the local well-posedness of the Cauchy problem for a one-dimensional diffusion equation equipped with a dynamic boundary condition and an additional boundary c…
math.AP2024
Modeling and Mathematical Analysis of the Clogging Phenomenon in Filtration Filters Installed in Aquaria
Ken Furukawa, Hiroyuki Kitahata
This paper proposes a mathematical model for replicating a simple dynamics in an aquarium with two components; bacteria and organic matter. The model is based on a system of partia…