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math.AP2017
Weak formulation for singular diffusion equation with dynamic boundary condition
Ryota Nakayashiki, Ken Shirakawa
In this paper, we propose a weak formulation of the singular diffusion equation subject to the dynamic boundary condition. The weak formulation is based on a reformulation method b…
math.AP2017★ 11 cited
Energy dissipative solutions to the Kobayashi-Warren-Carter system
Salvador Moll, Ken Shirakawa, Hiroshi Watanabe
In this paper we study a variational system of two parabolic PDEs, called the Kobayashi-Warren-Carter system, which models the grain boundary motion in a polycrystal. The focus of…