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math.AP2018★ 17 cited
On a coupled bulk-surface Allen-Cahn system with an affine linear transmission condition and its approximation by a Robin boundary condition
Pierluigi Colli, Takeshi Fukao, Kei Fong Lam
We study a coupled bulk-surface Allen-Cahn system with an affine linear transmission condition, that is, the trace values of the bulk variable and the values of the surface variabl…
math.AP2018
Cahn-Hilliard equation on the boundary with bulk condition of Allen-Cahn type
Pierluigi Colli, Takeshi Fukao
The well-posedness for a system of partial differential equations and dynamic boundary conditions is discussed. This system is a sort of transmission problem between the dynamics i…
math.AP2018
Nonlinear diffusion equations with Robin boundary conditions as asymptotic limits of Cahn-Hilliard systems
Taishi Motoda, Takeshi Fukao
Condition imposed on the nonlinear terms of a nonlinear diffusion equation with {R}obin boundary condition is the main focus of this paper. The degenerate parabolic equations, such…