36 citations · 125 across the 20 of their papers we have counts for
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math.AP2015★ 1 cited
Nonlinear diffusion equations as asymptotic limits of Cahn-Hilliard systems
Pierluigi Colli, Takeshi Fukao
An asymptotic limit of a class of Cahn-Hilliard systems is investigated to obtain a general nonlinear diffusion equation. The target diffusion equation may reproduce a number of we…
math.AP2015★ 1 cited
Convergence of Cahn-Hilliard systems to the Stefan problem with dynamic boundary conditions
Takeshi Fukao
This paper examines the well-posedness of the Stefan problem with a dynamic boundary condition. To show the existence of the weak solution, the original problem is approximated by…
math.AP2015★ 5 cited
Equation and dynamic boundary condition of Cahn-Hilliard type with singular potentials
Pierluigi Colli, Takeshi Fukao
The well-posedness of a system of partial differential equations and dynamic boundary conditions, both of Cahn-Hilliard type, is discussed. The existence of a weak solution and its…