5 citations · 10 across the 7 of their papers we have counts for
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Permeability parameter asymptotics in a Cahn--Hilliard system with third type transmission conditions
Pierluigi Colli, Takeshi Fukao, Kei Fong Lam
In this paper, we study a system in which the Cahn--Hilliard system is imposed in the bulk domain and an Allen--Cahn type equation is prescribed on the boundary, connected through…
Asymptotic analysis of the Allen-Cahn equation with dynamic boundary conditions of Cahn-Hilliard type
Pierluigi Colli, Takeshi Fukao
Problems for partial differential equations coupled with dynamic boundary conditions can be viewed as a type of transmission problem between the bulk and its boundary. For the heat…
The Cahn-Hilliard equation with forward-backward dynamic boundary condition via vanishing viscosity
Pierluigi Colli, Takeshi Fukao, Luca Scarpa
An asymptotic analysis for a system with equation and dynamic boundary condition of Cahn-Hilliard type is carried out as the coefficient of the surface diffusion acting on the phas…
On a perturbed fast diffusion equation with dynamic boundary conditions
Takeshi Fukao
This paper discusses finite time extinction for a perturbed fast diffusion equation with dynamic boundary conditions. The fast diffusion equation has the characteristic property of…
Vanishing diffusion in a dynamic boundary condition for the Cahn-Hilliard equation
Pierluigi Colli, Takeshi Fukao
The initial boundary value problem for a Cahn-Hilliard system subject to a dynamic boundary condition of Allen-Cahn type is treated. The vanishing of the surface diffusion on the d…
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…