Add to ORKGIn this note we summarize the main findings of some recent works [4, 9] for a class of Allen-Cahn equation with dynamic boundary conditions and affine linear transmission conditions, and their approximation by Robin boundary conditions
The generalized Allen-Cahn equation, \[ u_t=\varepsilon^2(D(u)u_x)_x-\frac{\varepsilon^2}2D'(u)u...
We consider a coupled bulk--surface Allen--Cahn system affixed with a Robin-type boundary condition ...
We consider a model of nonisothermal phase transitions taking place in a bounded spatial region. The...
In this note, we report a new class of dynamic boundary conditions for the Cahn-Hilliard equation in...
This note mainly presents a review of recent works [3, 4] on a variant of the Allen-Cahn equation wi...
In this paper we formulate a boundary layer approximation for an Allen-Cahn-type equation involving ...
The well-posedness of a system of partial differential equations with dynamic boundary conditions is...
The Cahn--Hilliard and viscous Cahn--Hilliard equations with singular and possibly nonsmooth potenti...
We prove the existence of unique weak solutions to an extension of a Cahn-Hilliard model proposed re...
We study a coupled bulk–surface Allen–Cahn system with an affine linear transmission condition, that...
The Allen–Cahn equation, coupled with dynamic boundary conditions, has recently received a good deal...
This paper is concerned with well-posedness of the Cahn-Hilliard equation subject to a class of new ...
In this paper, we consider a class of coupled systems of PDEs, denoted by (ACE)ε for ε≥0. For each ε...
A boundary control problem for the pure Cahn–Hilliard equations with possibly singular potentialsand...
In this talk, we shall discuss energy-dissipation phenomena and smoothing effect of solutions for an...
The generalized Allen-Cahn equation, \[ u_t=\varepsilon^2(D(u)u_x)_x-\frac{\varepsilon^2}2D'(u)u...
We consider a coupled bulk--surface Allen--Cahn system affixed with a Robin-type boundary condition ...
We consider a model of nonisothermal phase transitions taking place in a bounded spatial region. The...
In this note, we report a new class of dynamic boundary conditions for the Cahn-Hilliard equation in...
This note mainly presents a review of recent works [3, 4] on a variant of the Allen-Cahn equation wi...
In this paper we formulate a boundary layer approximation for an Allen-Cahn-type equation involving ...
The well-posedness of a system of partial differential equations with dynamic boundary conditions is...
The Cahn--Hilliard and viscous Cahn--Hilliard equations with singular and possibly nonsmooth potenti...
We prove the existence of unique weak solutions to an extension of a Cahn-Hilliard model proposed re...
We study a coupled bulk–surface Allen–Cahn system with an affine linear transmission condition, that...
The Allen–Cahn equation, coupled with dynamic boundary conditions, has recently received a good deal...
This paper is concerned with well-posedness of the Cahn-Hilliard equation subject to a class of new ...
In this paper, we consider a class of coupled systems of PDEs, denoted by (ACE)ε for ε≥0. For each ε...
A boundary control problem for the pure Cahn–Hilliard equations with possibly singular potentialsand...
In this talk, we shall discuss energy-dissipation phenomena and smoothing effect of solutions for an...
The generalized Allen-Cahn equation, \[ u_t=\varepsilon^2(D(u)u_x)_x-\frac{\varepsilon^2}2D'(u)u...
We consider a coupled bulk--surface Allen--Cahn system affixed with a Robin-type boundary condition ...
We consider a model of nonisothermal phase transitions taking place in a bounded spatial region. The...