Hierarchy of consistent n-component Cahn-Hilliard systems
نویسندگان
چکیده
منابع مشابه
The existence of global attractor for a Cahn-Hilliard/Allen-Cahn equation
In this paper, we consider a Cahn-Hillard/Allen-Cahn equation. By using the semigroup and the classical existence theorem of global attractors, we give the existence of the global attractor in H^k(0
متن کاملN ov 2 01 5 Nonlinear diffusion equations as asymptotic limits of Cahn – Hilliard systems Pierluigi Colli Dipartimento di Matematica , Università di Pavia and IMATI C . N . R . Pavia
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 well-known model equations: Stefan problem, porous media equation, Hele-Shaw profile, nonlinear diffusion of singular logarithmic type, nonlinear diffusion of Penrose–Fife type, fast diffusion equation and so on. Namely...
متن کاملEfficient Energy Stable Schemes with Spectral Discretization in Space for Anisotropic Cahn–hilliard Systems
We develop in this paper efficient and robust numerical methods for solving anisotropic Cahn–Hilliard systems. We construct energy stable schemes for the time discretization of the highly nonlinear anisotropic Cahn-Hilliard systems by using a stabilization technique. At each time step, these schemes lead to a sequence of linear coupled elliptic equations with constant coefficients which can be ...
متن کاملCahn-hilliard Equations and Phase Transition Dynamics for Binary Systems
The process of phase separation of binary systems is described by the Cahn-Hilliard equation. The main objective of this article is to give a classification on the dynamic phase transitions for binary systems using either the classical Cahn-Hilliard equation or the Cahn-Hilliard equation coupled with entropy, leading to some interesting physical predictions. The analysis is based on dynamic tra...
متن کاملSpectral Analysis for Transition Front Solutions in Multidimensional Cahn-Hilliard Systems
We consider the spectrum associated with the linear operator obtained when a Cahn-Hilliard system on Rn is linearized about a planar transition front solution. In the case of single Cahn-Hilliard equations on Rn, it’s known that under general physical conditions the leading eigenvalue moves into the negative real half plane at a rate |ξ|3, where ξ is the Fourier transform variable corresponding...
متن کامل