Slow dynamics for the hyperbolic Cahn‐Hilliard equation in one‐space dimension
Sign Up to like & getrecommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.5525
Abstract: The aim of this paper is to study the metastable properties of the solutions to a hyperbolic relaxation of the classic Cahn-Hilliard equation in one space dimension, subject to either Neumann or Dirichlet boundary conditions.… read more here.
Keywords: space dimension; equation one; one space; hilliard equation ... See more keywords
Sharp limit of the viscous Cahn–Hilliard equation and thermodynamic consistency
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DOI: 10.1007/s00161-015-0434-5
Abstract: Diffuse and sharp interface models represent two alternatives to describe phase transitions with an interface between two coexisting phases. The two model classes can be independently formulated. Thus there arises the problem whether the sharp… read more here.
Keywords: diffuse; viscous cahn; model; sharp limit ... See more keywords
An error estimate for a finite-volume scheme for the Cahn-Hilliard equation with dynamic boundary conditions
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DOI: 10.1007/s00211-021-01230-7
Abstract: In the paper we consider a finite-volume approximation for the Cahn-Hilliard equation with dynamic boundary conditions. We prove an error estimate for the fully-discrete scheme. We also give numerical simulations which validate the theoretical result. read more here.
Keywords: boundary conditions; finite volume; dynamic boundary; equation dynamic ... See more keywords
Weak Solutions to the Cahn-Hilliard Equation with Degenerate Diffusion Mobility in ℝN
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DOI: 10.1007/s10114-019-8318-4
Abstract: This paper is concerned with a popular form of Cahn-Hilliard equation which plays an important role in understanding the evolution of phase separation. We get the existence and regularity of a weak solution to nonlinear… read more here.
Keywords: hilliard equation; cahn hilliard; equation degenerate; mobility ... See more keywords
Coupled diffusion and phase transition: Phase fields, constraints, and the Cahn–Hilliard equation
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DOI: 10.1007/s11012-021-01338-y
Abstract: We develop a constrained theory for constituent migration in bodies with microstructure described by a scalar phase field. The distinguishing features of the theory stem from a systematic treatment and characterization of the reactions needed… read more here.
Keywords: cahn hilliard; hilliard equation; diffusion; phase field ... See more keywords
A fast immersed interface method for the Cahn–Hilliard equation with arbitrary boundary conditions in complex domains
Sign Up to like & getrecommendations! Published in 2017 at "Computational Materials Science"
DOI: 10.1016/j.commatsci.2017.08.025
Abstract: Abstract A fast immersed boundary method for the Cahn–Hilliard equation is introduced. The decomposition of the fourth-order non-linear Cahn–Hilliard equation into a system of linear parabolic second-order equations allows to pose arbitrary Neumann or surface… read more here.
Keywords: fast immersed; method cahn; hilliard equation; cahn hilliard ... See more keywords
Absolute continuity and numerical approximation of stochastic Cahn–Hilliard equation with unbounded noise diffusion
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2020.07.007
Abstract: Abstract In this article, we consider the absolute continuity and numerical approximation of the solution of the stochastic Cahn–Hilliard equation with unbounded noise diffusion. We first obtain the Holder continuity and Malliavin differentiability of the… read more here.
Keywords: cahn hilliard; approximation; hilliard equation; stochastic cahn ... See more keywords