Galenko et al. proposed a modified Cahn–Hilliard equation to model rapid spinodal
decomposition in non-equilibrium phase separation processes. This equation contains an …

GLOBAL SMOOTH SOLUTIONS OF THE THREE-DIMENSIONAL MODIFIED PHASE FIELD
CRYSTAL EQUATION∗ 1. Introduction. The Phase Field Cryst Page 1 METHODS AND …

The aim of the article is to present a unified approach to the existence, uniqueness and
regularity of solutions to problems belonging to a class of second order in time semilinear …

We study the modified Cahn–Hilliard equation proposed by Galenko et al. in order to
account for rapid spinodal decomposition in certain glasses. This equation contains, as …

We study generalized viscous Cahn–Hilliard problems with nonlinearities satisfying critical
growth conditions in W01, p (Ω), where Ω is a bounded smooth domain in Rn, n⩾ 3. In the …

This paper is devoted to a modification of the classical Cahn–Hilliard equation proposed by
some physicists. This modification is obtained by adding the second time derivative of the …

Solvability of Cauchyʼs problem in RN for an extended viscous Cahn–Hilliard equation is
studied. The problem is considered first in a standard Sobolev space H1 (RN), next a notion …

We consider a non-isothermal modified Cahn--Hilliard equation which was previously
analyzed by M. Grasselli et al. Such an equation is characterized by an inertial term and a …

We consider a modified Cahn–Hiliard equation where the velocity of the order parameter u
depends on the past history of Δμ, μ being the chemical potential with an additional viscous …

This paper is concerned with the initial-boundary value problem for the hyperbolic relaxation
of the Cahn-Hilliard/Allen-Cahn equation with a proliferation term, in an arbitrary two …