Attractors for dissipative partial differential equations in bounded and unbounded domains
A Miranville, S Zelik - Handbook of differential equations: evolutionary …, 2008 - Elsevier
Publisher Summary The study of the asymptotic behavior of dynamical systems arising from
mechanics and physics is a capital issue because it is essential for practical applications to …
mechanics and physics is a capital issue because it is essential for practical applications to …
Recent developments in dynamical systems: three perspectives
F Balibrea, T Caraballo, PE Kloeden… - International Journal of …, 2010 - World Scientific
RECENT DEVELOPMENTS IN DYNAMICAL SYSTEMS: THREE PERSPECTIVES | International
Journal of Bifurcation and Chaos World Scientific Search This Journal Anywhere Quick …
Journal of Bifurcation and Chaos World Scientific Search This Journal Anywhere Quick …
A robust and efficient fingerprint image restoration method based on a phase-field model
In this study, we present a robust and efficient fingerprint image restoration algorithm using
the nonlocal Cahn–Hilliard (CH) equation, which was proposed for modeling the …
the nonlocal Cahn–Hilliard (CH) equation, which was proposed for modeling the …
On the 2D Cahn–Hilliard equation with inertial term
Galenko et al. proposed a modified Cahn–Hilliard equation to model rapid spinodal
decomposition in non-equilibrium phase separation processes. This equation contains an …
decomposition in non-equilibrium phase separation processes. This equation contains an …
Kinetic contribution to the fast spinodal decomposition controlled by diffusion
P Galenko, D Jou - Physica A: Statistical Mechanics and its Applications, 2009 - Elsevier
Analysis of a model for fast spinodal decomposition controlled by diffusion is proposed.
Using the concept of fast phase separation, an interpretation of a purely non-equilibrium …
Using the concept of fast phase separation, an interpretation of a purely non-equilibrium …
On the 3D Cahn–Hilliard equation with inertial term
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 …
account for rapid spinodal decomposition in certain glasses. This equation contains, as …
Asymptotic behavior of a nonisothermal viscous Cahn–Hilliard equation with inertial term
M Grasselli, H Petzeltová, G Schimperna - Journal of Differential Equations, 2007 - Elsevier
We consider a differential model describing nonisothermal fast phase separation processes
taking place in a three-dimensional bounded domain. This model consists of a viscous Cahn …
taking place in a three-dimensional bounded domain. This model consists of a viscous Cahn …
Trajectory and smooth attractors for Cahn–Hilliard equations with inertial term
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 …
some physicists. This modification is obtained by adding the second time derivative of the …
Coarse graining for the phase-field model of fast phase transitions
D Jou, PK Galenko - Physical Review E—Statistical, Nonlinear, and Soft …, 2013 - APS
Fast phase transitions under lack of local thermalization between successive elementary
steps of the physical process are treated analytically. Non-Markovian master equations are …
steps of the physical process are treated analytically. Non-Markovian master equations are …
Invariant sample measures and sample statistical solutions for nonautonomous stochastic lattice Cahn-Hilliard equation with nonlinear noise
J Wang, D Zhu, C Li - arXiv preprint arXiv:2404.14798, 2024 - arxiv.org
We consider a stochastic lattice Cahn-Hilliard equation with nonautonomous nonlinear
noise. First, we prove the existence of pullback random attractors in $\ell^ 2$ for the …
noise. First, we prove the existence of pullback random attractors in $\ell^ 2$ for the …