The cahn–hilliard equation

A Novick-Cohen - Handbook of differential equations: evolutionary …, 2008 - Elsevier
Publisher Summary This chapter focuses on the Cahn–Hilliard equation. In the context of the
Cahn–Hilliard equation, the two components could refer, for example, to a system with two …

The viscous Cahn-Hilliard equation: Morse decomposition and structure of the global attractor

M Grinfeld, A Novick-Cohen - Transactions of the American Mathematical …, 1999 - ams.org
In this paper we establish a Morse decomposition of the stationary solutions of the one-
dimensional viscous Cahn-Hilliard equation by explicit energy calculations. Strong non …

[图书][B] Stabilization, optimal and robust control: Theory and Applications in Biological and Physical Sciences

A Belmiloudi - 2008 - books.google.com
Systems governed by nonlinear partial differential equations (PDEs) arise in many spheres
of study. The stabilization and control of such systems, which are the focus of this book, are …

Universal attractor for some singular phase transition systems

E Rocca, G Schimperna - Physica D: Nonlinear Phenomena, 2004 - Elsevier
A singular parabolic system describing the thermal diffusion in a substance possibly subject
to a phase transition is introduced. The physical process is described by the variables ϑ …

[HTML][HTML] On the conserved phase-field model

A Miranville - Journal of Mathematical Analysis and Applications, 2013 - Elsevier
On the conserved phase-field model - ScienceDirect Skip to main contentSkip to article Elsevier
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[PDF][PDF] Robust exponential attractors for singularly perturbed phase-field type equations.

A Miranville, S Zelik - Electronic Journal of Differential Equations (EJDE) …, 2002 - eudml.org
In this article, we construct robust (ie lower and upper semicontinuous) exponential
attractors for singularly perturbed phase-field type equations. Moreover, we obtain estimates …

Optimal control for a conserved phase field system with a possibly singular potential

P Colli, G Gilardi, G Marinoschi, E Rocca - arXiv preprint arXiv:1709.02269, 2017 - arxiv.org
In this paper we study a distributed control problem for a phase-field system of conserved
type with a possibly singular potential. We mainly handle two cases: the case of a viscous …

Asymptotic behavior of solutions of a conserved phase-field system with memory

S Aizicovici, H Petzeltová - The Journal of Integral Equations and …, 2003 - JSTOR
ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF A CONSERVED PHASE-FIELD SYSTEM WITH
MEMORY Page 1 JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS Volume 15 …

[PDF][PDF] Uniqueness and long {time behavior for the conserved phase {eld system with memory

P Colli, G Gilardi, A Novick-Cohen - 1999 - researchgate.net
This paper is concerned with a conserved phase {eld model with memory. We include
memory by replacing the standard Fourier heat law with a constitutive assumption of Gurtin …

[TXT][TXT] conserved phase-field system with memory

G Mola - 2001 - emis.de
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Journal of Differential Equations}, Vol. 2008(2008), No. 23, pp. 1--16.\newline ISSN: 1072-6691 …