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 …
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 …
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 …
A Miranville - Journal of Mathematical Analysis and Applications, 2013 - Elsevier
On the conserved phase-field model - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Search RegisterSign in View PDF Download full issue Search …
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 …
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 …
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 …