PUMA
Istituto di Matematica Applicata e Tecnologie Informatiche     
Colli P., Gilardi G., Laurencot P., Navick-Cohen A. Uniqueness and long-time behavior for the conserved phase-field system with memory. Preprint ercim.cnr.ian//1998-1084, 1998.
 
 
Abstract
(English)
This paper is concerned with a conserved phase-field model with memory. We include memory by replacing the standard Fourier heat law with a constitutive assumption of Gurtin-Pipkin type, and the system is conservative in the sense that the initial mass of the order parameter as well as the energy are preserved during the evolution. A Cauchy-Neumann problem is investigated for this model which couples a Volterra integrodifferential equation with fourth order dynamics for the phase field. A sharp uniqueness theorem is proven by demonstrating continuous dependence for a suitably weak formulation. With regard to the longtime behavior, the limit points of the trajectories are completely characterized.
Subject Phase-field problem with memory, longtime behavior



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