convergence to equilibria for a three-dimensional conserved phase-field system with memory

convergence to equilibria for a three-dimensional conserved phase-field system with memory

;Gianluca Mola
icsoft 2006 - 1st international conference on software and data technologies, proceedings 2008 Vol. 2008 pp. 1-16
88
mola2008electronicconvergence

Abstract

We consider a conserved phase-field system with thermal memory on a tridimensional bounded domain. Assuming that the nonlinearity is real analytic, we use a Lojasiewicz-Simon type inequality to study the convergence to steady states of single trajectories. We also give an estimate of the convergence rate.

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