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, proceedings2008Vol. 2008pp. 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.