Geodesic
Convergence to equilibria for a three-dimensional conserved phase-field system with memory
Electronic Journal of Differential Equations, Tome 2008 (2008).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 35B40, 35B41, 80A22
Keywords: conserved phase-field models, memory effects, lojasiewicz-Simon inequality, steady states, global attractor 
@article{EJDE_2008__2008__a14,
     author = {Mola, Gianluca},
     title = {Convergence to equilibria for a three-dimensional conserved phase-field system with memory},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2008},
     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a14/}
}
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Mola, Gianluca. Convergence to equilibria for a three-dimensional conserved phase-field system with memory. Electronic Journal of Differential Equations, Tome 2008 (2008). http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a14/