Geodesic
Convergence to equilibria for a three-dimensional conserved phase-field system with memory
Electronic journal of differential equations, Tome 2008 (2008)
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},
     year = {2008},
     volume = {2008},
     zbl = {1137.35314},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a14/}
}
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%0 Journal Article
%A Mola,  Gianluca
%T Convergence to equilibria for a three-dimensional conserved phase-field system with memory
%J Electronic journal of differential equations
%D 2008
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%F EJDE_2008__2008__a14
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/