RT Journal Article
T1 On the Cahn-Hilliard equation in H-1(R-N)
A1 Cholewa, Jan W.
A1 Rodríguez Bernal, Aníbal
AB In this paper we exhibit the dissipative mechanism of the Cahn-Hilliard equation in H-1 (R-N). We show a weak form of dissipativity by showing that each individual solution is attracted, in some sense, by the set of equilibria. We also indicate that strong dissipativity, that is, asymptotic compactness in H-1 (R-N), cannot be in general expected. Then we consider two types of perturbations: a nonlinear perturbation and a small linear perturbation. In both cases we show that, for the resulting equations, the dissipative mechanism becomes strong enough to obtain the existence of a compact global attractor.
PB Elsevier
SN 0022-0396
YR 2012
FD 2012-12
LK https://hdl.handle.net/20.500.14352/42439
UL https://hdl.handle.net/20.500.14352/42439
LA eng
NO MEC
NO UCM
DS Docta Complutense
RD 9 abr 2025