TY - JOUR
T1 - Exponential attractors and inertial manifolds for singular perturbations of the Cahn-Hilliard equations
AU - Zheng, Songmu
AU - Milani, Albert
PY - 2004/5/1
Y1 - 2004/5/1
N2 - We consider the singular perturbations of two boundary value problems, concerning, respectively, the viscous and the nonviscous Cahn-Hilliard equations in one dimension of space. We show that the dynamical systems generated by these two problems admit exponential attractors and inertial manifolds in the phase space H0 1(0,π)×H-1(0,π).
AB - We consider the singular perturbations of two boundary value problems, concerning, respectively, the viscous and the nonviscous Cahn-Hilliard equations in one dimension of space. We show that the dynamical systems generated by these two problems admit exponential attractors and inertial manifolds in the phase space H0 1(0,π)×H-1(0,π).
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U2 - 10.1016/j.na.2004.03.023
DO - 10.1016/j.na.2004.03.023
M3 - Article
AN - SCOPUS:2542500465
VL - 57
SP - 843
EP - 877
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
SN - 0362-546X
IS - 5-6
ER -