Abstract
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).
| Original language | English |
|---|---|
| Pages (from-to) | 843-877 |
| Number of pages | 35 |
| Journal | Nonlinear Analysis, Theory, Methods and Applications |
| Volume | 57 |
| Issue number | 5-6 |
| DOIs | |
| Publication status | Published - May 1 2004 |
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All Science Journal Classification (ASJC) codes
- Analysis
- Applied Mathematics
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Exponential attractors and inertial manifolds for singular perturbations of the Cahn-Hilliard equations. / Zheng, Songmu; Milani, Albert.
In: Nonlinear Analysis, Theory, Methods and Applications, Vol. 57, No. 5-6, 01.05.2004, p. 843-877.Research output: Contribution to journal › Article
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).
UR - http://www.scopus.com/inward/record.url?scp=2542500465&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=2542500465&partnerID=8YFLogxK
U2 - 10.1016/j.na.2004.03.023
DO - 10.1016/j.na.2004.03.023
M3 - Article
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 -