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).
|Number of pages||35|
|Journal||Nonlinear Analysis, Theory, Methods and Applications|
|Publication status||Published - May 1 2004|
All Science Journal Classification (ASJC) codes
- Applied Mathematics