We consider the one-dimensional Cahn–Hilliard equation with an inertial term depending on a positive inertial coefficient epsilon. This equation, endowed with proper boundary conditions, generates a strongly continuous semigroup which acts on a suitable phase-space and possesses a global attractor. Our main result is the construction of a robust (w.r.t. epsilon) family of exponential attractors whose common basins of attraction coincide whole phase-space.
On the hyperbolic relaxation of the one-dimensional Cahn-Hilliard equation
GRASSELLI, MAURIZIO;PATA, VITTORINO
2005-01-01
Abstract
We consider the one-dimensional Cahn–Hilliard equation with an inertial term depending on a positive inertial coefficient epsilon. This equation, endowed with proper boundary conditions, generates a strongly continuous semigroup which acts on a suitable phase-space and possesses a global attractor. Our main result is the construction of a robust (w.r.t. epsilon) family of exponential attractors whose common basins of attraction coincide whole phase-space.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
GGMP-JMAA.pdf
Accesso riservato
:
Post-Print (DRAFT o Author’s Accepted Manuscript-AAM)
Dimensione
167.49 kB
Formato
Adobe PDF
|
167.49 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
