9 Aprile, 2003 16:15
Sezione di Calcolo delle Variazioni ed Equazioni Differenziali
Attractors for Cahn-Hilliard equations with singular potentials
Alain Miranville, Universite de Poitiers
aula Seminari MOX, VI piano
Abstract
Our aim is to prove the existence of finite dimensional attractors
for a family of singularly perturbed Cahn-Hilliard equations with singular
potentials (e.g., logarithmic potentials). In particular, by constructing a
continuous family of exponential attractors, we are able to prove this result without any
assumption on the size of the spatial domain as it was the case in previous
results.