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

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.