PDE seminar Asymptotic behavior of the Cahn-Hilliard equation coupled to the elasticity system

Date
2010-7-12 16:30 - 2010-7-12 17:30
Place
Faculty of Science Building #3 Room 202
Speaker/Organizer
Piotr Rybka (Uniwersytet Warszawski, Poland)
 
We study a system of Cahn-Hilliard equation coupled to the elasticity
system. The coupling is through the elasticity tensor. We show existence
of unique global in time solutions in the energy space. Subsequently we
show stabilization of solutions provided that the coupling mentioned above
is analytic. We use methods based on Lojasiewicz inequality.
This is a joint work with Genevieve Raugel.