Physics – Mathematical Physics
Scientific paper
2011-03-08
Physics
Mathematical Physics
Scientific paper
The main objectives of this article are two-fold. First, we study the effect of the nonlinear Onsager mobility on the phase transition and on the well-posedness of the Cahn-Hilliard equation modeling a binary system. It is shown in particular that the dynamic transition is essentially independent of the nonlinearity of the Onsager mobility. However, the nonlinearity of the mobility does cause substantial technical difficulty for the well-posedness and for carrying out the dynamic transition analysis. For this reason, as a second objective, we introduce a systematic approach to deal with phase transition problems modeled by quasilinear partial differential equation, following the ideas of the dynamic transition theory developed recently by Ma and Wang.
Liu Honghu
Şengül Taylan
Wang Shouhong
No associations
LandOfFree
Dynamic Transitions for Quasilinear Systems and Cahn-Hilliard equation with Onsager mobility does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Dynamic Transitions for Quasilinear Systems and Cahn-Hilliard equation with Onsager mobility, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dynamic Transitions for Quasilinear Systems and Cahn-Hilliard equation with Onsager mobility will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-642675