Physics – Mathematical Physics
Scientific paper
2011-02-07
in print on: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS SERIES S Volume 4, Number 2, April 2011
Physics
Mathematical Physics
39 pages
Scientific paper
10.3934/dcdss.2011.4.247
The long-time behavior of the solutions for a non-isothermal model in superfluidity is investigated. The model describes the transition between the normal and the superfluid phase in liquid 4He by means of a non-linear differential system, where the concentration of the superfluid phase satisfies a non-isothermal Ginzburg-Landau equation. This system, which turns out to be consistent with thermodynamical principles and whose well-posedness has been recently proved, has been shown to admit a Lyapunov functional. This allows to prove existence of the global attractor which consists of the unstable manifold of the stationary solutions. Finally, by exploiting recent techniques of semigroups theory, we prove the existence of an exponential attractor of finite fractal dimension which contains the global attractor.
Berti Alessia
Berti Valeria
Bochicchio Ivana
No associations
LandOfFree
Global and exponential attractors for a Ginzburg-Landau model of superfluidity 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 Global and exponential attractors for a Ginzburg-Landau model of superfluidity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Global and exponential attractors for a Ginzburg-Landau model of superfluidity will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-680991