Asymptotic Behavior of Ginzburg-Landau Equations of Superfluidity
Abstract
The asymptotic behavior of the solutions for a non-isothermal model in superfluidity is studied. 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. Starting from an existence and uniqueness result known for this problem, the system is proved to admit a Lyapunov functional. This allows to obtain existence of the global attractor
which consists of the unstable manifold of the stationary solutions.
[DOI: 10.1685/CSC09200] About DOI
of the superfluid phase satisfies a non-isothermal Ginzburg-Landau equation. Starting from an existence and uniqueness result known for this problem, the system is proved to admit a Lyapunov functional. This allows to obtain existence of the global attractor
which consists of the unstable manifold of the stationary solutions.
[DOI: 10.1685/CSC09200] About DOI
Keywords
Superfluids, Ginzburg-Landau equations, Global attractor
Full Text:
[DOI: 10.1685/] About DOI
Url Resolver: : http://dx.doi.org/10.1685/
Except where otherwise noted, content on this site is licensed under a Creative Commons 2.5 Italy License