Asymptotic Behavior of Ginzburg-Landau Equations of Superfluidity

Alessia Berti, Valeria Berti, Ivana Bochicchio


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 He 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


Superfluids, Ginzburg-Landau equations, Global attractor

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