Asymptotic Behavior of Ginzburg-Landau Equations of Superfluidity

Authors

  • Alessia Berti Dipartimento di Matematica, Università di Brescia
  • Valeria Berti Dipartimento di Matematica, Università di Bologna
  • Ivana Bochicchio Dipartimento di Matematica e Informatica, Università di Salerno

DOI:

https://doi.org/10.1685/

Keywords:

Superfluids, Ginzburg-Landau equations, Global attractor

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 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

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Published

2009-08-12

Issue

Vol. 3 (2009)

Section

Articles

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