Global Attractor of the Liquid Helium-4 System in H^k Space

Abstract:

In this paper, by using an iteration procedure, regularity estimates of the linear semi-groups and a generalized existence theorem of global attractor, we prove that the liquid helium-4 system possesses a global attractor in space for all , which attracts any bounded set of in the-norm.

• Periodical: Applied Mechanics and Materials (Volumes 444-445)
• Pages: 731-737
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.444-445.731
• Online since: October 2013
• Authors: Zhi Bo Hou, Li Mei Li
• Keywords: Global Attractor, Iteration Procedure, Liquid Helium-4 System, Regularity of Attractor

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