Global Attractor of the Liquid Helium-4 System in Hk Space

2013 ◽  
Vol 444-445 ◽  
pp. 731-737
Author(s):  
Zhi Bo Hou ◽  
Li Mei Li
Keyword(s):  
Existence Theorem ◽  
Liquid Helium ◽  
Global Attractor ◽  
Iteration Procedure ◽  
Helium 4 ◽  
Bounded Set ◽  
Regularity Estimates

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.

scholarly journals Regularity of Global Attractor for the Reaction-Diffusion Equation

2012 ◽  
Vol 2012 ◽  
pp. 1-16
Author(s):  
Hong Luo
Keyword(s):  
Sobolev Space ◽  
Diffusion Equation ◽  
Existence Theorem ◽  
Global Attractor ◽  
Reaction Diffusion ◽  
Iteration Procedure ◽  
Reaction Diffusion Equation ◽  
Bounded Subset ◽  
Regularity Estimates ◽  
Regularity Of Global Attractor

By using an iteration procedure, regularity estimates for the linear semigroups, and a classical existence theorem of global attractor, we prove that the reaction-diffusion equation possesses a global attractor in Sobolev spaceHkfor allk>0, which attracts any bounded subset ofHk(Ω) in theHk-norm.

scholarly journals Global dynamics of solutions for a sixth-order parabolic equation describing continuum evolution of film-free surface

2022 ◽  
Vol 27 (1) ◽  
pp. 19-37
Author(s):  
Ning Duan ◽  
Xiaopeng Zhao
Keyword(s):  
Free Surface ◽  
Parabolic Equation ◽  
Diffusion Equation ◽  
Existence Theorem ◽  
Global Attractor ◽  
Global Attractors ◽  
Sixth Order ◽  
Global Dynamics ◽  
Regularity Estimates ◽  
Iteration Technique

This paper is concerned with a sixth-order diffusion equation, which describes continuum evolution of film-free surface. By using the regularity estimates for the semigroups, iteration technique and the classical existence theorem of global attractors we verified the existence of global attractor for this surface diffusion equation in the spaces H3(Ω) and fractional-order spaces Hk(Ω), where 0 ≤ k < ∞.

Boiling kinetics of superheated liquid helium-4

1989 ◽  
Vol 74 (1-2) ◽  
pp. 119-131 ◽  
Author(s):  
N. M. Semenova ◽  
G. V. Ermakov
Keyword(s):  
Liquid Helium ◽  
Superheated Liquid ◽  
Helium 4 ◽  
Kinetics Of

A note on the purity of liquid helium-4

Cryogenics ◽  
1979 ◽  
Vol 19 (11) ◽  
pp. 682-683 ◽  
Author(s):  
C. Jewell ◽  
P.V.E. McClintock
Keyword(s):  
Liquid Helium ◽  
Helium 4

scholarly journals Creation of quantized vortices at the lambda transition in liquid helium-4

1993 ◽  
Vol 93 (5-6) ◽  
pp. 1059-1067 ◽  
Author(s):  
P C Hendry ◽  
N S Lawson ◽  
R A M Lee ◽  
P V E McClintock ◽  
C D H Williams
Keyword(s):  
Liquid Helium ◽  
Quantized Vortices ◽  
Helium 4 ◽  
Lambda Transition
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