regularity of global attractor
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Regularity of global attractor for a 3D magnetohydrodynamic-$\alpha $ model

2017 ◽  
Vol 120 (2) ◽  
pp. 97-114 ◽  
Author(s):  
Cung The Anh ◽  
Dang Thanh Son ◽  
Vu Manh Toi
Keyword(s):  
Global Attractor ◽  
Regularity Of Global Attractor

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.

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